{"text":"Question: Solve 0 = -2*n - h + 19 - 34, 4*h = -2*n - 18 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -339134015 divided by -2915?\nAnswer: 116341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 18\/12*7\/(-42). What is the closest to a in 1\/2, -0.8, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257144 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 9. Suppose 0 = -6*c - 10 + k. Which is smaller: c or 4\/25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**5\/5 + 14*o**4\/5 - 183*o**3\/5 + 536*o**2\/5 - 368*o\/5 = 0?\nAnswer: -23, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.49621 + -0.90605. Let k = -4.4 - a. Round k to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2a5d - -2?\nAnswer: -2a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - x + 9, -t + 18 = -5*x. Solve -4*p - t = 5*o, 5*p = 4*o - 18 + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10a7242 (base 11) in base 6?\nAnswer: -105151544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1396, 2793, 4190?\n\"Answer: 1397*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 20\/9. What is the closest to -67 in -5, 4, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 260 and 78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 346 - 504. Find the common denominator of 119\/12 and (4 - 9)\/(-80)*w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9765?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(1\/5)*q*q)*q\/(q\/q**3)*(q\/(q\/q**(-3)))\/q**(2\/15) assuming q is positive.\nAnswer: q**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9603907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggxxxkxkxkkkggk. Give prob of picking 1 x and 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176557574.\nAnswer: 2, 79, 223, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 796333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2994578 is divided by 240.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 20*x**2 - 27568*x + 11024 = 0?\nAnswer: 2\/5, 1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17539*g - 4046 = 17658*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3324 divided by 554.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-6)*-32*1. Suppose 0 = 4*i - 9*i - 2*v + 28, 0 = -5*i + v + g. Suppose 5*q = -u - 3, -2*q + 1 = 3. Calculate the remainder when i is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1494 and 4233?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65181 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -100  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220201122110121000 - 11?\nAnswer: 220201122110120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/3)\/((g*(g\/(g\/(g*g**2)))\/g*g)\/g))\/((g**(-3)\/g)\/(g\/((g*g*(g\/g**(-3\/2))\/g*g*g*g*g)\/g))) assuming g is positive.\nAnswer: g**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.1246 and -13995.29123.\nAnswer: -13995.16663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75117.0861s to weeks.\nAnswer: 0.12420153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10421131 (base 5) in base 14?\nAnswer: 25785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 251 - 7529\/30. Let x(z) be the third derivative of 0*z**3 - j*z**5 + 0*z + 0 - 4*z**2 - 1\/12*z**4. Suppose x(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/69396 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1b0 (base 15) to base 13\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39553, -158155, -355837, -632593, -988417, -1423303, -1937245, -2530237?\nAnswer: -3202273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.079, -1979, 4, -0.2 in increasing order.\nAnswer: -1979, -0.2, -0.079, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/7)*x**(-5)*x*(x*(x\/(x*x*x**(1\/3)))\/x*x)\/(x\/(x**8\/x)*x))\/((x*x\/(x**1\/x))**(-11\/3)\/(x**(-1))**(-8)) assuming x is positive.\nAnswer: x**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -8\/2275?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 6186?\nAnswer: -5\/6186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*l*s**6 + 17*l*s**3*z + 2*l*s**2 - 5*l*s*z - 6*s**3 + 22*s**2 wrt s?\nAnswer: -360*l*s**3 + 102*l*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -6 + 42 + -42 + 19\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.7465189 + -18.646528. Let g = -0.9 - j. What is g rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19473 * 312.6.\nAnswer: 6087259.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2364 = -25*m + 13111. Factor -1254 + 627 + 12*x - 6*x**2 + x**3 + m.\nAnswer: (x - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 14  (c) 8  (d) -0.2  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*q + 16. Suppose 2*g = -q - 1. Let z be g + (6 - 1) - 1. Solve c + z*c = -12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**2. Let y be 16\/(-32) - (0 + (-4)\/6). Let v(r) be the second derivative of 0*r**3 - r + 0 + 0*r**2 + y*r**4. Calculate u(v(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x + 209 = 233. Suppose 0*a + x*a - 16 = 0, 5*j - 5*a = 390. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and -243848.81525?\nAnswer: 243848.61525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, t: 6}. Give prob of sequence ccc.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16 + -14)*(-4)\/(-10). List the prime factors of 3\/(t\/(-320)) - 4.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1520428 - 4136*y**3 - 3021*y**3 + y + 1520485 wrt y?\nAnswer: -42942*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1595 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 m(f) = 5*f - 6*f + 3*f. Let j(h) = -5 - 2*h + 5. What is m(j(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -101.16 + 101.26. What is the closest to g in -141, 5, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7952?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001000010 (base 2) to base 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.954797kg in grams?\nAnswer: 2954.797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19.649 grams to tonnes.\nAnswer: 0.000019649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 - -33. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113388 = 83*q - 505469 - 621827. What are the prime factors of q?\nAnswer: 2, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 10*q**2 - 25*q - 6. Suppose 938 = -134*z - 670. Determine j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 577307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of y**6\/120 - y**4\/12 - 7*y**3\/3 + 7*y**2 + 2*y + 7. What is c(5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -702 = -3*h + d + 2, 5*h = -2*d + 1166. Solve -240*c = -h*c + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 333*k = 368*k - 30240. Is 45 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, -343, -11 in increasing order.\nAnswer: -343, -11, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-64)\/144*(-3600)\/275.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**4 + 3*w**4 - 3*w**4)*(-2*w - 4 + 4) + (w**2 + 2*w**2 - 6*w**2)*(-98*w**2 - 3*w**3 + 98*w**2) - 4*w**4 + 8*w**4 + 2*w**5 + 0*w**5.\nAnswer: 9*w**5 + 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 8. Let s = o - 10. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -338*q = 5*m - 343*q + 15, 2*m - 4*q = -12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 40545.56 minutes?\nAnswer: 2432733600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5957034497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-2) + -1 - -6. Let m be ((-5598)\/1555)\/((-84)\/20). Factor -2\/7*y**k - 4\/7*y**2 + 0*y + m*y**3 + 0.\nAnswer: -2*y**2*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 15*q**4 - 370599*q**3 - 12027057*q**2 + 96554679*q + 40522482 = 0.\nAnswer: -39, -2\/5, 7, 24739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/65640 and -77\/1740.\nAnswer: 1903560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -12*n**2 + n - 1. Let t be d(1). Let i be t\/(-78) + (-24)\/(-13). Is i smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and -0.6912.\nAnswer: -3.6912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssappspasps. What is prob of picking 2 p, 1 a, and 1 s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 446 = 5*w - 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 100?  (a) 4  (b) -1  (c) 0.06  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 519, 1037, 1565, 2109, 2675, 3269, 3897, 4565?\n\"Answer: l**3 - l**2 + 514*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(684)*6.\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*b + 19 = -b, 2*b = 3*m - 46. Suppose 467 = 7*w - m. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -18, 31869 in increasing order.\nAnswer: -22, -18, 31869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lgklokoookol. Give prob of sequence lkkg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1075644960.\nAnswer: 2, 3, 5, 13, 223, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/((c\/c**(-1\/28))\/c)*c)\/c*c*(c\/((c**(-1\/3)\/c)\/c))\/c*(c**(-3\/37))**(-1) assuming c is positive.\nAnswer: c**(16717\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4*((-30)\/5 - -7) - -279. Calculate the greatest common divisor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1\/2, -5, 1.1 in descending order.\nAnswer: 1.1, 1\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 7*h**2 + h + 9. Let g(m) = 3*m**2 + m + 4. Let l(o) = 10*g(o) - 4*z(o). Determine j, given that l(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -545*u + 444 + 492 = -154. Solve 4*b - z + 2 = 2*b, 0 = u*b - 2*z - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -10)\/(-1 - (-4)\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 + -4 + 0 + 0)*-23. Let b = f + -25. Let y = -3.11 + 0.11. What is the closest to b in y, -4\/3, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 29 = 4*t, 3*t = -5*u + t + 25. Suppose -4*o + o + 6 = 3*b, -2*o + 4*b + 22 = 0. Suppose -o*y + 13 - u = 0, 3*y = -2*r + 296. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 + 2*y + 20. Let z be q(0). Let d be z\/15 - 2\/(-3). What is r in 0*r**d - 3*r**2 + 2*r**3 + 2*r**3 - r**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/1*35\/(-21)*(-540)\/(-525).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 divided by -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4683)\/(-147) + 12\/(-14))*(-8 + 7).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -6*k + 20. Solve 1\/2*h + 0 + 1\/2*h**k - 1\/2*h**4 - 1\/2*h**3 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/3*-9033 + (-85)\/(-17). Calculate the greatest common factor of t and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 352*c - 3*c**4 - 352*c + 5 with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 11*o - 149. Calculate h(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1713960 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -1312 and -1311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of -s**3\/3 + s**2 - 8*s. Let n = 21 - 22. Let u be n\/(-2*4\/16). Let p(k) = 1. Calculate u*p(l) - o(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 99546.64 micrograms?\nAnswer: 0.00009954664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33252 divided by -16626.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 23  (b) 0.4  (c) -682  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -15. Let b be (-2)\/(-1 - -3 - x). Suppose r + 57 = 4*l, -4*l - l - b*r = -68. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 2*t**2 - 1. Suppose 49 = -3*z + 6*z - 5*a, -3*z + a = -29. Let j = z - 2. Let y be -5*(j\/5)\/(-3). Give i(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {l: 5, n: 2, x: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.028 - -2.772. Let t = k + -2.79815. Round t to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 51089480 divided by 988\nAnswer: 51710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-3)*(-12 + 6). What is the third derivative of -3*g**2 + 4 + 4*g**2 - v*g**5 - 4 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7932?\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 2478.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from ovjvfj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.1941, -22, 2.\nAnswer: -22, -2, 0.1941, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -716233, -1432383, -2148447, -2864425?\nAnswer: -3580317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -274 + -5?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/8)*m**(5\/4)*m**(-1\/6)*(m*m**(-5))\/m*m**(-1\/2)\/m*m**5*m*m**(-1\/10)*m*m*(m**(-1\/3)*m)\/m assuming m is positive.\nAnswer: m**(91\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o. Suppose -3 + 1 = -r. Let u(t) = r*t + 4*t + 4*t. Suppose 32 = 3*l + l. Determine l*p(f) + u(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -52360.8 + 458\nAnswer: -51902.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 94 = s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 90 = 5*o - 0, 2*o + 5*c - 13 = 0. Let m = 21 - o. Suppose -7 = -m*x + 3*j, -2*x = -3*x - 3*j + 8. Let l(i) = i**2 - 9*i - 3. What is l(x)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -5*p - 10, -6*t + 3*p = -9*t - 18. Put t, -7, -2, 336 in increasing order.\nAnswer: -7, t, -2, 336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + q + 3*q - 490, 2*j - 475 = q. Let y = 240 - j. Sort -3.4, -2\/7, y in decreasing order.\nAnswer: y, -2\/7, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-45)\/21)\/((-138)\/(-805))*(-8)\/30. Determine b, given that 0*b**2 + 0 + 0*b + 2\/3*b**5 + 0*b**3 + o*b**4 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -4*b**3 + b**2 + 2*b. Let r(h) be the third derivative of h**6\/30 - h**5\/60 - h**4\/12 - 10522*h**2. Calculate -3*f(g) - 2*r(g).\nAnswer: 4*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g*g**(-6))\/(g\/g**(-3\/5))*(g*g**6)\/(g\/g**(-1)))\/((g*g\/((g\/((g**(1\/2)\/g)\/g))\/g))**(24\/7)\/(g*g**6*g*(g*g**(-4))\/g*g*g)) assuming g is positive.\nAnswer: g**(164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (15\/5 - 5)*-4. Differentiate -35 - 6*x + 2*x - g*x wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 42 = -5*x. Let k be (16\/x)\/((-6)\/56). Factor 16\/3*t - 2\/3*t**2 - k.\nAnswer: -2*(t - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 829*z**2 + 975*z**2 - 585*z**2 to the form c*z + b + q*z**2 and give q.\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 104497031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -706 (base 12) in base 15?\nAnswer: -479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(210)\/sqrt(216))\/sqrt(5).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 19*l - 18*l = -25, -5*i - 85 = -5*l. Suppose -30 = -3*b + 45. Let z = i + b. Solve -2*t - 18 = -3*t - z*p, t - 5*p = -27 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -302 + 35636?\nAnswer: 35334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -l + 4, -4*d - 7*l + 16 = -3*l. Let a(q) = q**2 + q + 44. Is 16 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*b**3 - 12*b**2 + 85 - 85 - b**4 + 8*b - 52*b**3 as h*b**4 + r*b**3 + q + m*b + x*b**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) + 1)*6 + -2*sqrt(2448)*-5.\nAnswer: 6 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*6\/8*2. Suppose -24*f + 5 = -19*f. Solve -u - 3*g + f = 0, 5*g = -q - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 36308, 36434, 36670, 37034, 37544?\n\"Answer: 3*w**3 + 37*w**2 - 6*w + 36274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, -5, -3, -520 in decreasing order.\nAnswer: -1, -3, -5, -9, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/99 and 116\/(-609) + 4*1.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-114)\/(-68) + (-4050)\/2700?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138821.\nAnswer: 138821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(2\/9 - (-76)\/(-18)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12111111 - -112?\nAnswer: 12112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 6:20 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2876, 2854, 2822, 2774, 2704?\n\"Answer: -y**3 + y**2 - 18*y + 2894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 (base 6) in base 7?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9850*a**2 - 9851*a**2 + 39290*a**2 - 9742*a**2 - 9850*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 278748, 557498, 836248?\n\"Answer: 278750*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 248 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8334.838us in nanoseconds?\nAnswer: 8334838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 y when four letters picked without replacement from {y: 5, b: 8, f: 5, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -a + 2*v, -v + 3*v = 4*a + 8. Let z = 3 + 0. Suppose -2*s = w + 9, 4*w + 3*s = 6*w + 4. Sort w, a, z.\nAnswer: w, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11132 (base 5) to base 15\nAnswer: -37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*x = -2*x - 1875, 617 = i - 4*x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 17 - 1 = 0. Suppose 0 = 5*d - 5*f + 4 - 19, 0 = -5*d + 4*f + 12. Solve d*y - 4 = y + 2*i, -3*y - 2*i - l = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 20, 3*b + 8 = b + u. Suppose 2*z = z - 8. Let q be (4 - (-4 - z))\/b. Solve 4 = -q*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooeeooeeoeo.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -8. Let g = 0 + -7. Let q = g + d. Sort 1\/2, 0.1, q in increasing order.\nAnswer: 0.1, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-138)\/(-207)*3\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0.4, -4, 25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2, 5*u - 18 = -4*i + 48. Suppose -6*t + u = -4*t. Let x(z) = 181*z. Let k(a) = -241*a - 2. Let n(r) = -3*k(r) - 4*x(r). Determine n(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*3 - 24\/((-4)\/1). Suppose -3*l - b = h - 11, 5*l - 12 = -h. Solve u = -h*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 28*j**2 + j - 2. Let m be i(2). Suppose -m = -4*d - 36. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 + 12*v + 30. Let t = 60 + -66. Let w be f(t). Let z(q) = -55*q + 17. Is z(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14122 and 6529?\nAnswer: 92202538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 1:10 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -2 + 3 + -1 + (-36 - -39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1798*z - 375*z - 94*z - 1778*z.\nAnswer: -4045*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((5\/4)\/((-59)\/(-236)))\/1. Solve -4*k - 3*y + a = 0, 0 = 3*k - 3*y + 4*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*q - 2*z - 6, z = -3*q - z + 38 - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 97330482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(847) + sqrt(847) + sqrt(847) + 5)**2 - 5*(sqrt(847) + 4))*-2.\nAnswer: -27114 - 770*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sclcliclcvclc. What is prob of picking 1 s and 3 l?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3645 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 847 and 7204098.\nAnswer: 50428686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2073*j**2 - 2463*j + 390 = 0?\nAnswer: 130\/691, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -518, -529, -554, -599, -670, -773, -914?\n\"Answer: -h**3 - h**2 - h - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 691645306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 172 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1093 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 2*z - 2*z + (4*z + z - 3*z)*(4 - 2 - 1) + (-733*z + 1175*z - 877*z)*(4 - 4 - 3))*(-3*z**3 + 3 - 3).\nAnswer: -3918*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: a (base 12) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 3\/14, 4, 0.4, 2\/15, 0.3, 7, -0.12?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202002102111 (base 3) in base 8?\nAnswer: 3422225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 0 - 83\/2*t**2 + 0*t**3 - 22*t + 25\/4*t**4. What is the derivative of f(y) wrt y?\nAnswer: 150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*h - 175*h = 9054 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4603, -4631, -4659, -4687, -4715?\n\"Answer: -28*m - 4575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -311.49 - -312. Let o = 0.41 - b. What is the fourth biggest value in -3, 2, o, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34117 and 99221.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 4*i**2 + 14*i. Let v(h) = -h**2 - 3*h. Let x(f) = 14*v(f) + 3*y(f). Let c(s) = 4*s + 7 - 12 + 5. Determine x(c(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/12418441 or 0?\nAnswer: 2\/12418441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -7*g**2 + 125*g - 27. What is f(18)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10763 and 4580.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126714 and 12936?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4291  (b) -0.4  (c) -0.1  (d) 5  (e) -1  (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 38*m**2 - 63*m + 139. Determine z(40).\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 divided by -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.7  (b) 1  (c) 46  (d) 1\/3  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -9, q - 6*q - 1 = -2*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - 0)\/2 + -2. Let x(d) = -35*d - 1. What is the tens digit of x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-24)\/(-14))\/(38\/399). What is the common denominator of 2938\/1638 + (4\/2)\/h and -71*2\/60*-2?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -271 + 23*u + 271 + (-7*u + 3*u + 7*u)*(0 + 4 - 2).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2\/81, 239, -2, -3\/7, -2\/7 in ascending order.\nAnswer: -5, -2, -3\/7, -2\/7, -2\/81, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1a - -3a202?\nAnswer: 3a1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - -2)*39\/6. What is the greatest common factor of h and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 44\/3*u**4 + 0 + 106*u + 0*u**3 - 43*u**2. What is the derivative of v(b) wrt b?\nAnswer: 352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-4)\/(-1) - (5 - (-63)\/(-7)) and 132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4354*c**2 - 2*c + 2. Let p(f) = 3470140*f**2 - 1595*f + 1595. Let s(o) = 1595*j(o) - 2*p(o). Let m(h) = 4*h**2. Give m(s(l)).\nAnswer: 75690000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6163 - -6166. Which is the closest to -0.1?  (a) 0  (b) l  (c) -24  (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.83 - 0.17. Which is the nearest to 1?  (a) k  (b) 1  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a**2 + 4*a**2 - a**3 - a**2 + 47*a - 37*a.\nAnswer: -a**3 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**3 + 5490*g**2\/7 - 2446*g + 2334\/7 = 0. What is g?\nAnswer: 1\/7, 3, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32780 and 45892?\nAnswer: 229460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -4*d - 40. Let w = d - -68. Solve -5*y + 18 = 4*q - 8, 4*y - w = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**2 + 585*z - 6036. What is g(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0, -0.05, 0.5, -0.4, 1137, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 - 8*z**2 - 4*z + 8. Determine l(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 176 times 7\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*i - 107965 + 107965 - 495*i.\nAnswer: -444*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zizquuiiquztikuqqqtq. What is prob of picking 1 i and 1 z?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.116 and 0.046.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -32, -28, -22, -14, -4, 8?\n\"Answer: s**2 + s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*j**3 + 6 + 2*j**4 - 5 - 4*j**3 to z*j**2 + f + o*j**4 + c*j**3 + p*j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j. Suppose d = 6*d - 55. Let r(g) = -d*g**2 + 7*g**2 + g - g. Calculate r(f(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/1188 and 55\/63?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 4*z = 28. Let l(n) = -20*n. What is the remainder when l(-2) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 211211023 - 11?\nAnswer: 211211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00369713 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1596, -1807, -2078, -2409?\n\"Answer: -30*u**2 - 121*u - 1445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 3*w. Let o be m(-3). Solve 15 = -5*y - o*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1334789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1112\/13, -137, -1 in descending order.\nAnswer: 1112\/13, -1, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4314 (base 11) in base 7?\nAnswer: 22424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 556\/8 + 6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2466*q**3 + 2*q**2 + 52*q + 93. What is the ten thousands digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + y)*(2*y**4 - 3*y + 3*y) + (3*y**3 - y**3 - 4*y**3)*(3*y**2 + 0*y**2 - y**2) + 12*y**5 - 56 + 56.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 6 = -4. Suppose -3*o + 3 = -t - 1, 4*o = -4. Let f(x) = -3*x + 4. Let m be f(t). Calculate the greatest common divisor of m and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 + 29. Is o smaller than -1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 60*q + 3. Let u be k(-2). Let p be (-3 - -1) + (-240)\/u. Let i = p + 68\/195. Is 0.3 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67942717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -28*w**2 + 3. Let a(x) = 252*x**2 - 28. What is -3*a(t) - 28*r(t)?\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -10\/3, 0.2, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, 0.2, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2844412g to micrograms.\nAnswer: 284441.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 236*x + 151*x - 196*x)*(-x**4 - x**4 + 4*x**4).\nAnswer: -562*x**5 - 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -456\/5*n - 392\/15 + 14\/15*n**2 = 0. Calculate n.\nAnswer: -2\/7, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(68)*3)\/((sqrt(48) + sqrt(1728) - sqrt(48))\/sqrt(12)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -12*o + 6. Let q be h(-7). Suppose -6*t = -t - q. Calculate the remainder when t is divided by (-4)\/(-18) - 704\/(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 13 + 5 + (6 - 16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/2 and 74\/597.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -5*h - 1. Let w = 3 + 0. Suppose -w*g + 2*g = 2. Let k(v) be the first derivative of v**2\/2 + 3. Determine g*z(q) - 11*k(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 627 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 127564 * 0.9\nAnswer: 114807.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 5*r = -160, -40*a - r + 59 = -38*a. Calculate the remainder when (-2)\/(-3)*(-477)\/(-6) is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.8 - 2.2. Let b be -29 + 25 - (-119)\/(-35)*(2 - (-17)\/(-6)). Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1331) + -1)*6 - -1*((0 + sqrt(11))*-3 + -5).\nAnswer: -11 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5365 divide 1436004446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vmvm when four letters picked without replacement from vmvmvvvvmvvvvm.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9426, 9434, 9446, 9462, 9482?\nAnswer: 9506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1619728 is divided by 167.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*z + 166*z - 60*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (0 - 15) - (831 - 815).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 77063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) 1\/937  (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -133865*i**2 + 110*i = 0. What is i?\nAnswer: 0, 22\/26773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((c\/c**(1\/8))\/c)\/c)\/c)\/c)**(-33)*((c\/(c\/(c*c\/(c**(1\/8)\/c*c))))\/c*c)\/((c**(3\/7)\/c)\/c) assuming c is positive.\nAnswer: c**(746\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -6*o + 4*r + 184, 0 = 4*o + 4*r - 152. What is the greatest common divisor of o and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64256249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.56 + -3.713. Round b to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -579*j**2 - 8690*j - 74. Determine c(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z\/(((z**(-9)*z)\/z)\/z)))**(-15) assuming z is positive.\nAnswer: z**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = -15045 - 24648 + 275265. What are the prime factors of x?\nAnswer: 2, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 78\/26*30\/4*(1060\/(-3))\/53\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11100201 (base 3) to base 13\nAnswer: 15a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -28502 + 1a44?\nAnswer: -26569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -220202 (base 3) in base 10?\nAnswer: -668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 20 = 40. Let l = 33 - i. Suppose 2*u = l*u - 33. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, k: 3, r: 1}. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12819 - 8684. Suppose n = 8*v + 1303. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 12*u = 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - 3*n**2 - 7*n + 18. What is k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1414105041 (base 6) in base 11?\nAnswer: -9827456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.96 and -10563038.\nAnswer: 10140516.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 74*d**2 - 235*d + 152. Is z(-49) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 7, 5, 3, 88, -66 in decreasing order.\nAnswer: 88, 7, 5, 3, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 2*n - 4, -29*n = -4*k - 24*n + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30815.\nAnswer: 5, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*-1))) - sqrt(156))*-3)*4)\/(-1*sqrt(12) - sqrt(3) - sqrt(192)).\nAnswer: -8*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0 - 148*4\/168 and -61\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 9*m + 3. Let f be o(9). Let w be 2*f\/((-18)\/(-2)). Determine h, given that 0*h - 1\/3*h**4 - 1\/3*h**2 + 0 - w*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13728 and 55616.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of 0 + 0*y - 2*y**3 - 1\/12*y**4 + 8*y**2. What is the first derivative of m(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -529 + 532. Solve 0 = 2*b - 2*n + 4, l = -4*b + n - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2027458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 2\/19, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 393799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 2*r - 1. What is the remainder when t(-7) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 1\/530  (c) -1\/4  (d) 1  (e) 14  (f) -1\/3  (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 79 + -49. Suppose 4*s = 9 + 3. Suppose -28 = -s*q + 107. What is the highest common factor of b and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and 5.65612.\nAnswer: 0.65612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5811?\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15*(132\/75 - -1)*10. Let q = t - 330. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1066 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 16\/5, 5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 5 + sqrt(20) + (0 + sqrt(5))*3)**2 - (3 + (sqrt(50)\/sqrt(2) + sqrt(25))\/sqrt(5) + 1*-1*sqrt(5)))*-5.\nAnswer: -930 - 395*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 is divided by 176?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 67 - 7 - (30 + -2 + -7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 16 + -26 - -16 - 27\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -515*h**2\/4 + 316675*h\/4 + 15375\/2 = 0.\nAnswer: -10\/103, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*q - 120 + 48 = 40. Solve q*g + 8 - 43 = 5*s, 14 = -3*s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**2 - 8 + 14*l - 16 + 15*l + 21 to b*l + o*l**2 + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -251\/3 - -83. Let m(i) = -2*i**2 + 9*i + 9. Let f be m(5). Sort h, f, -2, 5.\nAnswer: -2, h, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - -3) + 4 + -5. Suppose -4*o = 2*g - 4*g, -5*o + 1 = -f*g. Solve -3*a = -b + 7, 3*b - g*b + 5 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - z)*(z - 4 + 4) + 232*z**2 + 29*z**2 - 12*z**2 + (-9 + 9 + 4*z)*(-z + 2*z + z).\nAnswer: 256*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 714157559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 156202 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82 by -82.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**4\/9 + 172774*p**3\/9 - 413122660*p**2 - 572975282200*p\/9 + 1160821598000\/9 = 0. What is p?\nAnswer: -155, 2, 43270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6200 or -6202?\nAnswer: -6202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 92*q - 97*q - 1 to the form z*q + p and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -1805 and -1764 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/24)\/((-16)\/3584*-4)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/46)\/(6*(-39)\/(-36))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.09 - 0.19. Which is the second smallest value?  (a) r  (b) 0.1  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(180) - (sqrt(180) + -1))*-2 - sqrt(180))**2 + sqrt(180) + -2 + sqrt(180) + -1.\nAnswer: 36*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - (0\/2)\/(-4). Let f(p) = 990*p**2 + 2*p - 1. Let n be f(d). Suppose -279 + n = 4*l. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/6)\/((-4)\/(16\/3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -432 divided by -6\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*(-6*sqrt(76)\/sqrt(4) - (sqrt(133)*-1)\/sqrt(7)))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**5 + 0*s**5 - s**5 + (-2*s - 4 + 4)*(-5*s**4 + 10*s**4 + 10*s**4).\nAnswer: -31*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyhyyyyyyyyyy. What is prob of picking 4 y?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 63 + -115. Let r = -32 - g. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 1)*10\/(-20). Let d(s) = 3*s**2 - 2*s + 1. List the prime factors of d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4947 and 2556435.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 285986975 divided by 4637\nAnswer: 61675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-440))\/((260\/(-20) - -18)\/(-8))\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 divided by -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -132 + 87. Let v be 1200\/l*(-12)\/5. Suppose -5*s = -21 - v. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.708143 kilometers to micrometers.\nAnswer: 7708143000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + -3 - 0) + 7 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29325.\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a kilometer in meters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3022 = 4*c, -3*a = -101*c + 105*c - 9178. List the prime factors of a.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114579415267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -5\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of 4031*m**7\/42 - 2*m**3\/3 - 265*m**2 + 1488*m - 1. Find the second derivative of v(j) wrt j.\nAnswer: 80620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z - 3. Let s be x(-3). Suppose 2*m = 5*f - 4*f + 5, -4*m - f + 13 = s. Suppose 2*i = m + 5. Solve -9 = -3*o - 3*y, -y - i*y = 4*o - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.945 - 0.055. Which is the second smallest value?  (a) -0.3  (b) z  (c) 2\/3  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 559*d. Let f(j) = 16*j. Let l(s) = -104*f(s) + 3*v(s). Let y(p) = 25*p. Give l(y(m)).\nAnswer: 325*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**2 - h. Let t(d) = -d**2 - d - 1. Let q(r) = b(r) + 3*t(r). Let z be q(-3). Solve z = 3*m + 3*w + 19 + 5, 0 = 2*m - 5*w - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -w. Let c(q) = -3*q - 4. Let n be c(w). What are the prime factors of -4 + 164\/4 + n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 AM and 1:12 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (2\/4)\/(14\/28). Suppose x = -5*r + 3*l + 12043, -3*r + 8*l - 3*l = -7213. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t**3 - t**2 + 7*t + 5. Let d be c(-4). Suppose -d = -p + 10*p. Let q = 22 + p. Solve -8 - 12 = -q*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x\/((x*x**1)\/x))**(1\/28)*x**(-1)*(x*x**(-3\/4)*x*x*x*x)\/x assuming x is positive.\nAnswer: x**(65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*p - 64714 + 308633. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 2*f - f)*(0*f + 3*f + 0*f)*(1154 - 623 - 339).\nAnswer: -576*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 624 - 424. Solve -195*k - 10 = -g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 67*h + 468. Does 69 divide w(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 10*w**3 + 55946*w**2 + 111862*w + 55926 = 0?\nAnswer: -27963\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + 5*q - 5, 1140 = -4*o - 16*q + 1104 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -7*b - 16. Let d(n) = 2*n. Let q be d(-1). Sort q, b, -3.\nAnswer: b, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-7) + (-20)\/14. Let t be -5 - (11\/5 - 7). Let z = 0.051 + -0.051. Which is the nearest to u?  (a) t  (b) -2\/7  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p**2 + 19*p - 10. Let m be w(-7). Suppose 0 = 4*g - 5*g. Suppose 0 = 2*c + c + 15, g = m*t + 4*c + 8. What is the remainder when 3 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/4)\/((f\/(f\/((f*f**(1\/8))\/f)))\/f))\/(f*f**(-2\/21)*f*f\/(f**(-2\/9)*f))*((f**(-1\/3))**(2\/7))**(-2\/15) assuming f is positive.\nAnswer: f**(-277\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = 2*d + 205. Let o = 57 - d. Let k = o + -11. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 8365*a + 446131. Determine h(-53).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ziiziizzzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3.861 + 594600683\nAnswer: 594600679.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*v - 11*v**3 - 38*v - 3.\nAnswer: -11*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {l: 3, c: 2, f: 2, u: 1, g: 3, m: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 276*z - 125. Let c be (-1332)\/(-468) - 4\/(-26). Let p be w(c). Calculate the highest common factor of p and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1804464628 - -1804464559.99999736. Let n = 68 + x. Round n to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/18 - -1)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-7 - -6) - 18\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(3\/4))**(-1\/7))**45 assuming u is positive.\nAnswer: u**(-45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 28*i**2 + 241*i + 21. Let j be y(-9). Solve -30*d + j = -54*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77183?\nAnswer: 79, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*t - 12 = 0, -9 - 3 = 4*y - 4*t. Let d = -216 + 1113\/5. Let c = -1297\/195 + d. Are y and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w + 3*w. Suppose -2*q + d + 19 = q, w = 4*q - 5*d - 29. Solve q*h - h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-900)\/(-16) + 1\/(-4). Suppose z = 5*s - 3*s. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5058980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 + -46.36. Let h = 0.12 + l. Let z = -1.2400252 - h. What is z rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 307 a factor of 62283274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwbbwbwwbbww. What is prob of picking 2 w?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 29766 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**3 + 2764*l**2 - 45680*l - 102448.\nAnswer: -4*(l - 674)*(l - 19)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 42 = -6. Suppose 5 + 15 = b + l*m, -m + 12 = 2*b. Suppose b*q + 4 - 12 = 0. Solve -4*t - 2*h = -t + 15, 0 = -q*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40353 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*2\/(-4)*27. Find the common denominator of -31\/10 and (-71)\/u*24\/(-16).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9*b**2*o - 11*b*o + 20508*b - 22296858*o wrt b?\nAnswer: -18*b*o - 11*o + 20508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 20*w + 38. Let z be x(-2). Let g be 6*(46\/(-69))\/(z - 0). Solve -4\/5 - 6*l**4 - 102\/5*l**g + 94\/5*l**3 + 42\/5*l = 0.\nAnswer: 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11043144 - 4?\nAnswer: 11043140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/3*(-64071)\/(-15255)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 13) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14104 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -634 divided by 3.\nAnswer: -634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -5 + -1 + sqrt(288) + 0 + -4)**2.\nAnswer: -216*sqrt(2) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 24*x**2 - 24*x - 23. Let z be u(25). Solve -2*r = -4*r - h + 2, 0 = 2*r + z*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -26013*i**2*u - 16410*u wrt i.\nAnswer: -52026*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 5*b = 0. Suppose 4*t - 4 - 4 = b. Solve -3*g + t*g - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1252588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 25932*n**3 + 501*n - 78*n**2 - 714 + 25929*n**3 - 51858*n**3 = 0?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c**3 + 2 - 2)*((2 - 6 + 2)*(89 + 180 - 23)*(0*c - 2*c + 4*c) - c + 3*c + 0*c) as m*c**3 + b + y*c**2 + x*c**4 + p*c and give x.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -60387 + 5?\nAnswer: -60382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 453333748.\nAnswer: 2, 7, 107, 337, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 20 = -4412*n + 4408*n, -33 = 3*d + 3*n for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -2\/3, -4336, -0.2, -0.05, 1\/5, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {j: 1, c: 1, l: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 420 + -0.5.\nAnswer: 419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r + 67 = 3*r + 50 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1253, 2704, 4317, 6098, 8053?\nAnswer: 10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-230)\/100 + 2\/(-4 + -6)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 8*u**3 + 671*u**2 - 53*u + 2604. What is x(-84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -3. Solve -3*r**4 - b*r**3 + 0*r - 4*r**2 - r**3 - r + r**4 = 0 for r.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74, 69, 64, 59, 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 234 and 1248.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 0. Suppose -i*n = -n - 40. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w**3 - 4*w**2 - 2*w. What are the prime factors of z(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w + 17. What is q(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -10*x**2 - 31*x - 11. Let c(j) be the third derivative of j**5\/30 + j**4\/4 + j**3\/3 - 9*j**2 - 4*j. Let r(f) = -11*c(f) - 2*g(f). Factor r(n).\nAnswer: -2*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of 6*t**3 - 9 - 11\/2*t**2 + t. Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(475) - (sqrt(475) + 4)) + -3 + sqrt(475) - sqrt(475)) + 6*(sqrt(475) + sqrt(475)*5 + sqrt(475) + sqrt(475)) + 3 + -2)**2.\nAnswer: -14400*sqrt(19) + 5472180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/(12\/(-249))*4\/(-10) and (-46206)\/3900 + 14 - (1 - -1)?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -57952?\nAnswer: 1\/14488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1984916, 1984919, 1984924, 1984931, 1984940, 1984951, 1984964?\nAnswer: 1984979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3 + 399*k**2 + 16320*k + 211968.\nAnswer: 3*(k + 32)**2*(k + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28885 divided by -5777.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/8*(-132)\/36 + 1)\/(1164\/(-776))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468391921.\nAnswer: 468391921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -313 (base 6) to base 11\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -128584000 to the nearest 1000000.\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1242769 or 1242770?\nAnswer: 1242769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14790*c**2*m*s + 95*c**2*m + 6770*c*m**2 + 2*c*m*s + 10*m**2*s wrt s?\nAnswer: 14790*c**2*m + 2*c*m + 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -1803?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -65246*z + 65247*z + 5*d, 0 = -12*z - 4*d - 60 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of -127*y**6\/40 - 1103*y**5\/60 - 1687*y**2. Find the third derivative of z(x) wrt x.\nAnswer: -2286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -110, -435, -976, -1733, -2706, -3895?\n\"Answer: -108*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -3, 302, -7, 3, 14 in descending order.\nAnswer: 302, 14, 3, 2, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3 = 3*u. What is the derivative of 3*j + j - 6*j + u wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*a**3 + 34*a**3 + 30*a**3)*(4*a - a - 2*a) + (-1 + 2 + 0)*(-5*a**3 + 5*a**3 - 4*a**4) as w*a**2 + i*a + c*a**4 + y + k*a**3 and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**4\/20 + a**3\/5 + 117. Solve o(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**6\/24 + 2*x**5\/3 - 95*x**4\/24 + 25*x**3\/3 + 7*x**2. Determine z so that v(z) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111111 - -20?\nAnswer: -111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3112146 - -12146. What is o rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/78)\/((-4)\/(-18)). Let f = 35\/78 + z. Let x = 313357\/8 - 39169. Which is the biggest value?  (a) x  (b) 0.4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15.2, 1, 5, -1.\nAnswer: -15.2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -16.8 and -17107561.8?\nAnswer: 17107545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 0. Solve 2*v - 7*v + 20 = q, -v = -z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-17)\/4 - 132\/(-33). Which is the fourth biggest value?  (a) 0.1  (b) -2\/15  (c) u  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -7*g**2 + 2*g - 4. Let p(t) = 7*t**2 - t + 5. Let c(j) = -j**2 + j. Let v(r) = c(r) - p(r). Let y = -88659 - -88661. What is y*v(k) - 3*s(k)?\nAnswer: 5*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 197598 by -65866.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, f: 6, u: 1}. What is prob of sequence ut?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 6:42 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -38404 plus -15554?\nAnswer: -53958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**2 + 53. Calculate c(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 495.02 - 500. Let u = n - 0.02. Sort -4, -0.3, u in ascending order.\nAnswer: u, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 - f. Let x be 4 + 8\/((-16)\/6). Let q = -18 + 13. Let l(p) = -6*p**2 - 7*p. Give q*y(u) + x*l(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**2 + 2. Is 19 a factor of h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*z**3 + 18538*z**2 - 810854*z.\nAnswer: 78*z + 37076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 112 + -264. Let k be -105 - ((-2)\/2)\/(-1). Let v = k - l. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1258 - 2589 = -144*h + 185 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/((-12)\/(-8)) - (5 + -9). Suppose 0*t = 4*t - 4592. Suppose 0 = -6*i + a*i + t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 200 - 202. Let v(m) = -m**2 + 4*m - 3. Let p be v(4). Let n be (2\/((-6)\/p))\/2. Which is the nearest to 0?  (a) 1  (b) u  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 89.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13\/1974 or 2\/11?\nAnswer: -13\/1974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 7857907.\nAnswer: -4\/7857907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1342839413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14624*z**2 - 11*z + 2 - 7314*z**2 - 5*z**4 - 7310*z**2 + z to j + g*z + m*z**2 + r*z**4 + t*z**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 100119831 and 7.8748.\nAnswer: 100119838.8748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 7. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 366\/5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270342?\nAnswer: 2, 3, 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5034830 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + -3 - 2\/7. Let l = -2.85 + 1.85. What is the closest to x in l, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(25\/2))\/((-31)\/(1 - 7596)). Calculate the highest common factor of j and 7399.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 16*l + 26. Let w be j(4). Let r = -52 + w. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of u**7\/3360 + u**6\/240 + 3*u**5\/160 - u**4\/3 + 7*u**2. Let s(i) be the second derivative of v(i). What is t in s(t) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1985 divide 521008905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 4*t + 4*y - 356, -12 = 3*y. Let h be ((-90)\/(-25))\/(2\/t). Suppose o = -0*o + h. Calculate the greatest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -705*t**2 - 2*t**3 + 4*t**3 + 844*t**2.\nAnswer: 2*t**3 + 139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-9)\/(((m*m**(-1\/8))\/m)\/m)*(m\/(m*m**(-1\/2)*m))**(-1\/15))**(-42) assuming m is positive.\nAnswer: m**(6587\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from okxoockookk. Give prob of picking 1 c and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(((g*g*((g\/g**(2\/73))\/g)\/g)\/g)\/g)*g\/g**(2\/5)*g*g*(g**(-16)*g)\/g*(g\/g**(4\/9))\/g assuming g is positive.\nAnswer: g**(-38819\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 387770 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31367927 - 31367927 + 9*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 77870, 311474, 700814, 1245890?\n\"Answer: 77868*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 463322730 and 39?\nAnswer: 463322730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 9*k**2 + 8*k - 1. Let w be f(-7). Suppose 5*t - w = -11. Let n be (8\/12)\/((-2)\/t). Let x(c) = 4*c + 1. Calculate x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, t: 3, v: 7}. Give prob of sequence tv.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of 0*r + 0*r**4 + 3*r**2 - 1\/3*r**3 + 159\/7*r**7 + 151 + 0*r**5 + 0*r**6. Find the third derivative of y(k) wrt k.\nAnswer: 19080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 4:48 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 8*k - 42 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-214 + 121 - 370)*(5*t**2 + 0*t**2 - t**2)*(-1 + 1 - 7*t**2) in the form u*t**4 + b + r*t**3 + x*t + k*t**2 and give u.\nAnswer: 12964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8493608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*t + 12 - 68. Suppose 0 = -a + 2*o - 0 - 3, t*a - 33 = -o. What is the remainder when 8 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 3*g = 5 + 1, -4*h + 4 = -4*g. Suppose -h*i + 14 = -i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -37*n + 79*n + 168. Let p = 1.02 + -0.02. Let w = p - -2. Sort w, -2\/13, n, -5 in descending order.\nAnswer: w, -2\/13, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 0*y - 81. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/3))**43\/(a**(1\/3)\/(a\/a**(-1\/4))))\/((a*a\/(a\/(a**5\/a)))\/a**(-1\/4))**(5\/8) assuming a is positive.\nAnswer: a**(2525\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4 + 0. Let h = 0.5 + c. Let d = h - 0.2. Sort d, 2\/7, -5 in descending order.\nAnswer: 2\/7, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4449, -5, 4, 60 in decreasing order.\nAnswer: 60, 4, 1, -5, -4449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 6 = 0, -2*m - 2*m + 129 = 5*c. Let f(o) = 77*o**2 - m*o**2 - 40*o**2. Let i(a) = -2*a. What is f(i(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zje when three letters picked without replacement from zwajzewva?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19824997*d**2 + 18384747*d?\nAnswer: -39649994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4007794 and 3678?\nAnswer: 12023382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 61*y + 3780. Give a(-62).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 3, m: 6, n: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 209 - 317. Let k = -104 - r. Solve 0 = 4*h - 2*a - 2, -4 = k*h + a - 5*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-69 - 13 - ((5 + -4 - -12) + -8))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vooievcg. Give prob of sequence eiv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 + 6*f. Let r be c(6). Suppose r = -2*y + 8, 0 = g + 3*g - 5*y + 20. Solve g = -2*v + 2 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*45\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.20286 to 3 decimal places.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 83*w - 88*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by 73.\nAnswer: -43\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5, 17, 69, 163, 311, 525, 817, 1199?\n\"Answer: 2*g**3 + 3*g**2 - g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13385 and 95708104?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 6*p**3 + 2*p**2 + 7. Let v(w) = -w**3 + 1. Calculate -i(l) + 5*v(l).\nAnswer: -11*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + 24 + 26 + 1081. Calculate the highest common factor of 4794 and s.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7 - 5)*(-3)\/(-18). Let m = -0.11 - -2.11. Which is the closest to -1\/4?  (a) h  (b) m  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 28\/(-9)*(-48)\/56 + (-8)\/4. Which is the third biggest value?  (a) -22.98  (b) z  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 271301, -1, 5, 15 in decreasing order.\nAnswer: 271301, 15, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 94 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of 0 + 2\/3*z**3 + 2*z**2 - 1\/10*z**6 + 0*z**5 + 0*z**4 + 0*z. Differentiate a(r) with respect to r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 80358 by -26786.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 16 - 2837*y**2 + 24.\nAnswer: -2837*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 139248*h - 6683902. Give q(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 3:40 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7336 and 2912?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -3738?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + -2a18556?\nAnswer: -2a18557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -3*s**2 - s + 1. Let i be x(1). Does 9 divide 27*(3\/i + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**4\/4 + 2*t**2 + 3*t - 2422. Suppose 4*h = i - 5, 2*h - 7*h - 16 = 2*i. What is a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/5)\/s**(-1\/15)*s**8\/((s\/s**(2\/11))\/s) assuming s is positive.\nAnswer: s**(1328\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -61. Factor 6*o**2 - 4*o**3 + 4 - 42*o + 6*o**2 + b*o.\nAnswer: -4*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.024*7.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7573959301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 <= -112.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87701202 to the nearest integer?\nAnswer: 9365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wdwc when four letters picked without replacement from {w: 2, l: 6, d: 1, f: 3, c: 4}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8420?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.069 + 0.969. Which is the third biggest value?  (a) j  (b) -203  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j + 18. Let b be p(13). Suppose b*r - r = 48. Let a(d) = -d + 14. Let c be a(r). Solve u + o = -3, 0 + 2 = -c*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -12 - 23769?\nAnswer: -2377b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -6*t - 44. Let r be a(-8). Suppose -v + 2*g + 1982 = 3*g, 0 = 2*v + r*g - 3970. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r**3 - 19*r**3 - 383*r**2 + 2*r**4 + 1 - 382*r**2 + 1 + 766*r**2 to the form o*r**4 + a*r**2 + p + d*r + k*r**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -1  (b) -3823  (c) 0  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 n when four letters picked without replacement from wqbqbbbbbbbbnwbnbb.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 570 and 411680790.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 11*u - 7*u. Let g be (-73)\/u + (-18)\/(-12). Let j(h) = -1 - g*h**2 + 36*h**2 + 1. Let x(f) = -22*f**2. Give x(j(k)).\nAnswer: -88*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.545286*0.078.\nAnswer: -0.042532308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41305547*j**4 + 119130*j**2 + 805*j wrt j?\nAnswer: -991333128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1130736.\nAnswer: 2, 3, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 9*w**2 - 4*w + 4. Suppose f - 2 = 0, 5*y - 4*f - 12 = 20. What is g(y)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 204.9 - 5.9. Let t = 199.038 - d. Round t to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (k**3 - 9*k**3 + 0*k**3)*(2*k + 3*k - 4*k) + (3 - 3 + 2*k)*(0 + 0 - 2*k**3) as o*k**2 + t*k + c + a*k**3 + v*k**4 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4*-2184\nAnswer: 8736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2677.565 rounded to the nearest 10?\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 11*t**2 + 8*t - 19. Determine f(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 7823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 358415681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/(-3))\/((-1)\/(-9)). Suppose 0 = 4*k + 3 - n. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -x**5\/60 - 11*x**4\/24 - 3*x**3\/2 + 3*x**2. What is the remainder when 2 is divided by t(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 82.7119 and 73.\nAnswer: 155.7119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -265*j**4 + 2*j - 6 wrt j.\nAnswer: -3180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/2 - -3) + (-5)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1421)\/406)\/(7\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p**2 - 1584*p + 4. Determine o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 6 = -4*n, 11 = 3*c + 30*n - 26*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04618545 rounded to three decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 3*u - 17, -4*i + 5*u + 75 = 7. Suppose 9*c = 10*c - i. Let m(n) = 20*n - 17. Let w(g) = -7*g + 6. Suppose -6 = 2*d - 3*d. Give c*w(f) + d*m(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2135 and 1281.\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12\/9)\/(6\/9) - -1468. Suppose p = 12*a - 5*a. Suppose a = -5*h + 855. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 124\/315 + -6\/35. Which is the closest to 0?  (a) v  (b) -4  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/1*(-2)\/(-2). Solve 0 = -3*c - 2*h + 13, -b = -h - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11040 - -342?\nAnswer: -10365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -63*a - 830. What is the remainder when 204 is divided by b(-14)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20 or -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2626 - 2618. Solve -2*w + x + 2 = -u, 4*w = u + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -710, -2840, -6390, -11360, -17750, -25560?\nAnswer: -34790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwzwrzwrtrfzzf. What is prob of sequence fr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 330, 1320, 2970, 5280, 8250?\n\"Answer: 330*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86, 176, 266, 356, 446?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/15 + (-28)\/(-30)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/26 - (90342\/(-546) + 150)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**3*p**4 - 5*h**3*p**3 + 206*h**3*p + 361*h*p**4 - h*p**2 - p wrt p?\nAnswer: 48*h**3*p - 30*h**3 + 8664*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16.91 + 17.01. Let w be 2 + (512\/66)\/(-4). What is the third smallest value in w, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 51621228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -621323 (base 7) in base 6?\nAnswer: -2135235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(360)*-2 + sqrt(360) - sqrt(360))*5)\/(6*sqrt(81)))\/(sqrt(288)*-4 - sqrt(968)*-3).\nAnswer: -5*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/28626 and 59\/1794.\nAnswer: 658398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -92701 + 92705.7597. Round w to 2 decimal places.\nAnswer: 4.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2894039087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1237844 is divided by 309306.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 2*s - 19 = -29, -4*s - 8 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 1:11 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*u + 297 = -30*u - 408 - 247 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 15*p + 109. Suppose -2*g - s + 3 - 14 = 0, -g - 3*s = -2. Let x be v(g). Let a = 51 - 31. Calculate the greatest common divisor of x and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 67?  (a) -4  (b) -3\/2  (c) -4746  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2177, 2171, 2165, 2159, 2153?\n\"Answer: -6*a + 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 117 and 2547.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and -5823512.\nAnswer: -5823511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -126c9e4e?\nAnswer: 126c9e4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392*u - 3119 - 1241 = -48. Suppose -a - 15 = 2*a. Let y be -1*a*1 - 0. Solve 0 = 5*o - i + u, 0 = 5*o - y*i - 0*i - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - 1. Let g be 38\/(-14) + o\/(-1). Which is the closest to 2?  (a) -5  (b) g  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 492049 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-18)*-11 + (-76)\/(-456).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0489 + -0.0189. Which is the second biggest value?  (a) -1\/7  (b) -1\/10  (c) o  (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 2*h**2 + (2 + 2 - 3)*(0*h + 0*h - 2*h**2)*(-132 - 85 + 455) to the form w*h**2 + q*h + z and give w.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*f + 565 + 3*f - 563 - 5*f - 22*f**5 wrt f.\nAnswer: -440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (3 + (4 - 3) - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 590659639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**3 - 2*k**2 - 84*k = 0.\nAnswer: -6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-15)\/90 - ((-637068)\/72 - -9).\nAnswer: 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-3*sqrt(931).\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*i - 777 = -21*i. Let t = i + 107. Sort t, -6, -2\/7 in decreasing order.\nAnswer: -2\/7, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16615 + 12695 = -245*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -676, -1, 93\/709, 0.3 in decreasing order.\nAnswer: 0.3, 93\/709, -1, -676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 5, 1\/6, -1, -1\/17, -20\/9, -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 771913446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136582180 divided by -29122.\nAnswer: -4690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113579064?\nAnswer: 2, 3, 421, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(-18) + (-2)\/(-9). Let o = 0.1 - -0.67. Let q = o + -0.77. Is q greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 4*c**2 - 2*c - 6. Suppose 0 = 2*r - 3 - 7. Suppose -3*w - 2*n = 10, 4*w + w = r*n - 25. What is p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -11*p**2 + p + 5*p**2 - 4 + 7*p**2. Let v be k(-3). Let j(z) = z**2 + 4 + z - z**2 - 3*z - z**v. Determine j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 5 - 1)*(-3*n + 5*n - 3*n + (1 + 0 - 2)*(-2 - 6*n + 2)) to the form c*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i + 6. Let b be (-2)\/8 - (28\/16 - -1). Let f be d(b). Solve f*c**3 + 1\/2*c**4 - 4*c - 3\/2 - 3*c**2 = 0 for c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -2*r + 20. Suppose r*g - 5*g = -3. Suppose -u + g = 1. Solve -u*h + 4*j - 4 - 12 = 0, 5*h + 7 = -j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 144, 8, 4 in ascending order.\nAnswer: 4, 8, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 56 = -8*l, -852 = 3*r + 13*l - 780 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-513)\/(-114))\/(3\/2). Suppose -25*f - 5*l - 18 = -24*f, s*f = -3*l - 6. Solve -2*q + 2 = -f, -5*z - 5*q = -25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzzbzbpzxppziob. Give prob of picking 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -63*o**3 + 2*o + 1. Let z = -20 + 19. Let i be x(z). Let n = -15 + i. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 4*x = -20, 3*x - 25 = -w + 8*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**5\/20 - p**4\/4 + p**3\/2 + 2*p**2 - 5*p. What are the prime factors of k(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*d + 8 = 74*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 7*n**2 - n - 1. Let b be u(-7). Let g = 15 + -11. Solve 0*k + g*k + r = 1, 2*r - b = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t**5\/8 - 3*t**4\/8 + 3*t**3\/8 + 3*t**2\/8 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u + 3. Let q(a) = 11 - 25 + 2*a + 17. Let c(o) = -o**3 + 6*o**2 - 7*o + 5. Let v be c(5). Let f(d) = v*r(d) + 6*q(d). What is f(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -897 + 0.16?\nAnswer: -896.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eiil when four letters picked without replacement from {e: 3, f: 7, l: 7, i: 2}.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -3, 723, -0.1, 4\/3.\nAnswer: -3, -2, -0.1, 0, 4\/3, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -104462967*n + 140946944 with respect to n.\nAnswer: -104462967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.8302 - 0.1698. What is the third biggest value in 2\/11, 0.1, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.01 and 0.961.\nAnswer: 0.00961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 62935 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43742.87 milligrams to micrograms.\nAnswer: 43742870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -995*c - 2982. What is the units digit of z(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -2, -291, 5, -5, -16 in decreasing order.\nAnswer: 5, -2, -5, -9, -16, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(1053) + 1.\nAnswer: -1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 - 2*u + 1. Let w(j) = 1. Let o(z) = -3*w(z) + y(z). Let i(f) = -f**2 - f - 2. Let l(n) = -3*i(n) + 4*o(n). Determine l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 140 + -138. Factor -46*a**2 + 15*a**2 - 297*a - 243 - 26*a**z - 3*a**3.\nAnswer: -3*(a + 1)*(a + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*o = -10*o + 273. Let m(n) = -n**2 + 5*n + 8. Let z be m(6). Let c be ((-2)\/(-3))\/(6\/(-54)). Sort c, 4, z, o.\nAnswer: c, z, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -1516\/13, -1\/6, -1.\nAnswer: -1516\/13, -4, -3, -1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/107 and -103\/2238.\nAnswer: 239466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from 3836805.\nAnswer: 3836805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12687*f**2 - 5256*f**2 - 20504*f**2.\nAnswer: -38447*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 - 52. Let o = 1 - 3. Which is the third smallest value?  (a) 4  (b) f  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4551811.06 + 4551760.05999958. Let q = -51 - b. What is q rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12355386815 + 169713593368121\/13736. Let m = r + -2\/1717. What is the common denominator of m and -85\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t + 10*t + 2*t + 4*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1740623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*f = -248. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/(-134))\/((-5)\/(-15)))\/(369\/(-123))?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1108*t + c = -1116*t - 23, -4*c = -4*t + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 265 = -5*b + 2*g, -20 = -4*g. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1546*n + 20 - 777*n - 735*n)*(0*n - 1 + n - 4*n) as f + w*n + q*n**2 and give q.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -278 - 32*r**2 + 278.\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 5*v**2 - 4*v + 3. Let m be y(4). Let r(j) = 1 - 4*j**2 + j**m - 5*j + j + 0*j. Let q(g) = -6*g**3 + g. Let u be q(-1). What is r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*k + 0)*(-36*k - 4796 + 4796).\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -351*m**5 + 9733*m**3*x + 15*m**2*x - 2*m**2 - 2*m*x + 11981*m - x - 1 wrt m?\nAnswer: -21060*m**2 + 58398*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**3 - 8*c**2 + 14*c - 17. Give v(5).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*h**2 - 4*h - 11*h**2 + 19*h**2 wrt h.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, s: 2, j: 2, i: 2, l: 1, v: 2}. What is prob of sequence vljv?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*g - 76 = 77. Let h(c) = c**3 - c**2 - c - 1. Let d(y) = -5*y**3 - 3*y**2 + 6*y + 23. Let v(m) = d(m) + 6*h(m). What is the units digit of v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*p + 19*p = -623 + 203 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 15 - -1731fa?\nAnswer: 17320f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*b**3*g**5 - 177*b**3*g**2 + 7*g**5 - 3*g**2 wrt g?\nAnswer: 360*b**3*g**2 + 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 0)*((-1 + 1 + j)*(4*j**3 + 2*j**3 - 5*j**3) + 3 + 2*j**4 - 3).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + 550*f. Let j(l) = -91*l - 1. Calculate z(j(v)).\nAnswer: 8281*v**2 - 49868*v - 549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8165189?\nAnswer: 563, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m = -0 - 30. Let r be 5\/6 - m\/(-30). Factor 1\/3 - r*p**2 - 1\/3*p.\nAnswer: -(p + 1)*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)*-2*2*5 + (-2*sqrt(252) - sqrt(252)) + 3 + sqrt(252) + -4)*4)**2 + 4 + 2.\nAnswer: 4224*sqrt(7) + 1951510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/10434 and 59\/888.\nAnswer: 41736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -3*g**5 - 216*g**4 - 3501*g**3 + 45192*g**2 + 1064448*g - 1105920 = 0.\nAnswer: -32, -24, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 10:28 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of a**7\/7 - 7*a**3\/3 + 57*a**2\/2 + 20*a + 1. Let x(n) be the first derivative of p(n). Differentiate x(j) with respect to j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -14*m**3 + 210*m**2 + 2*m - 22. What is d(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 35*p + 605. Give x(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*s + 6 = 27*s + 3*f, -3*s = -4*f + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 516736118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*q**4 + 253*q**3 + 0 - 25*q - 35*q**4 + 0 - 251*q**3 - 1 to the form c*q + u*q**2 + r*q**3 + g + j*q**4 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 PM and 2:16 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*a**2*l*s - 26*a**2*l - 95*a**2*s - 5*l wrt s?\nAnswer: 2*a**2*l - 95*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 58.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2321 - -3?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from befboobefeebobb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9, k: 1, i: 1, u: 1}. What is prob of sequence bbbk?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68 + (-19 - -10 - 2 - -29)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25324, 0.4, -0.34, -2\/15.\nAnswer: -0.34, -2\/15, 0.4, 25324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 297664737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 84 + -60. Let c(i) = -i**3 - 4*i**2 + 2*i - 2. Calculate the remainder when k is divided by c(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*k**2 + 0*k + 2*k - 2*k.\nAnswer: -125*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3*s**2 + 408*s. Let y(o) = -o. Give w(y(h)).\nAnswer: 3*h**2 - 408*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -113 + 123. Let x(q) = q**3 - 6*q**2 + q - 2. Calculate the lowest common multiple of x(6) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 9371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -9. Let r(m) = 2*m**2 + 2*m. Let f be r(h). Suppose 111 = 3*k - 4*z, 5*k - 207 = f*z - 22. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(2352) + 0 + -5 - 6*sqrt(30)\/(sqrt(80)\/sqrt(32))).\nAnswer: -25 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - 290\/25)*5. Let z = u - -71. Determine o so that -10*o - 2*o**3 - 2*o**z + 0*o - 6*o - 20*o**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of -3*u**4\/4 - 3*u**2. Let f(l) be the third derivative of 0 + 0*l**3 + 0*l - 1\/30*l**5 - 6*l**2 + 0*l**4. Calculate k(f(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 14. Let m(o) = o**2 - 5 + 5 + o**f. Let c(q) = 6*q. Calculate c(m(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 15 = 5. Suppose 5 = 5*y - 5*b, 4*y - 19 = -b - x. Suppose 2 = m - y*m. Which is bigger: 2\/7 or m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -161*t. Let k(g) = -g**2. What is k(r(a))?\nAnswer: -25921*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*q = 224, -2*q = 2*r - q - 142. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41468?\nAnswer: 2, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 643 * -2263.\nAnswer: -1455109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/5*(-5)\/2. Solve -g + 3 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 3:02 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1093 + 1092.3. What is the closest to -3\/32 in 4, 5, -4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.19 times 0.14\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 3*h + 16 - 88, 0 = -2*g - h + 159. Let v be 4\/18 + (-18)\/g. Suppose 4 = 2*y - v*y. Solve -l + 4*k - 6 = 4*l, -10 = 4*l + y*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14249 + 14420. Calculate the highest common factor of a and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w - 521 = -3*z + 16*w, -155 = -z + 3*w. Calculate the greatest common divisor of z and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(891) - 3*sqrt(891)*4).\nAnswer: 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -409*d - 2551. Is y(-158) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 + (-18 - -65) + -89?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 14*o = -9*o + 36, -5*p - o + 50 = 0. What is the highest common factor of 374 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ohhhuhfhh. Give prob of picking 1 u and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -68 + 74. Let l(u) be the third derivative of 0*u**3 + 1\/300*u**n + 1\/60*u**4 + 0*u + 1\/75*u**5 - u**2 + 0. Factor l(c).\nAnswer: 2*c*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-9)*(-2 - -8). What is the common denominator of -1 - z - (-140)\/(-6) and 9\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -171.433807 rounded to 1 decimal place?\nAnswer: -171.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x**3 - x**2 - 2*x - 3. Determine t(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2199 + -2167. What is the remainder when 159 is divided by r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5265.67 + -5303. What is q rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cxcc when four letters picked without replacement from ccccqqxcqqxqc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 674 and -0.182.\nAnswer: -122.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 63*u**2 + 8*u + 3. Let q be o(7). Let s = 8009 - q. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, j: 2, n: 1}. What is prob of sequence fn?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*g**4 - 26754540*g**3 + 35790029738910*g**2 + 644227036668180*g + 2899031417069445 = 0. What is g?\nAnswer: -9, 2675463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14894.0144 + -14905. Let d = 0.0144 - a. What is the third smallest value in d, -8, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -41.01606344.\nAnswer: -41.51606344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*m + 27 = 3*s, s - 1 = m. Suppose -g - 10 = -4*y - 0, 0 = 2*y - 3*g - 10. Let j(k) = -3*k + 4*k - k**y + 0*k. Calculate j(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (46 - 91) + 13 + 33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 51*o + 225. Determine m(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20501489 or 20501490?\nAnswer: 20501489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/10 + 42\/70*48. Let q(y) be the first derivative of -s*y**2 - 40*y + 150*y**3 + 14 + 875\/4*y**4. What is l in q(l) = 0?\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/18)*a**(-1\/8)*(a\/a**(6\/11))\/(a*a\/(a*a**2)))**32)**(3\/38) assuming a is positive.\nAnswer: a**(2194\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 3*d + 1. Calculate z(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 880214 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: Simplify ((m**(-1))**10\/((m*m*m**(-3\/5))\/m*m**3))\/((m**(1\/4)*(m\/m**(-1))\/m)\/(m**(-1\/3))**(-39)) assuming m is positive.\nAnswer: m**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - 30 - (-11 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54441 - 76078 + 33938 = 2997*c + 59263 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(3621\/(-204))\/((-4)\/8).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/110 and -37\/1045.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - 2*d**2 - 3*d. Let l be h(-2). Let m = l + 6. Let o(i) = -2*i - 3. Let n be o(m). Solve -3*u - n*w + w - 19 = 0, -5*u + 3 = -2*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 11*j**2 + 15*j - 4. Determine c(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3990266 and 2107?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -245, -2, 4, 886 in descending order.\nAnswer: 886, 4, -2, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 0*x. Suppose x = 5*s + k - 327, 0 = 2*s + 2*s - 2*k - 270. What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25591.\nAnswer: 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 648930.1 micrograms?\nAnswer: 0.0000006489301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 111212 (base 4) to base 16\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 58, 7384 in decreasing order.\nAnswer: 7384, 58, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 612\/5 + (-18)\/45. Suppose a - 157 = -5*y, -2*y + 6*y = -2*a + x. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 470511296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3332 + -312?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5989*q**2 + 2379*q**2 + 7190*q**2 - 2 - 5*q.\nAnswer: 15558*q**2 - 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 259, 0.07, 0, 6, 4 in descending order.\nAnswer: 259, 6, 4, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103185 + 13479 = 24*w. List the prime factors of w.\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 - -48. What is the smallest common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 162*n**3\/17 + 15030*n**2\/17 - 2000*n + 19000\/17.\nAnswer: 2*(n + 95)*(9*n - 10)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(-9740)\/(-33360)*(2 + -8) + -14?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 4*i**2 - 5 + i + 2 as o + b*i**2 + w*i and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*o + 3*z - 3343, -4*o - 3308 = 4*z. Suppose n + 31 = -5*y + 5*n, -10 = 2*y - n. Is y\/(-5) + o\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(176)*1*-4.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**2 + 5*q - 1. Let h be i(4). Let v(w) = 2*w**2 + 17*w - 24. Let f be v(-11). Let x = f - h. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -5*j + 72, 0 = 5*j - 0*v + 2*v - 77. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*r + 16 = 0, -3*k = -2*k - 3*r - 13. Suppose 3*b + 4*g - 342 = 0, k*b - 3*g - 428 = 3. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 + 23*x - 4. Let h be j(20). Suppose p - 3*p = h. Is 5 a factor of ((-3)\/(6\/p))\/(100\/250)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 28653 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - -102?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a. Let w(l) = -181512*l. What is s(w(m))?\nAnswer: -363024*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**4\/11 + 134*x**3\/11 + 5494*x**2\/11 - 450870*x\/11 + 376884 = 0.\nAnswer: -58, 11, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 7)*(-8 + 5*b + 8)*(-36 + 36 + 49*b**2).\nAnswer: -1225*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 49*h**2 + 59*h - 525. Determine v(48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/5 + 1506*f\/5 + 1508\/5.\nAnswer: -2*(f - 754)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 3 - (-14 + 3 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 200 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -257*f + 254*f. Suppose 42 = b + 5*s, -2*b = -3*s - 0*s - 32. Let n = b + f. What is the highest common factor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*h + 140*h + 142*h.\nAnswer: 317*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*a**3 - 3*a**3 + a**3 + (-a + 4*a + 0*a)*(a**2 + 0*a + 0*a) to the form t*a**2 + i*a + y*a**3 + n and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 479?\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = s, s = -5*c + 4*c + 68. Let u = c + -196. Let y = -63 - u. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -5*r - 36, r = -2*r - 6. Find the third derivative of 2*f**2 - 7*f**2 + p*f**4 - 10*f**4 wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, t: 1, j: 1, k: 1, g: 4}. Give prob of picking 1 j, 1 l, and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 853\/10 - 173\/2. Let a = 13\/15 + o. Sort 2, a, -11 in descending order.\nAnswer: 2, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*k + 101073 = -280615 - 777976. What is the remainder when k is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 34128 and 8532.\nAnswer: 34128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -64*o + 5 - 305*o - 14 + 9 in the form d + p*o and give p.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p**2\/4 - 188*p + 1191 = 0. What is p?\nAnswer: -794\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -38?  (a) -22  (b) -3  (c) 0.2  (d) -2\/15  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 737100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/4)*c**(-5)*c**(1\/5)\/c*c*c\/(c**(-2\/11)*c)*((c\/(c*c**(-1\/4))*c)\/c**7)**(-35) assuming c is positive.\nAnswer: c**(21657\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2\/7 - 72*a\/7 + 324\/7.\nAnswer: 4*(a - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 6*m**2 - 7*m. Let p be k(-5). Let y = p + -9. Solve 4 - y = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*u**2 + 8441266*u + 3376508.\nAnswer: -2*(u - 844127)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -z - z. Suppose 3*j - 14 = -2*a, 0*j = -3*a - 4*j + 19. Suppose 26 - a = 5*s. Solve -s*g = 1 - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27.52 + 0.52. Let d = 175.8 - 143. Let h = l + d. What is h rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2685 divided by 537?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of -x**6\/120 - 7*x**5\/15 - 31*x**4\/24 - 11*x**3\/3 - x**2 + 31. Is g(-27) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**3 + 15*j**2 - 3*j - 28. Let r be h(7). Solve r = -13*l + 15*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**3 + 3457168314 - 3457168314.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 66 + 14853438?\nAnswer: 14853504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 5*x - 15 = 0, 0*b - b + 2*x - 6 = 0. Solve b = 2*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (215\/(-30) + (-9 + 7 - -5)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 106.98 + -107. Let m = 18.1 + -18.1231. Let a = h - m. What is a rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -7*q + q - 19 + 14 + 11. Let w(u) = -5*u + 5. Give 7*w(l) - 6*z(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 14 + 38. Suppose 0 = 3*x - 44 - 112. Let t = q + x. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3764 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -446 - -1213. What are the prime factors of y?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 3*c**2 - 55*c + 8. Let u be p(6). Suppose 1216 = q + y - 177, -u*q + y + 2798 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -70016436 less than or equal to -70016437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 607*q - 607*q - 1. Let l(k) = 3*k**4 - 6*k**2 + 8*k + 6. Let a(j) = 6*f(j) + l(j). What is the second derivative of a(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 minus 593475?\nAnswer: -593539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 2. Suppose s*q = q + 1. Is (-40)\/(q - 0) + -1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2323\/6 - 386. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/192*-2 + (-4)\/(-8))\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1879274509 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 788837 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 16*r**2 + 3*r + 53. Let z be s(-16). Let t(o) = o**3 + 11*o**2 - 5*o - 5. Let v(y) = 2*y**3 + 17*y**2 - 8*y - 8. What is z*v(a) - 8*t(a)?\nAnswer: 2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1148 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18509 divided by -2125.\nAnswer: -18509\/2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/4300 and 3\/421400.\nAnswer: 421400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 75 in 1505.4, 6\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of 0*y**2 + 12 - 20\/3*y**3 + 6*y**4 - 36\/25*y**5 + 16\/5*y. Determine o so that v(o) = 0.\nAnswer: -1\/3, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q. Let b be 0\/(-2 - (0 - 5)). Let i(z) be the third derivative of -2*z**2 + b*z**3 + 0*z**4 + 0*z + 0 - 1\/30*z**5. Give i(s(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + -7 + 0 + (-7 - (-13 - -7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 5*l - 0*l. Suppose -s + l = 3*s. Suppose -t = t + 3*u + 860006, -s*u = 6. Round t to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9295\/41949 - 3\/4661. Which is the second smallest value?  (a) 0.4  (b) i  (c) -0.4  (d) 5  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*m + 16 + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 18*q - 180.\nAnswer: 2*(q - 15)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -8. Let t = -82 + 126. Suppose 0*p + 136 = v*k - 4*p, -k + 2*p + t = 0. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + q - 3)*(4 - 1 - 5) - 2*q + 18*q + q)*(-121 + 341 - 100)*(0 + 1 + 1).\nAnswer: 3600*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - -1. Suppose s - 30 = -4*k + k, -k + m = 2*s. List the prime factors of k\/((1 + -2)\/(-1)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 1359651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 294 - 142 - 152 + 2532*h to l*h + z and give l.\nAnswer: 2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w, 3*k + k = 5*w - 4. Let n = 18149\/12 - 1514. What is the common denominator of k\/4*274\/3 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -22. Which is the third smallest value?  (a) v  (b) -0.3  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*x, 3*i - 5*x + 4*x - 16 = 0. Suppose -a - 6 = -4*a. Let c(o) = o**2 + a*o - 3*o - 4*o. Calculate c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6554418.46 * 0.5\nAnswer: -3277209.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 1 + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4e43 - -5?\nAnswer: 4e48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4680 and 1508?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -7*p - p**2 - 44 + 25 - 3*p. Let u be z(-9). Let k be 12\/(-30) - 24\/u. Solve -4*f = -k*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*i**3*k - 8*i**3 + 2*i**2*k - 4*i*k + 18*i wrt i?\nAnswer: 30*i*k - 48*i + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**2 + 4*a - 7. Let y be g(5). Let q = 110 + y. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -4*s - 5*b + 73, 3*b = -30*s + 140 + 10 + 345 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 160589\/1083348 + 45\/5732. What is the common denominator of 127\/594 and k?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 2*z - 1. Let b be l(6). Suppose 5*k - 6 = 9. Suppose k*n = 4*q + b, 4*q + 8 = 2*n + 6*q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4506 divide 302749128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 105*y + 225. Let o be t(-10). Which is smaller: -824 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13575*q + 7122*q - 7591*q)*(1 - q - 1)*(0*q - 4*q + 3*q) in the form c*q**2 + x*q**3 + h + w*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (30\/4)\/(-5) + 1. Which is the nearest to y?  (a) -1\/8  (b) 0  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1418945 is divided by 30190.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 4 - (5 - 4)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8511\/2 + -170157\/40. Let v be -31 + 26 - (-2167)\/304. Let o = -9\/152 - v. Find the common denominator of o and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, z: 1, b: 4, r: 1, v: 4, y: 6}. Give prob of picking 1 v and 2 y.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxrxrrxxxrxxxxhrxrx?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 571, 1144, 1717, 2290, 2863, 3436?\nAnswer: 4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 71b19 (base 12) to base 8\nAnswer: 442005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/2 + -1)*((-1862)\/(-35))\/7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-8)\/6)\/((-2)\/(-33)). Suppose 0 = -3*a + d + 6, -14 = -2*a - d - 5. Is 3 a factor of 0 + a - g\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 965 divide 179105930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 i when four letters picked without replacement from {i: 13, h: 6}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o - 95. Give t(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 4*u + 1. Let i be (-16)\/(-4)*162\/216. Determine d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-5\/4)\/q*q\/(q\/q**4)*q*(q\/(q**(-1\/12)\/q))\/(q*q*q**(-14)) assuming q is positive.\nAnswer: q**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/5 - 623668*r**2\/5 - 9730527258*r - 1010626166160.\nAnswer: -2*(r + 104)*(r + 155865)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = 2. Let p(l) = -l**3 - 3*l**2 + l - 2. Let b be p(u). Sort b, 1, 3.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/4)\/(-2)*(-2)\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3*o**2 - 53*o + 145. Let q be v(-20). Sort q, -15, -2, -1, -5 in descending order.\nAnswer: q, -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 261885671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-13776)\/5166*(-2)\/4. Suppose 0*t + 0*t**3 - 20\/3*t**2 + w*t**4 + 16\/3 = 0. What is t?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1454.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 4\/3  (b) 0.4  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45 + 6 + 1 + 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37186 times 141?\nAnswer: 5243226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 51056.01 milligrams in tonnes?\nAnswer: 0.00005105601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -889*a + 12328. Determine c(14).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.5, -3, 13925?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 5\/6  (c) 2\/11  (d) 3\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1263 is divided by 1176?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 + l - 3. Let o be k(-2). Is (o + 0)\/(266148\/(-33268) - -8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1\/12 - -29\/60. Let r = 0.0375 - 3.0475. Let h = r - -0.01. Which is the nearest to -2\/7?  (a) h  (b) 2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-132)\/60 + 2 - 158\/(-5)*167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 418, -2 in ascending order.\nAnswer: -2, 4, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 212102121100 (base 3) to base 2\nAnswer: 1110000100101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 25*g**4\/4 + 1205*g**3\/4 - 1113*g**2\/2 + 299*g - 50 = 0.\nAnswer: -50, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 82710 and 12.\nAnswer: 165420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g**3 - 3*g**2 - 5*g + 13. Let y(q) = q**3 + q**2 - q + 2. What is o(r) - 5*y(r)?\nAnswer: -2*r**3 - 8*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + 9. Let z = b + -18. What is the biggest value in -0.4, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 566868521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.2 + 3. Let b = d - 0.3. Let s = -6.6 + 1.6. Sort s, b, -4 in increasing order.\nAnswer: s, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4453\/8 - 396385\/712. Do t and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11490 is divided by 1914.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 4*c - 12. Let f = 34 - 29. Let y be u(f). Which is smaller: -16 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -n**5\/120 - n**4\/24 - 11*n**3\/6 - 11*n**2. Let p(r) be the first derivative of t(r). What is p(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9235*c**3 - 75*c + 4.\nAnswer: -55410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6277\/16 in 13, 0, 2\/7, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25341*k = 3030*k - 22870*k + 6460883 for k.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 - 16556?\nAnswer: -16546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -33, 4612, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -117694 greater than -118097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 50584 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 26*k + 125. Calculate q(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.02238 and 4.\nAnswer: 4.02238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*o - 186 = -10*o. Factor 0 + 8\/7*v + 2\/7*v**o - 8\/7*v**2.\nAnswer: 2*v*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -81\/4 or 2\/77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 679050 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/4)\/(3\/(-18)). Find the third derivative of -3*r**3 + 0*r**3 + 20*r**5 - 24*r**2 + 2*r**c + 0*r**3 wrt r.\nAnswer: 1200*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49789697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*8727.\nAnswer: -130905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -3. Suppose -g + 6 = s, 4*s = s - b*g + 15. Let p = 17 - 2. Solve s*a = q - 10, -2*q + 3*q = -2*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**27)\/g)\/g**2)**(-2\/9) assuming g is positive.\nAnswer: g**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 6\/7*s**2 + 4\/7*s + 2\/7*s**3 = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127 + 1046 = 51*z. Solve 2*b - z = -27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from hqhqqqqqqhh.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -42456920, -42456918, -42456916, -42456914, -42456912?\n\"Answer: 2*p - 42456922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 365599 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -105*z + 82*z - 207 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 15*d - 1. Let t(q) = 5*q. Let v(h) = -2*n(h) + 7*t(h). Let s(p) = p**3 + 7*p**2 + 2. Let k be s(-7). Let w(b) = 5*b + 3. Give k*w(i) - 3*v(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 6) in base 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 2*y**2 - 10. Let z(q) = -19 + 3*q**3 - 33*q - 5*q**2 + 33*q. Let d(i) = -5*j(i) + 2*z(i). Find the first derivative of d(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from xesyenxyp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*u - 8501 = 8962. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g*g*g**5*g))**(4\/21)\/((g**(-1\/36)*g)\/(g*g**(-30\/7))) assuming g is positive.\nAnswer: g**(-215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 11 + 7)*(p - 3*p - 4*p) + 4*p + 9*p + 0*p.\nAnswer: -65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/6)\/(i\/(i\/i**(-1\/4)))*(i*i**(1\/3))**(-1\/8))\/(((i\/(i*i\/((i*i**(3\/2))\/i)))\/i**(-2))\/(i**4\/i*i**6*i)) assuming i is positive.\nAnswer: i**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q - 5*q + 7*q + 8*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in 1\/129, -10\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*g + 35*g + 10*g = 60*g - 4876 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15880 (base 9) in base 8?\nAnswer: -25256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -331, -1987, -4967, -9271, -14899?\n\"Answer: -662*x**2 + 330*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 3 - ((-81)\/(-9) + -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3597, 7193, 10789, 14385?\n\"Answer: 3596*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -73\/4*p**2 + 3\/2 + 21\/2*p**3 - 25\/4*p.\nAnswer: (p - 2)*(6*p - 1)*(7*p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -11*t + 48. Let p be u(14). Let m = p + 115. Suppose 2*k + 4*d - 2*d - 8 = 0, -3*k = -d - 20. What is the least common multiple of m and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114585212.\nAnswer: 2, 7, 353, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 equal to -0.1659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5  (b) -31  (c) -1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of -5*n**8\/336 - n**7\/42 + n**6\/4 - n**5\/6 - 25*n**4\/24 + 5*n**3\/2 + 4*n**2 + 4*n. What is h in j(h) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -14.02. Let t = j - 4.02. Let g be (-6)\/(-15) - (-26)\/(-40). Which is the nearest to t?  (a) 0  (b) 2\/7  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -4*u**2 - 5*u - 5. Let w(r) = -r - 6. Let l be w(-7). Let y(s) = s**2 + s + 1. Let z(j) = l*f(j) + 5*y(j). Let c(q) = q. What is z(c(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 61081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1036 in 0.3, 4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*t + 9*t - 24*t + 8*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.11282 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/1 + 1 + -1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2214084 divided by -553521\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010569380483 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + 0*w - 5*w)*(-3*w + w + 4*w) + (-w + 0 + 0)*(-8*w - 11*w - w).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 + 5*m - 2. Let b be s(3). Suppose -b*p + 3 = 4*w - 1, 3 = 3*w + 2*p. Let g(k) = 15*k**3 - k**2 + k - 1. Is 11 a factor of g(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 6*t**2 + t. Let r be p(-1). Suppose r*b = -20 - 0. Is (-369)\/(-7) + b\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -625660*-0.07\nAnswer: 43796.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.15 and -36?\nAnswer: 35.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 643439250 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 3*y - 21, 2*x = 8 - 0. Suppose 754 = 547*w - 340. Solve -d = -2*z - 2, w*z - 7*z = -2*d + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (4 + -11) - (-4 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 4*i**2 - 2*i + 2. Let p be c(3). Suppose 5*m = 5*u + p, -u = 5*m - 19 + 2. Calculate the common denominator of 10\/3 and (u\/4)\/((-3)\/225).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/7 + 166*z**2\/7 - 4240*z\/7 + 34400\/7.\nAnswer: -2*(z - 43)*(z - 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 4*j - 392 = -192, 0 = t + 2*j - 56. What is the remainder when 312 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20536 = -40*c + 6*c - 0*c. Does 87 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -c**4\/2 - 2*c**3 + 2*c**2 + 12*c - 45. Let h be u(-3). Which is bigger: h or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15\/4  (b) -1\/5  (c) 2\/11  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5f96 + -8f?\nAnswer: -6025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/5  (b) -7  (c) -0.3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -47 - -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(114) + (sqrt(114) - 1*sqrt(114) - sqrt(114) - sqrt(114)) + sqrt(114)))\/((sqrt(1470) + sqrt(30) + sqrt(30))\/sqrt(5))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v = 2*u - 6, -v - 3*u + 1 = 0. Suppose -5*j + 9*j - 2*g = 204, -3*g - 204 = -v*j. Which is greater: j or 50?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -2. Let h be i\/(-2)*(-4)\/(-3). Sort h, -5\/2, 2\/9 in ascending order.\nAnswer: h, -5\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 1\/8, 1011?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*m + 24 = 119*g - 115*g, -m = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 60062623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/5 - 109044*k\/5 - 109042\/5.\nAnswer: -2*(k + 1)*(k + 54521)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 201*g**3 - 240*g**3 - g**2 + g**2 - 8*g + 8*g + 34*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30589432739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 670890 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/266 and -41\/270199.\nAnswer: 3782786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -234197, -234191, -234175, -234143, -234089, -234007, -233891?\nAnswer: -233735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*s - s + 4*s)*(s - 2*s + 4*s)*(-8 - 4 + 8) to o + p*s**2 + f*s and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - -6. Let c = q + 10. Suppose -3*f + 6 = -0. What is the smallest common multiple of f and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -277458?\nAnswer: -277458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 3*k = -0*r + 6, -4*r + 4*k - 20 = 0. Let w be 12\/(-27)*r*414\/(-12). Which is bigger: w or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 + -59. List the prime factors of w*(2 + -6 - 108).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169 + 37 = -22*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/583 - -9917\/3498. Put -0.3, s, -8 in decreasing order.\nAnswer: s, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24177304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + o + 11 = 2*o, 6 = -2*l - 3*o. Let j(y) = -25*y**l + 15 + 24*y**3 + 12*y + y - 11*y**2. What is the units digit of j(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, s: 6, a: 2}. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/67519?  (a) 2\/3  (b) -3  (c) 3.7  (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1452 and 444?\nAnswer: 53724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81005 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5212*u + 677. Is w(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 + -36. Put 2\/7, c, 2\/3 in ascending order.\nAnswer: c, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304741991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -109907\/10 + 11001. What is the common denominator of -1 + (-519)\/(-66) - 2 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8640144 and 254736?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 356150857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 6*f + 9. Let p(d) = -3*d**2 + 5 + d**2 + 6*d + f + 3*d**2. List the prime factors of p(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -43  (b) -273  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69113 is divided by 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of 0 - 29\/60*j**5 + 3\/2*j**4 + 0*j**3 - 29*j**2 + 0*j. What is the second derivative of m(q) wrt q?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*(g*g**14)\/g))**20*(g**(-3\/8)\/g)\/(g*(g\/(g*g\/((g\/(g**(-3\/19)*g))\/g*g)))\/g) assuming g is positive.\nAnswer: g**(-42641\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 - 82 = 5*k. Let z be ((-234)\/(-189) - k\/(-7))*-3390. Round z to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11127 + -6293. Suppose 2071 = 5*x - b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -129.21 + 91.21. What is the smallest value in -1\/3, s, 2, 0.02, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 10}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 4:40 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - x + 21 = 0, -9*x - 136 = -5*u - 79 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -9*g**2. Let w(n) = -213752*n**2 + 2. What is w(q(t))?\nAnswer: -17313912*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/(-3)*14\/(-168)*54*(-1)\/(-1)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-52)\/(-3)*(78\/(-20800)*-250)\/((-5)\/(-24)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9238 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 8*b**2 - 52*b - 6. Suppose o = 5*z + 6, -44*o + 45*o + 3*z = 6. What is t(o)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 73 + -36 + -6 + -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + 10*u - 116. Let x be z(-17). Suppose -n = 2*o - 25, x - 39 = -2*n + 3*o. Calculate the least common multiple of 13 and n.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g\/(g\/g**47)*g\/g**(-24\/5) assuming g is positive.\nAnswer: g**(269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14337\/(-1739556))\/(3\/7).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, -2\/167, 0.4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 474 = 3*l + 398, -2*j = 3*l - 848. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3476054 is divided by 96?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/1644 and -61\/8?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -2*y + 26, -3 - 7 = -y - b. Let u = y - -8. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 54.02833 nanometers?\nAnswer: 0.05402833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8214 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2826 - -2959. Calculate the remainder when 551 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 135*q**3 + 2*q**2 - 6*q - 238. Let h(m) = -m**3 - m**2 + 3*m. Let t(u) = d(u) + 2*h(u). What is the derivative of t(v) wrt v?\nAnswer: 399*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -1\/6, -1.9, -4, 2\/35, -155, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 1, v: 7, i: 3, p: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + z**2. Calculate x(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84416 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 14174*r*w + 97*r + 87*w - 185 wrt w.\nAnswer: 14174*r + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 6) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/10*90\/(-36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-3\/2)*m*m**(-7)*m*(m\/m**2)**(1\/4) assuming m is positive.\nAnswer: m**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2900 + 1478. Let v be -2008 + (2 + -8 + -4)\/(-2). Let a = r - v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/8625 and 109\/78.\nAnswer: 224250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 12 = -18*g + 23*g, 5*h + 2*g = 5*g - 23 + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*g - 1407760 = -1406626 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.3 + 5.2999705. Round i to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 5*y - 125 = 0, 0 = -3*i - 12*y + 14*y + 60. Let u = -243 - -408. Calculate the highest common factor of u and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 30 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*y - 2*x = -57*y, 4*y + 26 = x. Let m(g) = g**3 + g + 5. Let a be m(0). Suppose -z = -a - 4. Put -1, y, z, 2 in decreasing order.\nAnswer: z, 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/4)*v)\/((v*v**(-2\/9))\/v))\/((v*v\/v**1*v*v)\/v*v**6) assuming v is positive.\nAnswer: v**(-253\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 18*q**2 + 50*q - 1581. What is l(-11)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -32*b**2. Let w(l) = -2*l + 12. Let t(x) = 20*x - 136. Let d(j) = -6*t(j) - 68*w(j). Determine d(c(r)).\nAnswer: -512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*v - 2 = 5*x, -8 = 4*x + 4*v. Suppose 9 = -x*z + 25. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 4*z + 4*z)*(1 - 1 - z**2) + (-z - 4*z + 6*z)*(4*z**2 - z**2 + 12*z**2).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -149*h**4 + 9*h**2 - 1922*h**3 - 639*h - 17*h**2 + 10*h**2 + 1930*h**3 wrt h.\nAnswer: -1788*h**2 + 48*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000445241 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -1. Let p be 70\/8 - (-3)\/(-4). Suppose -9*b + 51 = p*b. Solve -15 = -3*l, -x*s - b*l = 2*l - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*h**3 - 1276*h**2 + 4096*h - 2736 = 0. What is h?\nAnswer: -18, 1, 38\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8828?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*t**2 + 4*t**2 - 2*t**3 + (-57 - 46 + 57)*(3*t**3 + 0*t**3 - t**3) + 4*t**3 + 3*t**3 + 4*t**3 in the form m*t**2 + z + c*t + v*t**3 and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and (-3)\/(18\/2)*-24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314979 is divided by 13694?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -454980 or -454963?\nAnswer: -454963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**2 + 0*j**2 + j**2 + (3 - 3 - 4)*(1057 - 1057 + 42*j**2).\nAnswer: -167*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269929?\nAnswer: 11, 53, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-33))**(-49) assuming d is positive.\nAnswer: d**(-1666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x**2 + 31*x - 6. Let b be g(15). Let h be 5 + b\/(18\/452). Suppose 4*i + h = 847. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a - 4. Let p be n(6). Suppose -q + 3*z - z = -35, 136 = 4*q - 4*z. What is the remainder when q is divided by 35\/p + 1\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-3*sqrt(300) + -3 - sqrt(30)\/(sqrt(80)\/sqrt(8))*3)*-2 + -1)**2.\nAnswer: 1188*sqrt(3) + 13149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.21  (b) -2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 276448 (base 10) to base 9\nAnswer: 461184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54756 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: Let o(v) = v**2 + 15*v + 27. Let s be o(-11). Suppose 58 = -4*p - 5*n, 0 = -4*n + 5*n - 2. Is p >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000754708 to seven dps.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19235*o + 19235*o - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -76 - -92. Suppose 8*i - 24 = o. Suppose i*l = 2*l + 15. Solve -2*k - 1 = l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -22*i. What is the units digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l**3 - 197*l**2 + 96*l - 308. Give v(-99).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -196*i + 34*i**3 + 2*i**2 - 194*i - i**2 + 595*i - 204*i in the form s*i + r + p*i**3 + v*i**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-1))\/((-3)\/(288\/(-4))). Let g be (-3)\/2*((-16)\/q + -2). Suppose 0 = 5*d - 9*d + g. Which is smaller: d or 4\/67?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2082 - 2058 + 4*t**2 + 6194 - 6*t**2 - 2054.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 560 * 18\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3003143 (base 5) to base 15\nAnswer: -e033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1072695862 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -12*i**2 - 73*i - 319. What is r(-4)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4*g - 3. Let f(k) = k**2 + 10*k - 9. Let m be f(-7). Let h be 3\/(-18) - (-355)\/m. Let u be h\/(-6) + 1 + -5. Give q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 + 22*r + 28. Give p(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, v: 2, w: 1, l: 4, m: 1, f: 5}. What is prob of picking 1 l and 1 v?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -70 or 7588?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (622775\/20)\/(96\/768). Round y to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.26 - 0.01. Let c = n - 3.2247. What is c rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000265416 rounded to 7 dps?\nAnswer: 0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 4 and 0.630407 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7478 - 7448. Solve -w*u = 26 + 34 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 + t. Let m be a(1). Suppose 4*i - m*s = 195, -4*s = -11*i + 13*i - 114. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -641*l**7\/42 - 45*l**3 - 6*l - 3. Find the second derivative of g(c) wrt c.\nAnswer: -12820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -2 + (sqrt(2) + -3 + 3 - (-4 + -3*sqrt(2) - sqrt(2))) + 2.\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3577816 is divided by 20681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3606, 28774, 97082, 230100, 449398, 776546, 1233114, 1840672?\n\"Answer: 3595*d**3 + 3*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/w**(-2\/5))\/w**1*w**(5\/16))\/(w**(-5)*w**(-2\/15)*w**(-13\/7)) assuming w is positive.\nAnswer: w**(14621\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: -0.901*1.65\nAnswer: -1.48665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2. Let x(j) = 42*j - 49. Let o(q) = -q + 1. Let s(m) = -98*o(m) - 2*x(m). Calculate s(y(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -6334?\nAnswer: -6330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -124?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 65547.24um?\nAnswer: 65.54724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -130057140 rounded to the nearest one hundred thousand?\nAnswer: -130100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 9:08 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -261 + 301. Suppose 0 = -s*v + 10*v. Solve 3*w - r - 2 - 3 = v, 4*r = -5*w + 31 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 149, 6, 2\/31, 0.1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b**3 - 2*b**2 - 1386*b - 1342*b + 2729*b + 3*b**2 - 3*b**2 + 320 in the form z*b**3 + r + g*b + d*b**2 and give r.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18071856 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3 - 3 = 0. Suppose -o*g - 7 = -17. Let q(t) = -t**2 + 6*t + 2. What are the prime factors of q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304135484 < 304135486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2451 - 1437 = 34*s - 3174 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n + 20*n = -10. Let u(d) = -17*d**2 + 5*d + 3. Let f(r) = -18*r**2 + 4*r + 3. Let z(o) = n*f(o) + 4*u(o). Differentiate z(y) wrt y.\nAnswer: 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 129?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 668910*u**3 - 1 - 660849*u**3 + 1898927*u**3 + 0.\nAnswer: 1906988*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 561*v + 4493. Let u be d(-8). Solve 3*t - o + u = -t, 2*t + 1 = o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15\/248 + 169\/744. Suppose 2*l = 5*l. Let l + 1\/6*g**2 - p*g**4 + 1\/6*g**3 - 1\/6*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33835717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*t + 3 + 2*t + 7*t + (3*t - 2*t - 2*t)*(3 - 3 + 2).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9399049 kilometers to millimeters.\nAnswer: 939904.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 28a - -1?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2184143573?\nAnswer: 79, 27647387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 + 3*x**2 - 7*x**2 + (2*x + 2 - 2)*(-x + 0*x - 2*x))*(0 - 1 - 5*x**3 + 4*x**3).\nAnswer: 9*x**5 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -100*j - 3*j**2 + 2*j**2 - 259*j - 433*j to p + d*j + i*j**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (27\/18)\/(2 + (-235)\/116). Let t = 98 + x. Calculate the greatest common divisor of 200 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -7*w**3 - 179*w**2 + 140*w + 1490. Calculate b(-26).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 674, 0.2, -3, -134\/5, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 3, 100, -6 in decreasing order.\nAnswer: 100, 3, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 10 = 18*n. Let a be 2 - (-10)\/(-3 + n). Solve -3*t + 7 = 2*j, -5*t + j = -a*j - 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -1.53, 2\/19 in descending order.\nAnswer: 2\/3, 2\/19, -1.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-3))\/(1\/35991). Suppose 3*k - f = -a, -6*k + 35988 = a - 2*k. Round a to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5337 and -1.047.\nAnswer: 5587.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -78 * -0.4.\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 3 = r, 18*c + 6206 - 6227 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10242584 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 5, -11, -19 in increasing order.\nAnswer: -19, -11, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/198906 and -133\/1591248.\nAnswer: 1591248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j - 2. Let q be g(-4). Let a(m) = -6 - 7*m**2 + 6*m - 2*m - m**3 - q*m + 4*m. Let p be a(-8). Solve t - p = 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -13330, -13331, -13330, -13327, -13322?\n\"Answer: d**2 - 4*d - 13327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-11)\/(-12 + 23)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9821 + 9845. Let v(z) be the first derivative of -20\/3*z**3 - l + 0*z**2 - 25\/4*z**4 + 0*z. Find the third derivative of v(c) wrt c.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4 + 0.2. Let h be 26\/169 + (-36)\/65. What is the closest to 0.1 in h, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s - s**3 + 4*s**2 + s + 5 + 0*s**2. Let v = 1 - 1. Suppose v = 4*n + 1 - 17. Determine i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87839*l**3 - 124*l**2 - 99885760*l wrt l.\nAnswer: 527034*l - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*t**3 + 26*t**3 + 15*t**3 + (-3*t + 2*t + 3*t)*(-t**2 - 2*t**2 + 2*t**2) + t**3 - 2*t**3 - t**3 + 0*t**3 + 2*t**3 - 3*t**3.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -949, -1947, -3039, -4273, -5697, -7359?\n\"Answer: -8*p**3 + p**2 - 945*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 983*s - 486*s + 94*s**2 - 497*s.\nAnswer: 94*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i + 0*i - 34 + 3*i**3 - i**2 + 34 to p + o*i**3 + n*i + m*i**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {h: 6, q: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d + 177. Let m be f(-44). Let i(w) = 4*w + 20. Let y be i(m). Calculate the greatest common divisor of y and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.00335264 and 12.\nAnswer: -0.04023168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -75 - -94 - (-23 - (-117 + 23))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 314 (base 8) to base 5.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1650059 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9\/242 + -2455\/52998. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -393*b**2 + 755*b - 1868. Let g(r) = -214*r**2 + 377*r - 933. Let a(d) = -11*g(d) + 6*k(d). Differentiate a(u) with respect to u.\nAnswer: -8*u + 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 5723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**2 - 2*o + 3940000. Let b be s(0). What is b rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -89 and 0.31?\nAnswer: -27.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*h = 47, 8*o - 2*h + 34 = 10*o. Let m(t) = -t**3 + 6*t**2 - 4*t - 3. Calculate the remainder when m(4) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w*(w\/(w\/(w**(3\/8)\/w*w)))\/w*w*w)*w)\/(w*w\/((w\/(w**(-3)\/w))\/w)))**(-4))**(-16) assuming w is positive.\nAnswer: w**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 425399731 to the power of 1\/2, to the nearest integer?\nAnswer: 20625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 184080 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000200001181 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/14 + 498\/21. Let g = 3 - 1. Suppose -g*y = -y - p. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -94 + 86.9. Let q = r - -7.0967. Round q to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, c: 1, k: 4, v: 7}. What is prob of sequence cv?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/48*(-272)\/(-24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 861469657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 3*o + 10, -6*p + p + 2*o + 2 = 0. Solve 0 = p*g - g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(-11)\/b*b))\/(b\/((b*(b\/(b*b**9))\/b*b*b)\/b)*b*b))**(-47) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19805 - 7398. What are the prime factors of a?\nAnswer: 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-five quarters of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 137, 278, 419, 560, 701?\n\"Answer: 141*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5328737 to the power of 1\/2, to the nearest integer?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -523*n + 1895. Does 46 divide j(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-10 - (-6 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.1, 5, -3\/8, 5.2, -2\/7, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-18))\/((-30)\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 1425428371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -1000?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 12*x**2 - 19*x + 15. Let f be w(-10). Calculate the highest common factor of 45 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6178569753 to the nearest integer?\nAnswer: 78604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0059673 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -17, -1 in ascending order.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4*s**2 + s + 1. Let l(g) be the first derivative of g**4\/4 - 5*g**3\/3 + 3*g**2 - 6*g + 4. Let a be l(4). Determine b(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t + 123165363 - 123165363 + 3*t - t - 3*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 47*f = -229, -24*f + 20*f = -l - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 402*s + 86453 + 101709 - 39562 = 18977*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-156)\/11*6958\/(-45227)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f + 3*f + 4*f)*(-1700 + 741 - 2208).\nAnswer: -6334*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*g - 2 = 0, 8*c - 3*g = 10*c. Suppose 2 = 4*u - 6. Suppose 0*a = -4*a + c*n + 31, 5*a - u*n - 30 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + b**2 - 2*b + 7. Let x be f(0). Sort -3, 5, x in increasing order.\nAnswer: -3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 6, 5, -6, -33, -82, -159, -270?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9662 is divided by 468?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (168\/196)\/((-2)\/(-7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q. Let m(s) = -9*s + 3. Let p(n) = 13*n - 4. Let l(u) = 7*m(u) + 5*p(u). Determine -5*i(o) - 3*l(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -229, -230, -231, -232, -233, -234?\n\"Answer: -r - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*b = -2*b, 5*b - 22 = 3*z. Is (-3)\/z - (8 + (-17282)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 3:09 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.04653 - 0.04347. Put 0, f, -68, -5 in ascending order.\nAnswer: -68, -5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 759 is divided by 526.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 2 + 0 - (-1 - -13 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 9 - 81*k + 40*k + 39*k + 21*k + 3.\nAnswer: 19*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of -32*r**7\/105 - 32*r**6\/15 - 127*r**5\/25 - 59*r**4\/15 + 16*r**3\/15 + 8*r**2\/5 + 186*r. Solve i(s) = 0 for s.\nAnswer: -2, -1, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -0*z - 2*z - z, 4*z + 39 = 58*l - 55*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6983865 + 6984182.9163. Let s = -318 + k. Let n = -0.088 - s. Round n to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/9 and 47\/121350?\nAnswer: 364050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6\/11, -3\/5, 1\/3, 0, 4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 + 18)\/((-4)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 + (16\/1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 0 - (9 + (-11 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 8*k**2 + 129*k + 657. Give x(-9).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**3 - 146*u**2 + 144*u = 0. Calculate u.\nAnswer: 0, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2 + 33*z - 48*z - 4 - 4 + 5*z**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.23 in 1, -10, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -7*u**2 + 234*u - 5. Let f(a) = -4*a**2 + 132*a - 3. Let k(d) = 5*f(d) - 3*y(d). Solve k(r) = 0 for r.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000804533566 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 74. Let k = i + 90. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 293, 3424, 8635, 15926?\nAnswer: 25297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1230512660 divided by 2756?\nAnswer: -446485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16404\/5 + -3282. Which is the closest to -2\/11?  (a) 1  (b) -4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, b: 1, j: 6, h: 2, r: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/7?  (a) -4  (b) 2\/23  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u + 0*u - 2*u + 2*u - 5*u + 4*u + (0 + 3 - 4)*(3*u - 3*u - 4*u) + 17 - 45*u - 17.\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 252 = -257. Let z be -49 + 45 - (q - 5). Let y = -7 - -11. Which is the third biggest value?  (a) 0.2  (b) y  (c) z  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40) + (sqrt(40) - sqrt(40)*5))\/sqrt(8))**2 + 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 985899 or 985971?\nAnswer: 985899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 100 or 8273\/83?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4*z = f - 11, -3*z = -3*f - 15. Are f and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8514 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5134*g**3*n**3*z**2 - 2*g**3*n**2*z + g**3*n - 23*g**3*z**2 + 6*g**2*n**3*z**2 + 3*g*n**2*z**2 - 2*n*z**2 wrt n.\nAnswer: 30804*g**3*z**2 + 36*g**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 92905469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -38*r**3 + 2*r**2 + r. Let l be s(-1). Suppose -w = k - 0*w - l, -3*k + 111 = 5*w. Calculate the highest common divisor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2140518*f**3 - f**2 + 3*f + 1. Let x be k(-2). Let w = x - -30311462. Let p = w - 25087309. Round p to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/753130 and -51\/145145.\nAnswer: 107697590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(1\/(-96)*-12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -636 times -303180\nAnswer: 192822480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 2147141640 to the nearest 100000.\nAnswer: 2147100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 87239.2703 rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, z: 8}. Give prob of sequence zzzi.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/19)*(m**(-1)*m*m*m)\/m)\/(((m\/(m\/m**(-2\/29)))\/m)\/m*m*m\/((m*m\/(m**(-8)\/m))\/m)*m*m) assuming m is positive.\nAnswer: m**(4939\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((172\/27864)\/(10\/(-20)))\/((-4)\/18)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 638 and 37334.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**5 + z**5 + 3*z**5 + (4*z**4 - 2*z**4 - z**4)*(2*z - 5*z + z) + 3*z**5 + z**5 - z**5.\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -79*q + 97*q - 19*q + 3. Determine w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 860099 is divided by 13231?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 1236 and 1220 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 27, 37, 61, 105, 175, 277, 417, 601?\n\"Answer: n**3 + n**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 3 = c, 4*a - 2*c - 3*c = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-136)\/170)\/(44\/10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6702*z = -6985*z - 273740 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*z**2 - 23*z**2 + 11 - 10 + 2*z - 15*z**4 to the form s + a*z + d*z**4 + f*z**2 + y*z**3 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 31 = 5*w, 39*r - 85*w = 5*r - 80*w - 43 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q**3 + q**3 + 710 - 756.\nAnswer: 7*q**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -15990773, -15990760, -15990747, -15990734, -15990721?\n\"Answer: 13*x - 15990786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120025?\nAnswer: 5, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/((3\/21)\/(10*(-15)\/(-150))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 118*n**4*s + 7*n**3*s**3 + 6*n**3*s**2*t + 48*n**2*s**3*t - n**2*s**2*t + 11*n**2*s*t wrt n.\nAnswer: 2832*n*s + 42*s**3 + 36*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5166*d - 1968*d - 75372 - 559554 = 0 for d.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -179 + 541\/3. Let m = -388 - -391. What is the closest to m in t, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 1\/863  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 745 a factor of 9082295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 8676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 562958133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u**4 + 125772*u**3 + 1005999*u**2 + 628590*u - 6287400 = 0 for u.\nAnswer: -41916, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -36365*y**2 - 14*y + 11. Let w be m(-11). What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16168?\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 704658 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 19*r + 6. Give n(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 0*t - 2. Suppose -4*y = -2*y + 4. Let u be (y\/7)\/(-3 + 5). Sort 2\/11, u, t in decreasing order.\nAnswer: t, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.77243 centuries to years.\nAnswer: 2477.243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -368, -358, -348, -338, -328?\n\"Answer: 10*h - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -194587, -194598, -194611, -194626, -194643, -194662, -194683?\nAnswer: -194706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -113134*l - 2036408. Give g(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 - (-3 + 3 + -60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2711*o**2 - 10*o - 5238. Let z(m) = -2*m**2 - 5*m - 2. Let s(q) = -y(q) + 2*z(q). Differentiate s(c) with respect to c.\nAnswer: -5430*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/((-32)\/12))\/((-777)\/(-148))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*g**5 + 10*g**4 + 7485*g**2 - g - 148935 wrt g.\nAnswer: 180*g**3 + 120*g**2 + 14970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2094423, 4188863, 6283305, 8377749, 10472195, 12566643, 14661093?\nAnswer: 16755545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 53.19, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 56*v**4 + 0*v**3 - 8*v**3 + 35*v**2 - 61*v**4 wrt v.\nAnswer: -120*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -10*j**5 - 914*j**4 - 20608*j**3 + 12696*j**2 = 0.\nAnswer: -46, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 + 13 = 4*p - 3*g, 4*g - 52 = 3*p. What is the units digit of 3\/p*-4*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 6:23 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, z: 1, h: 1, w: 4, t: 2}. Give prob of sequence hw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 7. Let b = 2 + g. Let h be 0\/2*(-93 + 94). Solve 28 = -u - u + b*o, u + 2*o - 6 = h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 186*o**3 + 2*o**2 - 54*o + 175. Is i(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1775032.\nAnswer: 2, 7, 29, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + 13\/(26\/8))\/2 - 1. Solve y = 4*b + s, -7*b - 7*s = -3*b - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 14 = -16. Let y be m\/15*-5 - 1. Sort y, -3, 6.\nAnswer: -3, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51264905740695 + 5?\nAnswer: 51264905740700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1011 (base 2) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2297174 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o + 2*o + 5*o - 3 - 4*o + 3 + (-o - 2*o + o)*(3 - 2 + 1) + 3*o - o - o)*(14*o + 9 - 13 + 3).\nAnswer: -56*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 + 3 + 1)*(1 - 3 + 0)*(-2 + 2 - 5*j)*(-8 - 3 + 1)*(0*j + 2*j - j) to c + x*j**2 + f*j and give x.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from qllvqvsqvvvvlseesvll?\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2 = 3*c. Let n be 1\/(-4) + 539\/28. Suppose 15 = -3*j, 5*t - 3*t = 3*j + n. Solve 4*v + c = -3*f, -t*v + 4 = 2*f + 3*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 3*i**2 - 3*i - 3. Let p(v) = -2*v**3 - 7*v**2 - 7*v - 7. Let y = -32 - -35. Calculate y*p(n) - 7*u(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4375 (base 10) to base 16.\nAnswer: -1117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2952, -3277, -3824, -4593, -5584, -6797, -8232?\nAnswer: -9889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.27*209805\nAnswer: 56647.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (-9 - -25) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 11, i: 3}. Give prob of sequence iff.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.16, -2, -8\/9, -4, -2\/5 in increasing order.\nAnswer: -4, -2, -8\/9, -2\/5, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cgvdgcgdddccdvgvdd. Give prob of picking 2 v, 1 d, and 1 c.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m**3 - m**2 + m + 1. Determine u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -10, 102, 0 in increasing order.\nAnswer: -10, 0, 1, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hvvhvhhhhhvhvhhhhh. What is prob of picking 1 v and 1 h?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2100 = -o. Let w = -85 + 88. Let y be (o\/18)\/(1\/w). What is the highest common divisor of 28 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 less than or equal to 977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 60 - 5. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 5. Suppose 4*p - 1 = -4*u + 19, c*p = 3*u - 7. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 381, 7529 in ascending order.\nAnswer: 3, 381, 7529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 2 - (-2 + 13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -420072 or -2940507\/7?\nAnswer: -420072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -40*k - 2. Let x(c) = -c**2. Give y(x(h)).\nAnswer: 40*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/2*28\/(-8). Let x = a - -8. Differentiate 22*r - x - 2*r**2 - 22*r wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7319611785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -26*g - 153. Let w(m) = 9*m + 51. Let o(b) = 17*w(b) + 6*x(b). Let h be o(-17). Solve -6*f + 2*f = -4*u, h = -u + 5*f + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 3:19 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/27*-3*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(72)) + sqrt(72).\nAnswer: -24*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -3) + 7 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/6*(-8)\/(-10). Put 2, -5, 4, a in descending order.\nAnswer: 4, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.49965 to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 17*y - 26. Calculate s(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 57*a + 224*a - 1145 - 541 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-4) - (-279)\/(-554). Let k = 11906\/1385 - d. Calculate the common denominator of 410\/12 + (-2)\/(-6) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 = 2*j + 5*b, -b + 3 = 6. Calculate the greatest common divisor of j and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 1:40 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -54*b. Let m(f) = -3*f - 1. Let h(d) = -7*d - 3. Let o(x) = -2*h(x) + 5*m(x). Let s be o(3). Is 21 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 - 87. Let k = 66 + g. Let u = k + -34. Solve u*o - 2*v - 4 = -v, -12 = o + 3*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jdjddjfjffjf. What is prob of sequence ddd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - 6 = -20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**11*x)\/((x\/(x\/(x\/(x*x**(1\/2)))))\/x))\/((x*x**3*x*x)\/(x\/((x**(-3\/7)\/x)\/x))) assuming x is positive.\nAnswer: x**(153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ojookkk. What is prob of sequence koko?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6324925469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mifmzmfizffo. What is prob of sequence ifm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -82\/3, -5, -53 in ascending order.\nAnswer: -53, -82\/3, -5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 338 - 163. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -12569, -2\/11, 2\/21, -5\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15536, -15579, -15620, -15659, -15696?\nAnswer: -15731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -y - 0*y. Suppose l - y = -2*q - l, -2*q + 3*l = -24. Suppose 0 = -4*x + q + 2. Solve -3*z = x*n + 3, 2*z + 0*z + 4*n - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 908*d**3 - 2 - 907*d**3 + 6*d**2 + 5*d - 1. Give u(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-8)*-6)\/((-3)\/(-292)). Suppose -2*o - 4*u + 202 + 724 = 0, o - x = 3*u. Let z = -4 + o. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4\/5, 7, 0.18, 0.1, 62, -5?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 12. Let k = 11 - r. Let z = 3.3 - k. What is the third smallest value in 3\/7, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -41. Suppose -r + j = 14. Solve 3*f + 0*f = 4*x + 17, -4*x + r*f = 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.03 and 282023806.\nAnswer: 282023805.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1788730 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-1)*(-36)\/(-126).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 9276 = -2892. What is the lowest common multiple of 338 and n?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 671 and 57145?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69263, -69262, -69261, -69260, -69259?\nAnswer: -69258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 2)*(-3*i + 0*i + 2*i) + (-2*i + 0 + i + 1)*(-140 - 35 + 39))*(4*i - i - i).\nAnswer: 276*i**2 - 272*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1531056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4479209666 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7 + 4 - 11 + 1479*l - 1520*l. Let p(q) = -5*q**2. Calculate m(p(s)).\nAnswer: 205*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 AM and 3:48 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 2*q - 5*f, -4*q + 12 = 2*f. What is c in -c**2 - 3*c**2 + 2*c**q = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26361 divided by -16?\nAnswer: 26361\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (8 - 5) - (-3 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 26  (c) 3\/4  (d) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 12:09 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 4*t**3 + 5150*t**2\/3 - 62386*t\/3 + 34692 = 0.\nAnswer: -441, 2, 59\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w**2 + 4*w + 1. Let c be b(-2). Solve -c = 5*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.55 and 0.9.\nAnswer: -8.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113302 + 113332?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k - 1. Let t(x) be the first derivative of x**4\/4 - 2*x**3 - 18*x**2 - 29. Let j(w) be the second derivative of t(w). Give -j(r) + 12*z(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41043 - -41043. Find q, given that n - 2\/3*q - 2*q**3 + 2\/3*q**4 + 2*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13919685 a multiple of 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 154*o**2 - 45*o + 64. Is s(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*p, -u + 2 = -5*p - 16. Calculate the remainder when 6 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 56*f**2 + 1422*f - 254. Determine u(-75).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4585948 to the power of 1\/2, to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 59, -199, -1457, -4393, -9685, -18011, -30049, -46477?\n\"Answer: -113*d**3 + 178*d**2 - d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16689 by 1155.\nAnswer: -5563\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a millisecond in microseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26735*q = -26713*q + 1518 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 44746?\nAnswer: -44741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 3:26 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 22107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h + 1. Let c be o(0). Let j = -2 - c. What is the third smallest value in 0.1, -2, 2, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 7*i**2 - 6*i + 8. Let a be 3 + 1\/((-1)\/2). Let u(z) = z**2 - z + 1. Determine a*o(j) - 6*u(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f**2. Let g(r) = -3*r**2 + 0*r**2 + 0*r**2 + 4*r**2. Let o(c) = 6*g(c) - n(c). Let x(k) be the second derivative of 7*k**4\/12 - k. Give o(x(h)).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 1188 = -4*r, 0*i + 1158 = 4*i - 2*r. Suppose 5*c = 4*b - i, 2*b + 5*c + 10 = 126. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*r - 0. Let h = 86265 + -431322\/5. Put h, r, 5, -10\/3 in decreasing order.\nAnswer: 5, r, h, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -t**5\/30 + 19*t**4\/24 - 3*t**3\/2 + 23*t**2. Let z be r(8). Suppose 17*h - 6614 = z*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -468 * -197.6\nAnswer: 92476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -14*n + 26*n - 14*n. Let r(b) = -2*b. Give r(q(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*l + 108*l = -108*l + 240*l + 8080 for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 381.2165 micrograms to grams.\nAnswer: 0.0003812165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -175 - -7?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.097 times -3\nAnswer: -0.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l. Suppose -4*v + 8 = 5*t + 2, 2*v + 4 = t. Let h(z) be the first derivative of 18 + 1\/3*z**3 + 0*z**t + 0*z. Determine i(h(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -377, -361, -319, -239, -109, 83, 349?\n\"Answer: 2*z**3 + z**2 - z - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2735 divided by 18?\nAnswer: -2735\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002 plus -5672?\nAnswer: -5672.0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 3*h + 5*h)*(3*h - 5*h - h) - h**2 - 2*h + 2*h - 2 + 2 + h**2 + (2*h + 1 - 1)*(1 - 2*h - 1) - h + h - 2*h**2 + h**2 + 4*h - 4*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - d**2 - d - 1. Let x(l) = -241*l**3 - 4*l + 2 + 3*l + 239*l**3 - 2*l**2. What is -a(k) + x(k)?\nAnswer: -3*k**3 - k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15.999956 - 16. Round n to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 199 - 91. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1560 divided by -5?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -11 - (-10)\/2*1 - -6. Find the first derivative of c + 3*w**3 - w**3 + 31 + 6 + 0*w**3 + 71*w wrt w.\nAnswer: 6*w**2 + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 458*-0.11\nAnswer: -50.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 698*q - 873*q = -875. Solve 0 = -q*s + 107 - 112 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, n: 6}. Give prob of picking 1 n and 1 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**3\/2 - 16*n. Let k(x) = 4*x. Give w(k(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/4  (b) -0.2  (c) 2\/39  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 13, -611449 in decreasing order.\nAnswer: 13, -3, -611449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 5*b + 14, -5*y + 4*b + 4 = b. Let k = 17 - y. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 801791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 13*t**2 - 273*t + 701. Give d(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10288, 9902, 9524, 9154, 8792?\n\"Answer: 4*u**2 - 398*u + 10682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -21913*r**2*x - 1199919*r**2 + 24*r*x wrt x?\nAnswer: -21913*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m*((m**(-2)*m)\/m)\/m)**(-7\/2))**(-4\/3))**(-17))**10 assuming m is positive.\nAnswer: m**(4760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16277 is divided by 187.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/383840 and -65\/345456?\nAnswer: 3454560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 5*j**3 + j**2. Suppose 33 = t + 2*t. Let g(y) = -y**2 + 7*y + 10. Let m be g(8). Suppose -2*d + t + m = 5*f, 0 = f + 5*d - 21. Give i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/16*(-2768)\/(-1557).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -910?\nAnswer: -3\/910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -107 + 113. What is the least common multiple of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04145*0.0125\nAnswer: -0.000518125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/408)\/((-42)\/(-126)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 14. Let q = s - -2. Calculate the smallest common multiple of (10 - 0) + (3 - q) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 549781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 10:35 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 4928.\nAnswer: -5\/2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 - 57. Suppose 4*q = 2*b - 368, t*b - 552 = 2*b + 4*q. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -13, 0, 574, -4, -2, 12 in decreasing order.\nAnswer: 574, 12, 0, -2, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -58216 and 4?\nAnswer: -232864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -58552546 divided by 6?\nAnswer: -29276273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbbbqblbqbnqnbqqqb. Give prob of picking 2 b.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142, -559, -1220, -2101, -3178, -4427, -5824, -7345?\nAnswer: -8966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {a: 17, i: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 9*i**2 + 22*i + 2. Let a be f(11). Suppose 60 = -a*d + 4*d. Calculate the least common multiple of 3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/4 - 1711837*u + 2930385914569.\nAnswer: (u - 3423674)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1*(0 + sqrt(1584)*-1*6 + sqrt(1584)*-2*5 + -4 + -5))**2.\nAnswer: 10368*sqrt(11) + 1216755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -6*q. Let a be 2\/(-10) + (-602)\/215. Give g(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19.64 + -0.048171081.\nAnswer: 19.591828919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/((sqrt(9) - sqrt(144))*-5).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3 + 3 - 370*c**2 + 17*c**2 + c + 5 wrt c.\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5*-2*sqrt(220))\/sqrt(5).\nAnswer: 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-36)\/10)\/(9\/(2250\/(-20))). Find the second derivative of 62*w + 5*w**4 - 76*w + 59*w + j*w**4 - 2 wrt w.\nAnswer: 600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 465 + -436 - (15 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*h - 54, -9*r = -14*r + 5. Solve -15*s + 4 = -h*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1709 from -5.\nAnswer: -1714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -116 * 712\nAnswer: -82592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*w - 50*w = -52*w - 415 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -n**6\/360 - n**5\/24 + n**4\/4 - 2*n**3\/3 - 1. Let g(c) be the third derivative of p(c). Determine g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 627*k**3 - 8055*k**2 - 84480133 wrt k.\nAnswer: 1881*k**2 - 16110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20392 - -20413) + (-2 - (-3 + 2) - 1) + 16.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -5*t + 288, t + 1631 = 4*m + 458. Let z = m + -172. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -522 (base 6) to base 9\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 8*c**2. Let n(b) be the third derivative of 265*b**4\/24 + b**3\/3 - 1598*b**2. What is r(n(v))?\nAnswer: 561800*v**2 + 8480*v + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t. Let g(f) = 7*f + 3. Let p(z) = g(z) + 6*x(z). Determine p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 2:08 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 25970, 103932, 233886, 415832, 649770, 935700, 1273622?\n\"Answer: 25996*q**2 - 26*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (4 - 3) + -2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4047415 - 39\nAnswer: 4047376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 + 19 = 8*h. Suppose -5*w = -5*x - 5, 3*x - 23 = -4*w - 5. Put x, h, 0 in increasing order.\nAnswer: h, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, -154.\nAnswer: -154, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**2 + 4. Let i(l) = 5*l**2 + l - 9. Let u(q) = -7*g(q) - 3*i(q). Let b(r) be the first derivative of u(r). Differentiate b(x) with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j. Let k be w(6). Is k >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 460.381s?\nAnswer: 460381000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {e: 7, v: 2, u: 1, s: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 188949095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001670162 to seven decimal places.\nAnswer: -0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 414 + -414. Let z(u) = -u**2 + 8*u - 13. Let i be z(6). Let v be (-20)\/3 - (-2)\/3. Which is the closest to i?  (a) 2\/11  (b) v  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -198 divided by -92666?\nAnswer: 99\/46333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/2 - 2)\/(-1). Suppose 0 = g + 2*o + d*o - 37, -2*o = -3*g + 41. Suppose -5*b - g = -62. Solve j - b = -5*v - 0*j, 5*v - 4*j + 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1269129571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(6\/(-15))*-1)\/1. Let r be (-139)\/b + (14 - 10)\/20. Are r and 28 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 290765261*a**4 - 114169719*a**2 wrt a?\nAnswer: 6978366264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 120*i - 81*i - 984*i to the form w*i + m and give w.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 240\/25 + 6\/15. Suppose 0 = 3*i + c - 401, u*c + 503 = 4*i + 5*c. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 0.1, 0.14, 872, -0.2, 0 in descending order.\nAnswer: 872, 0.14, 0.1, 0, -2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 3, 5 in ascending order.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 3*x + 1, -9 = -x - r - 1. Solve 0 = h + 5 - x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d**2 - d + 1. Let m be c(1). Suppose 4*x - 5*h - 120 = 47, 3*h - 159 = -m*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**2 + 138690*a - 1663848 = 0. What is a?\nAnswer: 12, 46218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5255.83 from 0.2.\nAnswer: 5256.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-l + 0 + 0)*(-1 - 6*l + 1)*(-7*l + 3*l + 3*l) + (1 - 2 + 3)*(-l + 2*l**3 + l))*(4*l**2 - l**2 + 0*l**2).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5*f**2 + 5*f + 2. Let o(a) = a**3 + 24*a**2 - 26*a - 11. Let i(p) = p**3 - 4*p**2 - 5*p + 11. Let d be i(5). Calculate d*h(y) + 2*o(y).\nAnswer: 2*y**3 - 7*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 202, 0, 6, 5, 20, -1 in increasing order.\nAnswer: -1, 0, 4, 5, 6, 20, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2 + 36*b - 171. Let s be y(-22). Let l be -2*(6\/27)\/2. What is the nearest to l in -2\/15, 0.2, 2\/9, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-9) - (-18)\/(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 8:03 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 123 + -28. What is the remainder when j is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3271 - -3294. What is the remainder when (390\/45)\/((-2)\/(-42)) is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {c: 6, p: 5, s: 3, k: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*b - 6 = 0, 4*p - 72 = 2*b + 2*b. Let y = 64 - 29. What is the greatest common divisor of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4*y**2 - 176*y - 640. Let j be l(-40). Factor 0 + j*w**3 - 1\/4*w**4 + 0*w - 1\/4*w**5 + 0*w**2.\nAnswer: -w**4*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -863  (c) 1.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13440300 - -144?\nAnswer: 13440444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 142\/(-6)*12\/4. Let p = c + -16. Let j = 210 + p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/5  (b) -0.1  (c) 1154  (d) -2  (e) 141  (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 8*k - 8. Let f be z(-6). Suppose -b - 5 = 5*l - 8*l, -5*l = -5*b - 5. Suppose 8 = 2*m - 2*o, -2*m - 3*o + 0 = -3. Solve -m*u = -f - l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1231 + 2?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*r - 23*r + 907 + 367 = 0 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168132 is divided by 23805.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {p: 1, x: 4, g: 1, u: 11}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17786344 and 3256?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 2553717?\nAnswer: 2553714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 3*b - 5*b + 192, b - 129 = -2*c. Suppose 2*h - 7*h + 3*k = -470, h = -5*k + c. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-11)*(-10)\/20. Let q = 46 + -44. Which is the second smallest value?  (a) 0.4  (b) x  (c) 0.5  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1380, -1287, -1194, -1101, -1008?\n\"Answer: 93*g - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/3 - 16\/3*b**3 + 16\/3*b + 4\/3*b**2 = 0. What is b?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 e when three letters picked without replacement from hkyhtyetthttttkkyd.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -84 + 270?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25920, -51934, -77908, -103842, -129736?\n\"Answer: 20*f**2 - 26074*f + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**3\/11 - 26391*k**2\/11 + 174108024*k\/11 + 174134416\/11 = 0.\nAnswer: -1, 13196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 1:24 PM?\nAnswer: 61","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 1464, 72?\nAnswer: 1464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 39248.67um in meters?\nAnswer: 0.03924867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -1 - 0)*4\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 708, 3, 169, -5.\nAnswer: -5, -3, 3, 169, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -16. Which is the third biggest value?  (a) 4\/3  (b) u  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/117, -0.1, -1.4, 5\/3 in decreasing order.\nAnswer: 2, 5\/3, 2\/117, -0.1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -15*g**2 + 243\/10*g**4 - 81\/50*g**5 - 1\/1050*g**7 + 0*g + 0 - 2187\/10*g**3 + 3\/50*g**6. Solve q(c) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, z: 3, u: 5, w: 1, n: 1, v: 4}. Give prob of picking 2 u and 2 z.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.123709 rounded to two decimal places?\nAnswer: 7.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n - 2*n + 18, -2925*h + 3*n = -2928*h + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**2 - 2*x**2 - 4*x**2 + (0*x + x + x)*(19 - 19 - 80*x).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 17, -1\/388, 152?\nAnswer: -1\/388","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5620 not equal to 5620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*r**2\/5 + 84*r\/5 + 9\/5 = 0. Calculate r.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = -4*t - 200. Suppose 60 = 4*w + t. Solve 2*u + 0*h + 12 = h, -w*h = 4*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15*(2020\/6 + 0). Suppose 5 = -5*o + 25. Suppose -s = o*s + f. Round s to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 33c + -109?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19*-1 + (102 - (-84 - -208)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7\/183 - 767\/915. Which is the nearest to -0.1?  (a) 0.3  (b) -4  (c) n  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 348144, 696295, 1044454, 1392621, 1740796, 2088979?\n\"Answer: 4*c**2 + 348139*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -396, -2161, -5110, -9243, -14560, -21061, -28746?\nAnswer: -37615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -1, -76808, 0.\nAnswer: -76808, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 126272?\nAnswer: 126272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14203 is divided by 332?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/20)\/(408\/(-272)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4a889 (base 12) to base 4\nAnswer: 120301221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5045427.\nAnswer: 3, 439, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 34, 24, 0, -44, -114, -216?\n\"Answer: -l**3 - l**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/765, -2, 6, -2\/5, 1574?\nAnswer: -2\/765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-72))\/(((-1400)\/84)\/(-25)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 5*q - 23, q + 1 = -2*u - 4. Let f be (-1)\/(4\/4)*u. Solve -f*r - 5 - 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c**(-2)\/c)))\/c*c*c*(c*c\/(c\/(c*c*c*c**(1\/3)*c*c)))\/c*c)\/((c**(-1\/4)*c)\/c)**(-11\/5) assuming c is positive.\nAnswer: c**(227\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 1 - 7 = 0. Let s = -58 - -85. Let y = -26.6 + s. What is the closest to n in 2, y, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**6\/120 + c**5\/12 - c**4\/4 + c**3\/3 + c**2 + 54*c. Let l(u) be the first derivative of d(u). Give l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 4*p = -10. Let w = 8 - p. Solve 2 = 5*s - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 517*m**2 + 712*m**2 - 1793*m**2 + 566*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + d**2 + 4*d**2)*(3*d - d - 3*d) + (-477*d + 162*d**2 + 511*d - 141*d**2)*(0*d + d - 2*d).\nAnswer: -23*d**3 - 34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of w**7\/42 + 26*w**6\/3 - 523*w**5\/20 + 131*w**4\/6 - 13*w - 22. Find g such that s(g) = 0.\nAnswer: -262, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04467 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-33)\/(-22))\/((-3)\/(-8)). Solve c = b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 8*w + 50 = 0. Solve -12*o = w + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.3391 and -0.0453.\nAnswer: 0.2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*h + 108 - 108)*(-6 + 6 + 26*h**4).\nAnswer: -364*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of -r**4\/4 - 9*r**2. Let t(b) = 13*b. Let n(l) = -3*l. Let x(p) = -9*n(p) - 2*t(p). What is f(x(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n - 10*n - 24 = -r, -4*r - n + 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**5*x**2 - 146*k**2*x**2 - 5*k + x**2 + 2 wrt k?\nAnswer: 40*k**3*x**2 - 292*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 161*c**2 + 8*c**3 - 21*c**3 - 122*c**2 + 12*c**3 - c**4 + 1 + 2*c in the form t*c**4 + s*c**2 + n + v*c**3 + w*c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 38 = -2*y + 3*y, 5*v - 150 = -4*y. Suppose 0 = -y*z + 38*z + 12. Solve 4*h = 26 - z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2265, 2267, 2269, 2271, 2273?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -34.035 to 1 dp.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q**3 - 30600*q**2 + 244540*q - 366720 = 0. Calculate q.\nAnswer: 2, 6, 6112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -137 + 136.9. What is the nearest to z in 1, 2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 143961008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(-18)*h**(-9\/4) assuming h is positive.\nAnswer: h**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) + 5*(sqrt(243) - ((-3*sqrt(243) + sqrt(243) - sqrt(243)) + sqrt(243))))\/sqrt(9))\/((sqrt(1458) + -5*sqrt(1458))\/sqrt(2)).\nAnswer: -4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/54 and (-9)\/(-63) - 4\/(140112\/5718)?\nAnswer: 7506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.92 + 0.08. Let s = p + 1. Let r = -3.7 + s. What is the third smallest value in -4\/3, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bzf when three letters picked without replacement from fzbzbbzbfb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3*4)\/4 + 0. What is the remainder when ((-39)\/15 + c)*5 is divided by (1 - -2)*1 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33 divided by 695\nAnswer: -33\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29\/((-6525)\/36)*-5)\/(2\/4)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 36. Let c be (0 - 64)\/(8\/i). Round c to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.209918 * 0.04\nAnswer: 0.04839672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 AM and 4:49 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -3. Suppose g*w = 3*w. Suppose k - 5*k = w. What is the nearest to 2 in -0.2, -4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25285 divided by -35?\nAnswer: 5057\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**2 + 241*b**3 + 2*b**2 - b**2 - 105*b + 301*b**3 + 105*b + 2.\nAnswer: 542*b**3 + 6*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209)) + sqrt(209))*-3)\/(sqrt(11) + sqrt(44)\/(sqrt(16)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w**4 - 240*w**3 + 2610*w**2 + 7000*w - 9375 = 0. Calculate w.\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 116 - (160 - (33 - 81))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3529 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 t(l) = l**3 + 113*l**2 + 686*l + 4859. What is t(-107)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 2*f + 2, -f + 6 - 2 = 2*n. Suppose n*l - 12 - 15 = 4*i, 0 = -3*i - 3*l - 36. Let d be 9\/6*(-6)\/i. Does d = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 809.7639 months to millennia.\nAnswer: 0.067480325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22539934?\nAnswer: 2, 199, 56633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3503 divided by 1.\nAnswer: -3503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -51817, -103628, -155437, -207244, -259049, -310852?\n\"Answer: b**2 - 51814*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 12:06 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110011110100 + -10101110111101101?\nAnswer: -10100000011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 - 181*i - 829*i in the form s + b*i and give b.\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 35*u**3 + 5*u**2 + 5*u + 5. Let v(w) = 35*w**3 + 4*w**2 + 4*w + 4. Determine -4*j(d) + 5*v(d).\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 67509 and 4405395?\nAnswer: 171810405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (12 - (7 + 1)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*j - 11, -c + 4*j + 2 = 3*j. Suppose -c*h = h - 4*h. Suppose -3*m + 2*q + 45 + 227 = 0, 3*m + 5*q - 244 = h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6170.9 - -6171. What is the closest to q in -0.04, -15\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 8*z - z + 13 - 6*z. Let m be x(-8). Suppose -m*h + 29 + 106 = 0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 3) + 0 + -2 - -11 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111110010001 (base 2) to base 13.\nAnswer: -1a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -72122481.12 rounded to the nearest 1000000?\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -35 - 3*(-21 - -15). Which is greater: -75 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*p - 87 + 32 - 1 - 194.\nAnswer: -7*p - 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24469, 24494, 24519?\nAnswer: 24544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 196*p - 7291. Calculate b(-146).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of y**5\/15 + 2*y**2 + 125*y. Let c(g) = -3*g + 2. Determine a(c(i)).\nAnswer: 36*i**2 - 48*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 4*c - 16. Let n(a) = a**2 - 4*a + 2. Let r be n(c). Factor 0*b + 2\/9*b**4 + 0 + 0*b**r - 2\/9*b**3.\nAnswer: 2*b**3*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 + -30.9. Which is the nearest to o?  (a) 0.4  (b) -4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1.1, 0.3, 2\/3, -0.01 in decreasing order.\nAnswer: 1.1, 2\/3, 0.3, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-66)\/2640*210)\/(6\/(-64))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 3\/7  (c) 1  (d) 6  (e) 2\/509  (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/48 and ((-8)\/112)\/(1320\/(-651) + 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.8 + -0.8. Let x = 25.9 + -25. Let d = -1.5 + x. Sort -0.5, d, y in descending order.\nAnswer: y, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssyy when four letters picked without replacement from ysysssysyysysy.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 4\/7, -0.4, 4.2, -0.1 in increasing order.\nAnswer: -0.4, -0.1, 4\/7, 4, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.71  (b) 9  (c) 0.05  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -941534, -942139, -942742, -943343, -943942, -944539, -945134?\nAnswer: -945727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) 1\/6  (c) -2  (d) -3  (e) 41\/3  (f) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -20*p + 20*p - 23*p**2 - p**2 - 2 + 2 - 1 + 3*p**2 + 1 + 3*p + p**2 - 3*p + (-p + 5*p - 3*p)*(-4*p + 2*p + p) + 4*p**2 - p**2 - 4*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*b**5 - 201*b**3 + 12 + 21*b - 69*b**2 - 73*b**5 + 27*b + 14*b**5 + 357*b**4 = 0. Calculate b.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4a6 - -4c?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1107*0.0785\nAnswer: 86.8995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 456 in 46, -8, 6, -6?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z**(-11))\/z)\/z*z*z**(-7\/5)\/z*z)\/(z**(-1\/16)\/((z*z**16\/z)\/z)))**(3\/14) assuming z is positive.\nAnswer: z**(639\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 1.5. Let r = -1 - s. Suppose 11*q - 5 = -2*v + 16*q, -4 = 2*v - 2*q. Which is the nearest to -1?  (a) v  (b) r  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09473 + -305.9?\nAnswer: -305.99473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 809557230 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*z**2 - 195*z**2 + 295*z**2 + 453*z**2 + 199*z**2 to the form y*z**2 + c*z + b and give y.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -39 - -f?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 293210 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 + -7 - 17) + (10 - 3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 107 and 132170680.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.7927365 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 11:16 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -32*(-29)\/(-2436)*(-3)\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 14 = b, 2*h + 2*b = -h + 67. Suppose 0 = -2*x - 10, -8*a + x - 6 = -9*a. Suppose a*q = 14*q - 57. What is the greatest common factor of h and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (167055\/5775 - 29)\/((-4)\/(-10) - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 4*d + 5 = 0, 31*t + 3*d = 29*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.39366 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -3*j + 2*n + 2, -5*n + 45 = 5*j. What is the tens digit of ((-3)\/(-6) + 0)*j + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 92 = -5681*a + 5677*a, 25*a - 133 = -4*u + 30*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) 4  (b) 0.2  (c) -0.1  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, b: 1, q: 4, h: 1, f: 2, o: 2}. Give prob of picking 2 q and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 868628 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 3*n**2 - 3*n. What is the remainder when q(-3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (744 + 8*q**3 + 4*q**3 - 743)*(-4*q**2 + 2*q**2 + q**2) + 5*q**5 - 3*q**5 + q**5 + 4*q - 4*q - q**5.\nAnswer: -10*q**5 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 160 and 328288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 5:17 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -937*i + 971*i - 262854 = 0. List the prime factors of i.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4633757 is divided by 6490?\nAnswer: 6387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - ((sqrt(1700) + -2)**2 - sqrt(17))) + (sqrt(136) - (-1*sqrt(136) + sqrt(136) + sqrt(136)))\/sqrt(8).\nAnswer: -1704 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -2*u**4\/3 + 1225052*u**3\/3 + 6125296*u**2\/3 + 2858476*u + 1225062 = 0.\nAnswer: -3, -1, 612531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7243537.\nAnswer: 7, 1034791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 37214 and 345.\nAnswer: 558210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(60)\/sqrt(5))\/sqrt(6).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 + 27*a**2 + 2*a**3 - 32*a**2 to the form d*a + u*a**2 + q*a**3 + x and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, v: 3}. Give prob of sequence voo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1500 and -3.729?\nAnswer: 5593.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 94, 92, 90, 88, 86?\n\"Answer: -2*b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-266)\/(-114))\/((-3)\/9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 56 - 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1*3*-1)\/(-1). Let i be -10 + (-21 + 61 - 33). Sort i, -4, -11, j in decreasing order.\nAnswer: j, i, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a*o**3*s + a*o**3 - 2*a*o**2 + 4*a*s - 49*o**3*s + 16*o**3 - 114*o**2*s wrt o?\nAnswer: -6*a*s + 6*a - 294*s + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -218, -437, -654, -869, -1082, -1293, -1502?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o + 0 + o**2 - 4 + 3 + 3. Let n be p(0). What is the common denominator of 65\/6 and 652\/48 + (-2 - -1)*n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 86, 2825, 10302, 24893, 48974, 84921, 135110?\n\"Answer: 396*d**3 - 7*d**2 - 12*d - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 325 - 179. Suppose 3*w - 5*w = 0. Suppose w = -2*p + 29 + 45. What is the remainder when l is divided by p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119*x**3 + 122*x**3 - 244*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 0.025  (c) 4665  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 41 = 6*o. Let r = o + 131. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 814292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 79*k + 3287. Let q be w(-32). Which is bigger: q or -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174979538 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, n: 2, r: 1, v: 2}. Give prob of sequence vng.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-43 + 48 + (-2 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48025687*j**3 - 24012852*j**3 - 24012847*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 10:56 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10871 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -8*t**2 + 29*t - 97. Let a(q) = -3*q**2 + 10*q - 32. Let b(w) = 11*a(w) - 4*y(w). Let p be b(-10). Is p\/(((-1)\/(-14))\/(-1)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 10101100011?\nAnswer: -10101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/5 - 14\/5*h - 4\/5*h**2 + 14\/5*h**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4595.000013518 - 4595. What is w rounded to seven decimal places?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 5 + 6)*(-2*m - m + m + (3*m + m - 6*m)*(1 + 1 + 0)) to the form y*m + n and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 3*i = -20, -213*r + 2*i = -217*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of k**3\/6 + 15*k**2\/2 - 5*k. Let l be x(-11). Solve l*q = 16 - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -50*a**2 - a - 12. Let b(k) = 8*k**2 + 3. What is 13*b(c) + 2*j(c)?\nAnswer: 4*c**2 - 2*c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -1.13, 0, 5\/26, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 9:14 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 85 + -90. What is the fourth smallest value in 0.5, 4, 0.01, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**2\/3 - 86*r\/3 - 28 = 0. Calculate r.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15674 + 5*i**2 - 7*i**2 + 15476 to the form h*i + l + x*i**2 and give l.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1906, 15444, 52178, 123706, 241626, 417536?\nAnswer: 663034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -16. Let q = -0.57 + 6.97. Let n = w + q. Which is the biggest value?  (a) 2  (b) n  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76676557747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127.4727ng to tonnes.\nAnswer: 0.0000000000001274727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnsnnnnssnnsnnnsnn. What is prob of sequence sns?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/495*1 - (-80)\/2200. Let y be (0 + -4)\/(8\/28). Let d be 72\/105 - (-4)\/y. What is the closest to -2 in 2, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12164265979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 16*w - 4. Let g(b) = -129*b + 33. What is -33*d(u) - 4*g(u)?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -55*s - 190. Suppose -x - 4*h + 3*h = 8, 0 = 5*x + 4*h + 38. Is 35 a factor of j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 5 - 12*o - 5. Let g(s) be the second derivative of s**4\/12 + 195*s. Give g(y(v)).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -70.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 2*j**2 - 4*j - 1. Let c(a) be the first derivative of -2*a**3\/3 + 1871. Determine c(i(q)).\nAnswer: -32*q**2 + 64*q - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 1 + -3 + 482\/(-48).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 897 = 11*m + 10*m - 64*m + 82*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -6*o**2 + 3*o. Let d = -14 + 20. Let y(n) = -2*n + 4*n + 6*n - d + 5. Let a be y(1). Let s(f) = 4*f**2 - 2*f. What is a*s(i) + 5*c(i)?\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -3*n + 2, n + 5 - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {m: 4, v: 1, t: 4, e: 5, j: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2016)\/27 + 69)\/(2\/(-6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -9, 3, 19?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116197105 is divided by 358633.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-14 - -47) - -73?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 546 + -546. Suppose -4*h - l - l + 6002 = j, -5 = l. List the prime factors of h.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4 - 1\/4*w**2 + w.\nAnswer: -(w - 3)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37.9 + -32.9. Put 4\/5, 0.02, c, 2 in decreasing order.\nAnswer: c, 2, 4\/5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 11. Let o(g) = -g**3 + 5*g**2 - g + 14. Calculate the least common multiple of l and o(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-2)*v)*v*v)**(-1\/2) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*r + 24 = -5*w - 128*r, 0 = 2*w + 2*r + 8. Let t be 66 + (-3 + w + 11 - 4). Calculate the greatest common divisor of t and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 29869 and 29858 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 3 = 1. Suppose 3 = 5*s - 2. Let x = y + s. Sort -3, 3\/2, x in increasing order.\nAnswer: -3, x, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of k**2 - k - 20. Calculate v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190344229 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)\/sqrt(3))\/sqrt(3) - (sqrt(1573) - (sqrt(1573)*2)**2).\nAnswer: -10*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5700 = 40*p + 138*p + 297*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h + 3 - 3 + (5 - 1 - 2)*(5*h - h - 2*h))*(0*h**2 + 16*h**2 + 27*h**2) in the form t*h**3 + a*h**2 + n*h + b and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in 0.1, 6\/5, 1.3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**2 + 0*y**2 + y**4 - 2*y**4 - 3*y**4 + 2*y**4 + (-2*y**4 + 3*y**4 + 0*y**4)*(0 - 3 + 1) - 232*y**4 - 206*y**4 + 620*y**4.\nAnswer: 178*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 10*t**2 + 5*t + 5. Suppose 17 = -7*k - 4. Let n be q(k). List the prime factors of ((-18)\/12)\/((-12)\/n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38409 + -38408.1. Sort 6, x, 0.07, -0.3 in increasing order.\nAnswer: -0.3, 0.07, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -1 + -15 + 15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6270.1 + -60958.9. Let x = q + 67225.5679. Let c = x + 0.0021. What is c rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9584, -19230, -28874, -38516, -48156, -57794, -67430?\nAnswer: -77064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wxpxxxwpxxxw. Give prob of sequence xpp.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 53824588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1140\/173 or -8129?\nAnswer: -8129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9380 and 210?\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f + 12. Let i = -106 + 108. Let v be y(i). Which is smaller: -7 or v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -18, -13, -4\/3, -191, 0.4, 1\/4, -0.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 985556.5 micrometers in centimeters?\nAnswer: 98.55565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5771 - -10659. Is a a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -s + 6. Let n(w) = 12*w - 150*w**s + 2*w**2 + 2 - 24*w + 15*w - w**2. Let j be n(-1). What is the greatest common factor of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = 278*s - 265*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 5*u - 38 = 0, -6*n = -n + 4*u + 61. Let i(r) = -11*r - 2. Let h(v) = -5*v - 1. What is n*h(j) + 4*i(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of -j**2 + 1\/20*j**5 + 4*j - 7\/3*j**3 + 0 + 5\/6*j**4. Is s(-11) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -10*f - 1 - 25*f - 30*f - 2. What is the tens digit of h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 3*w + 5*w)*(2*w + 2*w - 5*w)*(9*w**3 - 8*w**3 + 32*w**3).\nAnswer: -132*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 3. Let n be (a - -2)*-2 - -2. Let i = 1 - n. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -728 - -727. Which is smaller: r or -3\/553?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v. Let l(s) = 12*s + 1. Calculate w(l(r)).\nAnswer: 36*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-6) - 266\/6. Let z be u - -3*6\/9. Let i = -22 - z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45802639.\nAnswer: 223, 293, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*j**2 + 303 - 306 + 11*j**2 + 13*j to the form q + h*j**2 + t*j and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 5*r**2 - 21*r - 18. Let d be s(9). Let l = -8473 - d. What is l rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2506095 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -153, -13, 2155 in descending order.\nAnswer: 2155, 1, -13, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6587  (b) 4  (c) 1415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 + 18 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*m**3*n**3 - 2*m**3*n**2 - 3591*m**3*n - m**3 - 63*m**2*n**6 - m**2*n wrt n.\nAnswer: -102*m**3 - 7560*m**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-3))\/2*((-35937)\/(-22))\/(-121)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 4*k. Let g(n) = -386859*n**2 + 3*n + 1. Calculate u(g(o)).\nAnswer: -1547436*o**2 + 12*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 + 23 + 7 + 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f + 14. Calculate b(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3712, -7351, -10990?\nAnswer: -14629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -129, -306, -559, -888, -1293?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/135*3*9\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 0*s**3 + 579*s**2 - 579*s**2 + 1 - s**3. Calculate f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o**2\/4 + 59768*o - 119537 = 0. What is o?\nAnswer: -239074, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*(-5 + 2 + -1). Let m be 2\/(6\/12 + -4 + 4). Let w = m - g. Calculate the lowest common multiple of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2481982037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08820267 minus 2?\nAnswer: -1.91179733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 740 - 739.6. Sort 0.5, -5, 6, g in ascending order.\nAnswer: -5, g, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-7))\/(15\/35)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 7 = b. Let u(o) = 16*o - 2. Let n be u(b). Suppose 5*w + 28 - n = 0. Calculate the greatest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116969389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*x - 285*x - 5*x = 6615 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 2. Let a(h) = 33*h**2 + 5*h - 3. Let o(b) = a(b) + 3*k(b). Is o(3) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.736182 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 6 + 6*q**2 - 2*q**2 - 4*q + 4*q**2 - q**3. Suppose 0 = -3*r - 2*r + 3*v + 29, 0 = 2*v + 6. Is 27 a factor of t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*u - 1186 = 0, -q + 0*u = 2*u - 1190. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -9*d. Let l be u(-1). Suppose 4*j = -n - l, -4*j = 5*n + j. Suppose -4*b + n*r - 9 = -7*b, 2*r - 3 = -b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10632, -10634, -10636?\n\"Answer: -2*g - 10630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 216 and 20349900.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6667311619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 1, b: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -908, -1821, -2732, -3641, -4548?\n\"Answer: i**2 - 916*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 82229, 82228, 82227, 82226?\n\"Answer: -x + 82230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 + 310\/62\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v = 12*v + 12. Let c(u) be the third derivative of 1\/120*u**4 + 1\/600*u**5 + 1\/60*u**v - 9*u**2 + 0*u + 0. Factor c(z).\nAnswer: (z + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {y: 7, h: 4, x: 2}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -p**3\/3 - 393. Let v(x) = 37*x - 5. Let g(k) = -56*k + 7. Let j(q) = -5*g(q) - 7*v(q). Calculate l(j(w)).\nAnswer: -441*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**2 - 2 + 6 - 156*s**3 + 35*s**3 - 3 - 2 in the form y*s**3 + o*s**2 + g*s + k and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10402603 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*b + 88 = 0. Suppose -4*f + 34 = -b. Suppose -11 = -5*i + f. Calculate the remainder when 8 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a - y - 28 = -4*y - 4, 5*y - 156 = 4*a + 40*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 229453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 0.8. Let m = 306 + -176. Let b = m - 126. What is the smallest value in -4, n, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25952852 divided by -1\nAnswer: 25952852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 - 1885332*z - 1885330.\nAnswer: -2*(z + 1)*(z + 942665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -8. Let x = -1 + q. Suppose -w = 1 - 2. What is the lowest common multiple of w and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 q, and 1 y when four letters picked without replacement from vvxxxxpcvyxqxpp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 2:38 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*g**2 + 7*g**2 + g - 17*g**2 + (1 - 5 + 3)*(-g**2 + 0*g**2 + 2*g**2).\nAnswer: 8*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -15.4, -17, -11, -35?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 5:26 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 639655658.\nAnswer: 2, 319827829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -6 - ((14 - 12) + 86\/(-10))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(3) + -1 - sqrt(3)))**2 + -6*(sqrt(48) + sqrt(3)) - (3 + sqrt(300) - (sqrt(3) + sqrt(1728)\/sqrt(4) - sqrt(3)))**2) + -1.\nAnswer: -18*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 222 and 4334550.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = -0*u. Let t be (-21)\/6 + u\/4. Let f(c) = -2*c + 2. Is f(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/12*(17 + 3). Solve y*k - k - 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {h: 1, o: 1, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 + 12 + -138 + -131?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 z when four letters picked without replacement from eezzzeezeeeze.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 5 - 1. Let x be (-4)\/((-2)\/(-9)*q). What are the prime factors of x - (1 - 2)*1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -203718, -815193, -1834408, -3261369, -5096082, -7338553, -9988788, -13046793?\nAnswer: -16512574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1028 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l - l + 0*l)*(10 + 2 + 35 + (-1 - 3 + 6)*(0 - 2 + 0))*(3 - 4 + 2 + (0 + 4 - 2)*(1 + 2 - 1)) to the form h*l + f and give h.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f + 2*f + f)*(-5 + 5 + 2*f**2) + 52*f + 31567*f**3 - 25*f - 34717*f**3 - 34*f to b*f**3 + g*f + m*f**2 + y and give b.\nAnswer: -3146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 83*p + 6. Let c(b) = 291*b + 21. Let i(k) = 18*a(k) - 5*c(k). Let h be i(1). Let v = h + -22. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 78681182\/(-3) + (-16)\/12. Suppose 0*q = -q + 14927062. Let j = w + q. Round j to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -54051b6 - -5?\nAnswer: -54051b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - -0.6. Let x = -0.06 - -0.06. Sort m, x, -0.4 in descending order.\nAnswer: m, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t**3 + 3*t**2 + 29*t - 2. Let c(a) = -4*a**3 - 5*a**2 - 31*a + 3. Calculate 2*c(x) + 3*w(x).\nAnswer: 4*x**3 - x**2 + 25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -381 (base 15) to base 2\nAnswer: -1100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 30*w = 68*w - 1616 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -110 - 37 - 685*y**2 + 688*y**2 = 0. Calculate y.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -13*g**2 + g - 1436. Let j(t) = 25*t. Determine 3*j(q) + 2*s(q).\nAnswer: 23*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000030350305 to 7 decimal places.\nAnswer: -0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a**2 + 2*a**2 - 2*a**2)*(a - 13*a - 19*a) + 4*a - 2*a**3 - 4*a as r*a + c*a**3 + o + y*a**2 and give c.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 796009 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u = 22*u - 60. Solve u*j - 3*j = -4*r - 24, 8 = -4*r + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5314190, -10628378, -15942566, -21256754, -26570942, -31885130?\n\"Answer: -5314188*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -59a678 (base 14) in base 15?\nAnswer: -407ae1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47237 is divided by 2624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 at most -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 915 divided by 3\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3230 (base 5) to base 12.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2010650, -4\/3, -8 in decreasing order.\nAnswer: -4\/3, -8, -2010650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57592 + -34880. Let n = r - 66257\/3. Let d = n + -615. What is the common denominator of 23\/2 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by -13410617?\nAnswer: -17\/13410617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15897 divided by -5299?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 25\/2. Let f(p) be the first derivative of 0*p**3 - 2 - 5\/4*p**4 - k*p**2 + 0*p. Find the second derivative of f(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 0. What are the prime factors of 3 - (-2)\/((-2)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 PM and 12:52 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 4*s + 85130 = 0, 733*a - 735*a - 3*s = -85095. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5205 + 214625?\nAnswer: 206420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2912619*y**5 - 25513206*y**2.\nAnswer: -174757140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - ((-9 - -9) + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1435728641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -100000010011 (base 2) in base 8?\nAnswer: -4023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 220*a**2*r**2 + 36*a**2*r + 3*a*r**2 + 3*a*r + 114*a + r**2 wrt a.\nAnswer: 440*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 3849252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-34)\/(-10) + (-4)\/10. Suppose -3*g + q = -6. Let d = 3 + g. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2112021200210 (base 3) in base 12?\nAnswer: -549986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, c: 1, z: 1, a: 5}. What is prob of picking 2 n, 1 z, and 1 a?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j + 14695 = -35719. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 505 (base 6) to base 12.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -71380000 to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 + 20. Let n = 18 - 11. Calculate the lowest common multiple of n and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6142632269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14953 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 20\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -758697 + 758697 + v - 929*v**2 to the form l*v**2 + z*v + y and give l.\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + -18 - (23 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 168 and 1536?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 3*o - 0*o + 57, 0 = 3*z + 5*o - 65. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4.149  (b) 3  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/3 + 0. Let y = 25 + -20.1. Let n = y + -0.9. Which is the closest to 0.1?  (a) x  (b) n  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 3*v - 99 = 0, -3*f = -v - 71 - 26. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2243090?\nAnswer: 2, 5, 224309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -102*o + 2. Let y(x) = 9*x + 50. Calculate u(y(p)).\nAnswer: -918*p - 5098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2*t - 444, 8*a = 3*a - 4*t + 738. Let s = a - 144. Solve 0 = -s*h + 1 + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(216)\/(sqrt(18)\/sqrt(3)))\/(3*sqrt(192)) + -1)**2.\nAnswer: 2*sqrt(3)\/3 + 769\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11314546 divided by 213482?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-3)*(-4)\/20*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -56*k + 279. Put 594, k, -2 in descending order.\nAnswer: 594, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -488, 75, -5, 0.\nAnswer: -488, -5, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68\/3 - 269\/12. What is the third biggest value in n, -4\/5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 140\/3 - 47. Let x be 8\/5*6\/(-12). Sort d, -0.1, x in decreasing order.\nAnswer: -0.1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35244 + -34638. Solve -596*n + 50 = -u*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, m: 1, e: 3}. What is prob of sequence hhh?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 12 = 3. Let s = 2 - u. Let f = -13 - s. Solve 0 = -2*o - x - 5, f*o - 3*x - 3 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 243931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u**2 + 0*u**2 - 2*u**2 + 8*u**2 + 2 - 2 + (3*u**2 - 3*u**2 - u**2)*(-1 + 2 - 2) to the form s*u**2 + x*u + q and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -88*p**2 - 2*p + 154. Let g(u) = 170*u**2 + 5*u - 309. Let w(x) = -2*g(x) - 5*o(x). Differentiate w(r) wrt r.\nAnswer: 200*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 1:04 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -u + 0*u + 0*u + u + 5*u - 2*u - 28*u + 22*u - 35*u + (-1 + 1 + 1)*(u - 1 + 1) + 2*u + 2*u - 2*u as a*u + o and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v + m + 10 + 14, 0 = 8*v + 4*m - 44 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -2*v - 4, 2*h = 4*v - 15 + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -130, -132, -134, -136?\n\"Answer: -2*r - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 86.4 + 1\nAnswer: 87.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -41\/2, -2, 4, 1, -119.1, 0.1 in increasing order.\nAnswer: -119.1, -41\/2, -2, 0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 666 + -609. Let j = 18 + 20. What is the greatest common divisor of b and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 10*c - 205. Let z be s(20). Let m(r) = -7*r**2 + 5*r + 5. Let g(y) = -22*y**2 + 16*y + 16. Give z*g(t) + 16*m(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5 + 38*n**2 + 11*n - 19 - 37*n**2 - 4. List the prime factors of k(-17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*s + 2563 - 59 = -133*s. Calculate the remainder when s is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-627)\/(-22)*(-16)\/12. Let b be (-2360)\/(-760) - (-4)\/i. Find h such that -64\/5*h - 12\/5 - 5*h**b - 19*h**2 = 0.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - w + 18 = 0, -4*l + 1424*w - 1423*w - 18 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2743013 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 67*f**2\/2 - 32. Let d(b) = -b. What is x(d(c))?\nAnswer: -67*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (73 - 1197\/21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 8*o**2 - 6*o - 2. Let s(x) = 15*x**2 - 11*x - 5. Let g(i) = 2*s(i) - 5*v(i). Find the second derivative of g(m) wrt m.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(720)*1.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2307*g**2 - 2936*g**2 - 3850*g**2 to the form b*g**2 + m + y*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2013 (base 5) to base 2\nAnswer: -100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*w = 4*g - 108*w - 11, 9*g - w = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1032230 + 121?\nAnswer: -1032103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 227204 divided by 227204.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*n - 4*x = -488, 2*n + 4*x - 71 + 33 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -2047.\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-29)\/(-58))\/((-260)\/78)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -2, 12, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 718\/14 - 1022\/3577?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 216.7, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3776865 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -6*m**3\/7 + 4084*m**2\/7 - 74216*m\/7 + 47664\/7 = 0.\nAnswer: 2\/3, 18, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -453*c + 696 = -457*c. Let m = c - -194. Calculate the remainder when 79 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u + u - 14*u**3 + 3*u**3 - 2*u**3 - 2*u**2. What are the prime factors of t(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1068378 - 412469. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18571\/8 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/7 + 25023964*x - 547923927489134.\nAnswer: -2*(x - 43791937)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 4:06 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00035658203 to 6 dps.\nAnswer: -0.000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2737170 and 2?\nAnswer: -5474340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*c + 2*c + 66 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -2, 1\/3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b, -4*c - 5*b + 4 = -0. Let j(w) = -2 - 215*w + 216*w + 11*w**2 + 0 + 1. What is j(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110349857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(209)\/(sqrt(110)\/(sqrt(10)*-1)).\nAnswer: -sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-157.\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 14, t: 1, o: 2}. Give prob of picking 2 g and 1 o.\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 16550413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 37581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.443505 + 0.643505. Let y(o) = -4*o. Let l be y(-1). Let j = 6 - 9. Sort x, j, l in ascending order.\nAnswer: j, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**5*p)\/(p\/(p\/p**(-2\/55)))*((p**(-12\/7)\/p)\/p*p)\/(p\/((p\/p**(-2\/17))\/p)) assuming p is positive.\nAnswer: p**(22513\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1619775 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -3\/10*g**5 + 0 + 0*g**6 + 21*g**2 + 0*g**4 + 1\/15*g**7 + 0*g + 0*g**3. What is the third derivative of s(c) wrt c?\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11110 (base 4) to base 15\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -9*6\/(-9) - 6. What is the nearest to 0.3 in -0.3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11432951 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**9\/12096 + o**8\/2016 - o**7\/1008 - o**5\/2 + o**4\/8 - 297*o**2. Let s(i) be the third derivative of a(i). Factor s(v).\nAnswer: -5*v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9080, 18221, 27472, 36887, 46520?\n\"Answer: 9*j**3 + j**2 + 9075*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 150*s**2 - 2987*s + 4636. Determine z(-126).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 75771693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 + 12236\/(-399))\/((-4)\/120).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 57dd (base 14) to base 9\nAnswer: 22865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**2)**(-26)\/((z*z\/((z**(-7\/3)*z)\/z*z)*z)\/z*z**2)*((z**(-3)*z)**(-28))**(-50) assuming z is positive.\nAnswer: z**(-8572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 7*v + 2. Let u(b) = -b**2 + 3*b + 27. Let t be u(11). Let z = t - -67. Let m be j(z). Solve 4*g + 8 = -m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 3:17 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 1888*p + 18979. Determine i(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20192884104 - 20192884104 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 8*h**2 - 2*h. Suppose 2*w + 3 = -5*p + 1, 2*p = w - 8. Let g be n(p). Find the common denominator of 325\/g - (-14)\/63 and -85\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -21*u - 144 + 34 + 22 + 4*u. Calculate the least common multiple of s(-8) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, p: 1, i: 1}. What is prob of picking 1 i, 1 j, and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.14, -7, 5 in decreasing order.\nAnswer: 5, -3.14, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = 5*u - 5 - 19, -5*k + 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*i**2 + 7*i - 8*i + 2*i + i**2 + 3*i**2 - 5*i**2 + (-4*i**2 + 4*i**2 + i**2)*(-4 + 2 + 0) - 32*i**2 + 21*i**2 + 39*i**2 - 1.\nAnswer: 35*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 + 0*x**3 + 2*x**3)*(15*x**2 + 2*x**2 - x**2 - 7*x**2).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -38422?\nAnswer: 2\/19211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -38  (b) 2\/13  (c) 9861.416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 - v. Let q(y) = -3*y**2 - 6*y. Determine -2*h(s) - q(s).\nAnswer: s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16380 and 1199898?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17427 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**4*o**8*o\/(o**6*o)*o*o**(1\/4)*o**6\/(o\/((o\/o**(-3\/4))\/o))*o**(-6)\/((o**(1\/6)*o)\/o*o) assuming o is positive.\nAnswer: o**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 84547 - 701?\nAnswer: 83846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 2009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) -5  (b) 0  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18417065620 - 18417065620 + 1622*a**3.\nAnswer: 1622*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 11*u**2 - 16*u**2 + 44*u**2. Let q(b) = 2*b**2. Determine q(m(z)).\nAnswer: 3042*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c + 23*c = 22079 - 22451 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2))**(2\/73)\/(v**(-1\/7)*v\/(v\/(v*v**(-2\/7)*v))) assuming v is positive.\nAnswer: v**(-831\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1200 = -307*b + 357*b. Let l(k) = 23*k**3 + 5*k**2 + 5*k + 5. Let d(w) = -114*w**3 - 24*w**2 - 24*w - 24. Give b*l(f) + 5*d(f).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148, -87, 80, 407, 948, 1757, 2888, 4395?\nAnswer: 6332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4 = -p, -4*i - 2*p + 15 = 3*p. What is the remainder when 13 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1 + -4 + -3*(((sqrt(567) - (sqrt(567) + -3*1*sqrt(567))) + (1*sqrt(567)*5 - sqrt(567)))*5)**2.\nAnswer: -2083727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + a + 22, 0 = 41*f - 42*f + 3*a + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of -45*v**4\/2 - 2*v**3\/3 - v**2 - 233*v + 4. Find the second derivative of r(l) wrt l.\nAnswer: -540*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3868665435.\nAnswer: 3, 5, 17, 23, 73291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(3744) + -5*sqrt(26)*1)\/(((sqrt(48)*-3)\/sqrt(3))\/sqrt(8)))**2 + 2.\nAnswer: 10951\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 12:35 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -1\/1632, 0 in descending order.\nAnswer: 1\/3, 0, -1\/1632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 9*p**2 - 8*p - 12. Let h(y) = y**2 - 130*y + 1197. Let l be h(10). Calculate c(l).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-81)\/(-6))\/((-9)\/(-1776)). Let u = q - 1867. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.05 + -3.05. Suppose 0 = -4*p - 0*p. Which is the third smallest value?  (a) r  (b) 2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.016 + 0.316. Which is smaller: h or -19\/4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50370 (base 8) to base 12.\nAnswer: bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 - 24. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from xucunuuuxiuauxxcx?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**4\/4 - o**3\/3 + 2*o - 1. Let i be w(0). Calculate the greatest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 34\/2999 or -11430?\nAnswer: 34\/2999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1951844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/6 and 79\/76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*f + 241 - 176 = 3975 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r**3 - 3*r**2 + 1. Let c be b(2). Suppose -5*g + 65 = 5*n, -2*n = -5*g + 4*g - c. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/4  (b) -4  (c) -2  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -1  (b) 1412\/289  (c) -1.4  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*z + 16*z - 6*z to the form c + h*z and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -s - 3. Suppose c - s + 26 = 0. Do -2\/13 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06549575 to three decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0157216l to millilitres.\nAnswer: 15.7216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 28 = 4*x, 3*m - 5*x + 21 - 29 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -f + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**3 + 3*l**3 - 2*l**3 + (-2*l**2 - 4*l + 4*l)*(-288 + 310*l - 263 + 554)*(1 + 1 + 1) to the form x + b*l**3 + s*l**2 + g*l and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1)*g**(-4))\/(g**0\/((g*g\/(g*g*g\/g**(-3\/2)))\/g*g))*((g\/g**(-6))\/g*g\/(g\/(g**(-1\/9)*g)))**(10\/13) assuming g is positive.\nAnswer: g**(-515\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -136.12, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1209009 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -2*p - 7 + 1, -2*r + 20 = 5*p. Suppose 5*s = r*t + 5, 14 = -t - t + 5*s. What is the first derivative of t*a**3 + 1 - a**3 - 3 wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 4*w**2 - 7*w + 7. Calculate t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 930.963 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/5  (b) 4\/7  (c) -0.5  (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 803*f**2 + f. Let z be q(1). Suppose -154*s + 213 + 2097 = 0. Suppose -3579 = -s*y - z. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**2 + 3*d**2 + 3*d**2. Let k(h) = 32*h. What is q(k(v))?\nAnswer: 2048*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g. Let k(i) = 5*i + 11. Calculate k(j) + 2*q(j).\nAnswer: j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 12 = -t, -3*t = -a - a + 16. What is the remainder when 22 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence omg when three letters picked without replacement from {m: 3, g: 4, c: 1, o: 2, x: 1, i: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.9757 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - s**2. Let i be k(0). Suppose i = -0*c + c. Let y = -0.17 - -0.07. What is the nearest to y in -2\/7, c, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/252*-9 - (-43)\/4. Solve -m - 3*t + 14 = 0, -2*m + v + 11 = 4*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f**3 - 15*f**2 + 15*f + 17. Let v(u) = 2*u**3 + 5*u**2 - 5*u - 6. Suppose -5*z - 8 = 4*t, -779*z + 4*t + 16 = -782*z. Determine z*j(m) + 11*v(m).\nAnswer: 2*m**3 - 5*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23379.\nAnswer: 3, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -1\/60*g**6 + 0*g - 42*g**2 - 8\/3*g**3 + 0*g**5 + 0 - 1\/24*g**4. Let y(l) be the first derivative of d(l). Give y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -g**5\/12 - 10*g**2. Let i(n) = 3*n**2. Calculate i(u(h)).\nAnswer: 75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 211 in 0, -4, -11798, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2381753101.\nAnswer: 7, 13, 43, 608677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -123420 - 231?\nAnswer: -124051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 45*w - 1763. What is n(40)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 - -18. Let z = 19763287 - 19763303.000137. Let y = z - o. Round y to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -3, 2 = 2*w - 4*n + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 0 - 2 + 16*f + 18*f**3 + 2*f**4 - 22*f**3. Let m(r) = 2*r**4 - 4*r**3 + r**2 + 16*r - 1. Let o(d) = 6*m(d) - 7*n(d). Suppose o(j) = 0. Calculate j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 8*z**2 - 4*z - 9. Determine x(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 12:28 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4934 rounded to two decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1565315 and 570.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 26*s + 17. Let c(g) = 165378*g. Calculate c(o(z)).\nAnswer: 4299828*z + 2811426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -13867152.\nAnswer: -1\/4622384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 228.2399ml?\nAnswer: 0.2282399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28077553.\nAnswer: 7, 1319, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64 + -53. Suppose 5*r = 3*x + 28, -6*x - 19 = -2*x - 3*r. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -182 divided by 4\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 64496.\nAnswer: 1\/64496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (3 + sqrt(720)*-1 + 3*-2*sqrt(720) + sqrt(720))**2 + 3*(sqrt(720) + 0 - sqrt(720))*-5.\nAnswer: -432*sqrt(5) + 25928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g = -21*g - 8250. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -5. Suppose 4*y + 3 = -5*p, 0*y + p = 4*y + 9. Let g = -14 - -15. Sort s, y, 2, g in descending order.\nAnswer: 2, g, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -342*w - 2045. What is q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 10*m - 7. Let b be x(-8). Let h(o) = 5*o**3 - 4*o**2 + 4*o + 4. Let i(c) = 11*c**3 - 9*c**2 + 9*c + 9. Calculate b*h(w) - 4*i(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2968 and 6048.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 439*y**2 - 438*y**2 - 17 + 17.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 5*s**2 - s - 4. Let k be i(3). Let n(y) = 4*y**2 - 23*y - 1. What is the hundreds digit of n(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 8228*z**2 + 5986*z + 9. Let c(b) = 8225*b**2 + 5987*b + 8. Let r(v) = -9*c(v) + 8*y(v). Find the second derivative of r(f) wrt f.\nAnswer: -16402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 27*p**2 + 42*p + 10. What are the prime factors of a(8)?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.5+-0.63\nAnswer: 8.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 85.40748 meters?\nAnswer: 85407.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/((-7)\/18) + -2. Suppose z = -10*i + 14*i + 144, 2*i = -z + 120. Calculate the greatest common factor of z and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00270974 to six dps.\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -72 + 266. Suppose 0*w + 3*b - y = -2*w, -w + 90 = 5*b. What is the highest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*c - 12*c + 5*o - 260, c - o - 44 = 0. Put c, 4, 1 in decreasing order.\nAnswer: c, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 970*m**2 - 838*m**2 - 3338*m**2 - 4897*m**2 + (-3*m + 4*m - 3*m)*(-m - 3*m + 3*m).\nAnswer: -8101*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 80 = -5*n, 4*n + 0*n + 44 = -4*p. Let b be p\/(-35)*(-4)\/6. Let v = -0.5 - -0.3. Is v at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 11:29 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 792 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/7, -0.01, 5, -23354?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (1\/1 - (5 + -2)). Let w be (-5 - (4\/l - 5))\/2. Solve 0*h + w = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 6 = -2*s, -58*s + 59*s + 3*p = 3. Solve 0 = j + s*d + 5, -2*d + 1 = 4*j + 3*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 858797.\nAnswer: 23, 37339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-1*sqrt(320) + 2 + (sqrt(320) + 1)*2 - (4 + sqrt(320) + (-2*sqrt(320) - sqrt(320))**2 + 4)).\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -3261951.\nAnswer: 3261951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4122.9 less than -0.1?\nAnswer: -4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9548, 19103, 28658, 38213, 47768?\n\"Answer: 9555*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 40195807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2128*j**3 - 1207*j**3 - 892*j**3 - 469*j**3 - 561*j**3.\nAnswer: -5257*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 - z**2 + 0*z**2)*(-2*z + z + 3*z)*(2 - 3 + 2).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13711513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**3 + 2*v**2 + 5*v + 4. Let f be i(-1). Let -335*a + 105*a**2 - 234*a**f + 569*a**3 + 15*a**4 + 10*a**4 - 130 = 0. What is a?\nAnswer: -13, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + 2*(sqrt(99) + ((sqrt(99) - (-1*sqrt(99) - sqrt(99))) + sqrt(99) - sqrt(99))))\/(4*sqrt(9)*-1).\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 295313393171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(3\/6)\/1. Suppose 3*p + 3*k = v, 3*k = -6*p + 2*p - 2. Let h be 28 - (1*p - 0). Calculate the greatest common divisor of 45 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 304456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -1. What is the remainder when q is divided by -14*(-21)\/2940 - (-69)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.44, 2\/5, 6.5973 in increasing order.\nAnswer: -0.44, 2\/5, 6.5973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1266 - -3796\/3. Which is the nearest to 1\/2?  (a) -42  (b) v  (c) 1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of n**8\/20160 - n**7\/2520 + n**5\/60 - 2*n**2. Let k(s) be the third derivative of x(s). Does 12 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 5.464854 grams?\nAnswer: 0.000005464854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 156 and 13?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 24  (b) 8  (c) 0.13  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 30*z - 68. Let o be w(-2). What is the closest to -1 in 0.2, o, -835, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18876 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cwpppcpwp. Give prob of sequence ccpw.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j. Let d(i) be the first derivative of 4*i**3\/3 + 8. Determine s(d(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1454, 1359, 1264, 1223, 1290, 1519, 1964, 2679?\nAnswer: 3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.027327 less than -0.0353?\nAnswer: -0.007973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82 - 82. Suppose a - 23 + 24 = t. Let g(q) = -q + 1. Suppose 0 = 2*p + 5*m + 16, 3*p + 4*m + 8 = -9. Let f(h) = 4*h. Determine a*f(w) + p*g(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0949476 + -0.09539. Round k to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 221?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m = -1067 - 499. Let y = 425 - 719. Let o = m - y. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2562 - 2312. Is 35 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.288 + -0.1745.\nAnswer: -9.4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2c208 (base 14) to base 10\nAnswer: 110160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and -11.61768?\nAnswer: 13.61768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 165 - 252. Let g = k + 92. Solve -5 = g*r - 3*f, r = -r + f - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (11 - 13) - (5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2820 + 2820.2. Which is smaller: 2\/67 or w?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/13)*n*n**14)\/((n*n**(-1)\/n*n*n)\/n**(-1\/16)) assuming n is positive.\nAnswer: n**(3139\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -157 - -160. Suppose 0 = 5*t + d - 56, -2*t + j*d = -3*t. Calculate the greatest common divisor of 28 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**2 - 128*k - 6. What is the lowest common multiple of o(48) and 20?\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2366 - -2372. Let h(u) be the first derivative of u**3 + 7\/2*u**t + 0*u - 18 - 3*u**2 + 57\/5*u**5 + 45\/4*u**4. Factor h(k).\nAnswer: 3*k*(k + 1)**3*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + x = 1, -c - 3*x = -5*x + 7. Suppose -17 = -4*n - a, 4*a + 4 = 2*n - 18. Suppose n*s = -18 + 53. What is the lowest common multiple of s and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.18 - 0.22. Is -1\/15 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 256109321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of 28 + 0*z + 1\/40*z**6 - 17\/20*z**5 + 10*z**4 - 32*z**3 - 2*z**2. Factor h(p).\nAnswer: 3*(p - 8)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**3 + 258592*u**2 + 3879844*u - 4138432 = 0 for u.\nAnswer: -16, 1, 64663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 33, -0.1, 4, 165, 1\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.065 - -0.065. Let d = 71 - k. Let w = d + -71.16. What is w rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 947 - 6131 = -8*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.648 - 0.648. Let u = -44.9 + 48. Let t = u + -0.1. Which is the nearest to -1\/3?  (a) s  (b) t  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42658601.\nAnswer: 42658601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 + -21. Let g = -19 + d. Let m be g\/(-28) - (-7)\/49. Which is the nearest to 0.2?  (a) -2  (b) 0  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*m**3 + 0*m**3 - 13*m**3 + 5*m**3 + m**2 + 28 - 7*m**6 wrt m?\nAnswer: -840*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y**3 - 235059*y**2 + 921419289*y - 4233556341 = 0. What is y?\nAnswer: 23\/5, 7833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18*z + 343 + 1650 - 151)*(-2*z + z + 0*z)*(2 + 2 - 2) to the form s*z**2 + c + n*z and give n.\nAnswer: -3684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 1501*z - 567*z + 3 + 179*z in the form b + u*z and give u.\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2070835.3634 and 2?\nAnswer: 2070833.3634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193300573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 2:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of -13*h**3\/3 - 3*h**2\/2 + 1. Let a(t) = 2 - 59*t + 2 - 4 + 61*t + 0. Determine a(w(p)).\nAnswer: -26*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 9 - o - 5 + 1 + 9*o**2 - o**3 + 4*o. List the prime factors of i(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**3 + 118*u**2 + 667*u - 286 = 0 for u.\nAnswer: -13, -11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4937 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 20772?\nAnswer: 228492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9866 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.19 - 1084.6\nAnswer: -1084.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4775303*f**3 + 32 + 2387650*f**3 - 32 + 2387650*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (19\/855)\/((-658)\/(-2538))?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 465 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) 0  (c) -2  (d) 1\/8  (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*k = -4*k - 2684. Let g = k - 58. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 169 - 986.\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5*t - 4 = 0, 5*p - p - 9 = 3*t. Sort p, 2, -11 in increasing order.\nAnswer: -11, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 1:35 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 629*m + 2195 = 96*m + 7525. Solve m*n = -n - 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 0*g**2 - 3*g**2)*(0 + 3 - 5 + 3*g)*(10 - 17 - 15)*(-8*g + 14*g + 3*g)*((1 - 2 + 3)*(3*g - 3*g - 2*g) + g + 0*g + g).\nAnswer: -3564*g**5 + 2376*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 60 + -234. Let q = -173.917 - a. What is q rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2088 and 8984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 10*b + 6. Let a be q(6). Let n be (-2)\/(-8) - a\/8. Let c = n - -11. Solve 2*m + c*m - 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, -18, -104.\nAnswer: -104, -31, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 3399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3916 and 4242986?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14141 and 895?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -68 - -96. Let b = k + -20. Let y be (-39)\/(-15) - b\/(-20). Solve -4*c + 20 = g, y = -5*c - 3*g + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 18, 2\/7, -1, 0.2, 12, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -64681.04 to the nearest 100.\nAnswer: -64700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -39317 divided by 6\nAnswer: -39317\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -7*h - 92. Give f(-31).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1 - 2*p**2)*(-p - 2*p + 2*p)*(-155 - 60 - 65).\nAnswer: -560*p**3 - 560*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 29 - -170?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/90)\/((-4)\/16)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*o = -60*o + 10. Which is greater: o or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/(-28))\/(9\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4656091661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2516 + -2505 - (-1 - (-1 + -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 150.9 + -165. Let y = -16 - q. Let i = -2.9 - y. What is the third smallest value in i, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31870897621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*(sqrt(228) - (sqrt(228) - sqrt(228)*-3 - sqrt(228) - sqrt(228))))\/(sqrt(48)*2*-5).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 6:57 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*l + 55*l - 110 = -4*n, 0 = -2*n + 11*l + 34 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 689339.\nAnswer: 7, 19, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (10 - (-1 + 7 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17716465 or -0.1?\nAnswer: 17716465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 111 - 111 + j + 3*j**2 + 0*j**4 - 3*j**4 as m*j**2 + s + b*j**4 + v*j + c*j**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - (-16)\/(-40))\/((-1)\/10). Let h(o) = 36*o - 23. Let t(q) = 143*q - 91. Let j(w) = 9*h(w) - 2*t(w). Is j(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/57 and 37\/2142.\nAnswer: 40698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 306175495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-33)\/(-22))\/((-9)\/(-60)). Let w be 60640\/48*g*3. What is w rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*x**3 - 37*x**3 - 34*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.15452 from -1.00086.\nAnswer: -0.84634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 5*j**2 - 7*j. Suppose 174*s - 177*s = -39. Calculate the remainder when z(-5) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3882 = -3*s + 4*a, 2*s - a + 1315 = 3898. What are the prime factors of s?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 122\/10 - 3\/15. Suppose l = 4*c - 4. Solve -4*w + 3*d - 17 = -0*w, -4*d = c*w + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 189118711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 10, f: 4, n: 1, w: 5}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.17 - -0.03. Which is the second biggest value?  (a) j  (b) -0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*s**2 - 30*s**2 - 31*s**2 + 2*s**3 - 1 + 127*s**2 - 33*s**2 + 30*s - s**4 in the form r*s**4 + v*s**3 + j*s**2 + h*s + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 245, 961, 2151, 3815, 5953, 8565, 11651?\n\"Answer: 237*i**2 + 5*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/864 and 37\/54.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 72*d**4 + 8859*d**2 - 75*d**4 - 8860*d**2 + 3*d**3 + d**5 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - -1) + (-21)\/1512*808?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 5*k**3\/2 + 135899*k**2 + 163075*k\/2 - 54359 = 0.\nAnswer: -54359, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 598 a factor of 8863288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2328 and 642873.\nAnswer: 645201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of b**5\/20 - 5*b**4\/4 - 11*b**3\/2 + 3*b**2 - 14. Determine r so that p(r) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -3*k + 1484, -o + 1235 = 4*k - 250. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -290282*b**2. Let w(t) = -45*t**2. Calculate w(z(q)).\nAnswer: -3791863778580*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7 - 20\/(-5))\/3. Let x = 295 + -3247\/11. What is the nearest to x in 0, f, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2352\/(-399) + (9\/3 - -3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 124074 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14203.\nAnswer: 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-1))\/(1\/(-24)*6\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 34*r + 92. Let f be q(-37). Let x be (12\/(-42) + f\/7)\/(-3). What is the nearest to 0.2 in -10, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, r: 1, z: 1, v: 1, i: 2, h: 1}. What is prob of sequence zvh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 + 9*i**3 - 8*i**3 + 10*i**3 - 15*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.011354623 to 5 decimal places.\nAnswer: -0.01135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 0 + sqrt(243) + 1 + sqrt(243) + sqrt(243))**2 - sqrt(3)*1*4*-6*-1.\nAnswer: -24*sqrt(3) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -8. Let m = -3 + q. Let f be 1*(1 + m + 1). Solve -3*d - 7 = j + 4*j, -2*j + f*d = 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6574 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 87319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -b (base 16) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1184 is divided by 1118?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10398 + 12891. Calculate the greatest common factor of h and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(-3)\/(-18)*3. Suppose 0 = f - v, -2*f = -p + 65 - 11. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34789 greater than 3931026\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 111, 181, 251, 321, 391, 461?\n\"Answer: 70*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -22 + 2*f + 22. Let h(u) be the second derivative of u**6\/360 - u**3\/6 - u. Let g(o) be the second derivative of h(o). Calculate x(g(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 21*p**2 + 5*p + 3*p - 4 - 7*p - 210*p**2. Let q be j(-3). Does 39 divide 2*(-2)\/(-22) + q\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -124 + 24*c + 277 - 106. List the prime factors of v(9).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*w - 5*z + 6*z + 419, -4*w - 3*z = -227. Suppose -w*r + 32831 = -41846. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1584058 - -38?\nAnswer: 1584107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(99) + sqrt(99)*2 + -1 - ((2*sqrt(99))**2 + -4)).\nAnswer: -391 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 1 + o**3 + 6.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 264316.5847 less than 0.5?\nAnswer: -264316.0847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -461.76 or 2741?\nAnswer: 2741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -65*t + 38 wrt t.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -932*y**3 + 3*y + 1145*y**3 - 1324*y**3 - 1518*y**3 - 984*y**3.\nAnswer: -3613*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + ((sqrt(162) - -2*sqrt(162)) + sqrt(162))*5)\/(sqrt(6) + sqrt(486)*-1).\nAnswer: -63*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 36?  (a) -4.16  (b) 0.4  (c) 4\/9  (d) 1  (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 601 + -1705. Suppose -186*f + 2137 - 91 = 0. What is the remainder when (-2)\/(-5) + k\/(-15) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-31)\/(1085\/7))\/((-1)\/1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 8 + 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 7*v - 6, 5*v = 3*t - 39897. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2769787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(4\/3)*b*b**1\/b)**23\/(b**(-2)*b\/(b*b*b**(-7)))**(-1\/25) assuming b is positive.\nAnswer: b**(1162\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 times 0.04577203\nAnswer: -0.0027463218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**5 - 2*p + 2*p + 2*p**5 + 5*p**5 - 5*p**5 + (-2 + 2 - p**2)*(4*p**3 - 3*p**3 - 3*p**3) + 4*p**5 + p**5 - 3*p**5 + 3*p**3.\nAnswer: 7*p**5 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1031274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-6)*(3852\/428)\/(-14*3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0164 and -0.126?\nAnswer: 0.1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -24. Solve n = -4*s + 6 - 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2\/7  (b) -12  (c) -2.6  (d) 10\/11  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 7. Let h be m(6). Let j(w) = -w - 1. Let y be j(-2). Let a = y - h. Solve -2*u + a = 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*i + 3*i + i)*(-99 - 38 - 72) - 1 + 1 + 7*i in the form w + l*i and give l.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -37 + 32. Let c be (-2)\/3*p + 16\/3. Let s be 5 - 21\/(-6)*c\/(-7). Solve -3*y + s*y = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51117591 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -281 - -276. What is the biggest value in -0.5, x, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 5*r + 91 = -31, -4*r = -v + 68. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1388*r**3*v**3 - 7*r**3*v**2 + 9*r**3*v - 6*r**3 + 12*r**2 + 2*r*v wrt v.\nAnswer: 8328*r**3*v - 14*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/14 + (-24)\/(-14). Let v(x) = 2*x**d - 3 + 0*x - x**2 + 4*x - 2*x**2. Let h be v(3). Solve -5*t - 4*w = 22, h*w - 9 = 3*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 461.95218ms to hours.\nAnswer: 0.00012832005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -s, -p - 2*s - 20 = -4*p. Determine k, given that 6*k**4 - 15*k**2 + 4*k**3 + 8*k**4 - k**3 - 5*k**p - 3*k + 6 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6435427.\nAnswer: 173, 37199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - 2*w. Let h be k(2). Let y = h - -11. What is the first derivative of -2*g**3 + y - 6 + 2 wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 298*c + 2376. Calculate d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2 + 204*b - 594 = 0 for b.\nAnswer: 3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5*(-18)\/(-30))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, -3, -5, 2\/9503, -0.06?\nAnswer: 2\/9503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3.5 times 0.12\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4 = -x. Let g(a) = 5*a**2 - a - 1. Let w be g(x). Let l = -15892 + 15897. Solve -4*p + 0 = -w*t + 5, -l*t = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1011\/344 - -11\/172. Let y = t + -229\/8. Find the common denominator of -107\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -860*q + 5238. Give s(8).\nAnswer: -1642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 631, 0.6, 3, 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 284453 + 109551 = 0. Suppose -4*u = 7968 - o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 218 + -212. Suppose 4*y - 9 - 15 = 0. Suppose 4*s + 3*d = -4, -6*d - y = s - 4*d. Solve 0 = -s*j - g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -71 + 83 + (-9)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7149 is divided by 104?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*p**2*s*u - p**2 + 5*p*s*u + 111*p*u + p - 5*s*u wrt s?\nAnswer: -6*p**2*u + 5*p*u - 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 9*g**2 + 7*g - 5. Let u(j) = -5*j**2 - 3*j + 3. Let d be (-6)\/21 + (-47)\/7. Let p(n) = d*u(n) - 4*x(n). Calculate p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32811.09 nanograms to grams.\nAnswer: 0.00003281109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**1\/((j*j**(3\/8))\/(j**(-1\/6)*j)) assuming j is positive.\nAnswer: j**(11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1405560 a multiple of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9986.3 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a factor of 453349710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 4:51 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 7*q**2 - 9*q - 10. Let j = -17 + 10. Is g(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18*-10*13\/(-1950))\/(33\/(-15)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6750111 is divided by 167.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 1. Let x = 77 - 71. Let o(j) = -4*j**2 - 18*j + 46. Let r(s) = x*c(s) - o(s). Find n such that r(n) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 583879.8 litres?\nAnswer: 583879800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*((-10)\/(-3))\/(-2). Let r(d) = d + 4. Let y be r(b). Calculate the remainder when y\/21 + 940\/28 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2100013 (base 4) to base 3.\nAnswer: -110122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -525718285 - -525718547.801397. Let l = b + -1344.807527. Let c = l - -1082. Round c to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of z**7\/1680 - z**6\/240 + z**5\/30 - 3*z**2. Let f(u) be the third derivative of s(u). Differentiate f(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 8 = 4*x, -4*a - x - 10 = -29. What is the second biggest value in a, -2\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 12:36 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3229*m**2 + 15*m + 7. Let y(l) = 4844*l**2 + 24*l + 11. Give -8*q(g) + 5*y(g).\nAnswer: -1612*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -151*w + 153*w - 3*x, x + 13 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g + 1. Let v(t) = 3*t + 4. Calculate 6*a(c) - v(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 AM and 1:24 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19690*t**2 - 9845*t**2 - 9838*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 10*r + 6. Let j(y) = 24*y**2 - 232*y - 136. Let w(u) = -3*j(u) - 68*l(u). Let v(q) = 2*q. Calculate v(w(d)).\nAnswer: -8*d**2 + 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3080 - -9242\/3. Which is the second biggest value?  (a) -0.5  (b) 41  (c) f  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**6*c**(1\/12)*c assuming c is positive.\nAnswer: c**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 4*g**2 + 3*g - 7. Let o be r(-5). Solve -f = 4*w - 7, o*f - 3 - 3 = 3*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4 = 19*h - 18*h, 6*h - b + 9 = 0. Let u(p) = p - 2 + 2 - p**2 - 1. Let x(v) = 2*v**3 + 4*v**2 + v + 3. Calculate h*x(f) - 3*u(f).\nAnswer: -2*f**3 - f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -680*c - 793*c + 20186 = 351*c - 80134 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/331 < -37\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*x**3 + 663*x + 656*x - 1319*x.\nAnswer: -45*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/353 and -68\/57?\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of 0*f**4 - 36 + 0*f**3 - 138\/5*f**5 - f**2 - 10*f. Find the second derivative of r(y) wrt y.\nAnswer: -1656*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 858607481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 (base 15) in base 7?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*o + 3*l, -o + 9 = 3*l - 2. Let x be 0 + o + 45\/60. Which is the closest to -1?  (a) x  (b) -0.4  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22345045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 57*a**2 + 2*a + 6. Let t(n) = 73*n**2 + 3*n + 5. Let l(q) = 4*k(q) - 3*t(q). Let x(p) = 3*p + 2. Let m be x(-2). What are the prime factors of l(m)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/3))**(-48)*(d**(-1\/3)*d)\/((d*(d\/(d*d\/((d\/d**(-2\/13))\/d*d*d*d*d)))\/d)\/d)*((d**(-1\/2)\/d*d)\/d*d)**(-6)*d**(-4\/9)\/d**6 assuming d is positive.\nAnswer: d**(-4321\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4478 + -12?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, s: 11}. Give prob of sequence css.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*((m\/m**(2\/7))\/m*m)\/m*m)\/(m**4\/m*m))\/((m\/m**(1\/4))\/m**(-11)) assuming m is positive.\nAnswer: m**(-393\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3320?  (a) 4  (b) 3.9  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j. Let z(b) be the first derivative of b**6\/40 + b**3\/3 + 25. Let l(s) be the third derivative of z(s). Give a(l(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 1043 divide 1459914218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 76)*(8 - 7). Let k = o + 8. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g*j*r**2 - 31*g*r**3 + 16*g*r + 4*j*r**3 - 10*j*r wrt j.\nAnswer: -2*g*r**2 + 4*r**3 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)*1*-2)\/(sqrt(6) + sqrt(72)\/sqrt(3)) - (((sqrt(91) - (sqrt(91) + 1*sqrt(91) + sqrt(91)))*2)\/(sqrt(140)\/sqrt(5)))**2.\nAnswer: -52 - 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 16*i**2 - 63*i + 953. What is the thousands digit of x(38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 243 - 243. What is k in 0*k + 0*k**3 + 1\/2*k**4 + z - 1\/2*k**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - -2 - (2 - -4). Sort n, 3, 4 in ascending order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.3 and -55.800364.\nAnswer: -55.500364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -125*h*n**2 - 2372*h*n + 4*h + 2*n**2 - 11*n - 49329 wrt h.\nAnswer: -125*n**2 - 2372*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 123 + 120 = -3*t, -t + 4*u + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*i + 250 = 418 - 256 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v**2 + 9195*v + 36860 = 0. What is v?\nAnswer: -4, 1843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 5:33 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 18 = -a. Let s be (a\/1)\/3 + 42. Calculate the common denominator of -19 and 9\/s - (-398)\/(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 5*u - 11 = 0, 0*u - 5*u = 4*i + 7. Find l, given that -3\/2*l**3 + 0 + l**i + 1\/2*l**4 + 0*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.34 - -3.4. What is the second biggest value in 2, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 + 386*l**2 - 1229*l**2.\nAnswer: -843*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1 + (sqrt(19) - (sqrt(57)\/sqrt(3) - sqrt(19))))**2 + sqrt(19)) + -5.\nAnswer: 9*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 664*s - 94*s + 65703 = 27*s for s.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 6*c - 2*c)*(2*c**2 - 5*c**2 + 2*c**2).\nAnswer: -4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 + -13. Suppose 0*d + 3*d = 18. Calculate the greatest common factor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 2:12 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k - 14*k - 150 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 7:01 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {z: 9, d: 5, v: 2}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 - 43. Put c, -2, 4 in decreasing order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 2*x - 7. Let c be d(8). Let a = c - 41. What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a**3 + a**2 + 5. Let q(y) = -2*y**3 - 7*y**2 - 7*y - 2. Let g(w) = -w**3 - 3*w**2 - 3*w - 1. Let p(l) = 7*g(l) - 3*q(l). Give -b(f) - 5*p(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -298, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 - -34. Let h = 901\/9 + -100. Is h greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33.48 - -0.01.\nAnswer: -33.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x + 2 = 4*x + g, -5*x - 2*g = 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/12*101967\/3316.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 10 = 4*p, 2*i - 7 = -3*p - 0*i. Suppose -5*d = t - 31, 13*d - 5*t = 16*d - 23. Solve -p*m + d = -f, m + 2*f = 14 - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0059603695 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, -61763 in increasing order.\nAnswer: -61763, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4637064 and 2928672.\nAnswer: 55644768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1346580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -105\/22?  (a) -4\/5  (b) -4  (c) 3  (d) -1  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 591.248cm in kilometers?\nAnswer: 0.00591248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + r = 8. Suppose m = -m + r. Let t(q) = 24*q - 160. Let d be t(7). Solve m*h + 0 + d = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a**3 - 117*a**2 + 937*a + 69. Give j(-46).\nAnswer: 1403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b3878 - -4?\nAnswer: -b3874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -57 + 173 - 68 - 71 - 85*n as g*n + t and give g.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c4 - 5?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 6:44 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -173123.7955 to the nearest 1000.\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.773754um in kilometers?\nAnswer: 0.000000009773754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/29  (b) -1\/4  (c) -4  (d) 4  (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -2, -26 in descending order.\nAnswer: 3, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 5 - 1)*(4 + 1 - 3) - 1 + 5 - 3)*(8372*l + 34569*l - 5335*l)*(3 + 1 - 2) to t + y*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 3*f + 19 = 0, 0 = -914*i + 917*i + 5*f - 28. Let x(u) = -53*u**2 - 5. Let s(z) = -1. Determine i*x(q) - 5*s(q).\nAnswer: -53*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -203*j + 101*j + 126*j as t + x*j and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/6301256 and -95\/156.\nAnswer: 18903768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -5*n - 1. Let u be p(-1). Suppose 5*d = -3*w + 39, 4*w - 12 - 40 = u*d. Do 13 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -527 - -532. Let d = 0 + -5. Which is the smallest value?  (a) d  (b) i  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 0, 0 = -5*v - 5*t - 51 - 9. Let q = v + 7. Sort 24, 3, q.\nAnswer: q, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or -4\/127?\nAnswer: -4\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (3 - 3)) + 0 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -5501*j + 22026. What is l(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6636*n + 3 - 5855*n - 7166*n - 784*n - 2.\nAnswer: -20441*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 8 = -4. Let m(x) = x**3 + x**2 - x. Let s(y) = 3*y**3 - 4*y**2 - y - 5. Let b(l) = 2*m(l) - s(l). Let o be b(r). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 4. Let t = h - -33. Let g = t - 68.00000043. What is g rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8d + 2?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of 1\/6*q**3 + 0*q**2 + 0 - 2*q. Let u(j) be the second derivative of -j**3\/6 - j. Give u(n(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -51 - -57 - (-4 + 5 + 1 + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -335*s**2 - 2*s + 4. Let y(c) = 345*c**2 + 3*c - 5. What is 5*m(f) + 4*y(f)?\nAnswer: -295*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -54.4883691 and -8769.\nAnswer: -8823.4883691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 491282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -15*l - 1508. What is i(-102)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*s + 0*s**2 + 567*s + 114*s**2 + 102*s**2.\nAnswer: 216*s**2 + 709*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + sqrt(192))**2 - -4*(sqrt(3) - 6*(sqrt(3) - -3*sqrt(3)))**2.\nAnswer: 16*sqrt(3) + 6536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2*g**4\/11 + 318*g**3\/11 - 248*g**2 + 4152*g\/11 + 7200\/11 = 0.\nAnswer: -1, 4, 6, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101446 (base 7) to base 9.\nAnswer: -225202","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwmxmmmmv. Give prob of picking 1 x and 2 v.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 9:10 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -132, -264, -390, -510, -624?\n\"Answer: 3*z**2 - 141*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000015722 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(-56) + 29\/7. Let a(c) = -4*c**3 + 8*c**2 + c - 10. Let h(n) = -5*n**3 + 9*n**2 + 2*n - 12. Let f(x) = 4*a(x) - 3*h(x). Calculate f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -10*b**3 + b - 137. Let a(d) = -20*d**3 + 2*d - 274. Let w(r) = -3*a(r) + 5*t(r). Differentiate w(g) wrt g.\nAnswer: 30*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lltlllllllhlllthh. Give prob of picking 1 t and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 415*m**3 - 2*m - 6. Let s(v) = -1246*v**3 + 7*v + 21. Calculate -2*s(j) - 7*y(j).\nAnswer: -413*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -210*m**4\/11 + 281824*m**3\/11 + 4266242*m**2\/11 + 3908216*m\/11 - 75992\/11 = 0.\nAnswer: -14, -1, 2\/105, 1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of k**7\/105 - k**6\/90 - k**5\/6 - k**4\/3 + 4*k**3 - 13*k**2. Let x(q) be the first derivative of v(q). Factor x(h).\nAnswer: 4*(h - 2)*(h + 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from xeeexxx?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 4*x**2 + 82*x + 251. What is the remainder when q(-3) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 36750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12.2 + -12.23. Which is bigger: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/4772 and 107\/21474.\nAnswer: 42948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 24033*w - 23888. What is c(1)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 1\/2, -2\/11, 2 in decreasing order.\nAnswer: 2, 1\/2, -2\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -21. Suppose 4*m - 15 = -w. Let h(k) = k - 1. Let p be h(3). Solve 2 = -2*x + 2*z, -p = -4*x + m*z + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 3. Let p = -15 - -50. Suppose 4*a = -b + 8 + 4, -5*b - a = p. Let x = -8 - b. Determine i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 9*l = 5*f + 10, -2*f - 5*l + 13 = 0. What is the remainder when (-4)\/f + 142\/(-18)*-51 is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 + 14)*(35 - 14*o - 35).\nAnswer: -280*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -681\/14 - -8899\/210. Suppose 5*h - 34 + 49 = 0. What is the common denominator of r and 5\/(-20)*(-122)\/(-12)*h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**5\/3 - 32*j**4\/3 - 61*j**3 - 184*j**2\/3 + 400*j\/3 = 0?\nAnswer: -25, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 40695.513 + -40636. What is r rounded to one dp?\nAnswer: 59.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 356 = 3*c + w, 2*w + 552 = 5*c. Suppose -7*p = 2*z - 3*p + 212, 0 = -p + 1. Let m = z + c. Solve -3 = -0*d - 3*d - m*h, 4*h + 2 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -549, -556, -565, -576?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 + 22. Suppose -o + 7 - 4 = n. Suppose 5*z = -4*y + 39, -o*y - z - 3*z = -28. Solve 3*a + 6 = a - 4*d, 4*a + 4*d = -y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4870838009 to the nearest integer?\nAnswer: 69791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 287140 divided by 98.\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 7. Suppose 2*z + 10 = -0*z - 2*g, -y*g - 20 = 0. Solve z = -3*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y + 17. Let h be q(-8). Let z = 41 - h. Solve 2*x + 3*b = z, 10 = x - 0*x + 3*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -l**4\/8 + 31*l**3\/6 - 5*l**2. What is the units digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 105230.8 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1662.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2669, -5077, -6945, -8003, -7981?\n\"Answer: 45*h**3 - 2723*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1617 divided by -11.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253679 is divided by 1157.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 38dc00 (base 15) to base 7\nAnswer: 32126211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8d + 20?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -48\/235 and 3\/7778641.\nAnswer: 38893205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26284202761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1334 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4504423 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -377524 divided by 4.\nAnswer: -94381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + -10. Let j be 22\/6 + 10\/h. Factor -1\/2*l**2 - 1\/2*l**5 + 0 + 0*l + 1\/2*l**4 + 1\/2*l**j.\nAnswer: -l**2*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 86 = 133 + 117. What is the highest common factor of 20144 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + (-21)\/15 + (477\/(-45) - -1). Let n(j) = -2*j**2 - 17*j + 11. What is n(g)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 25*w + 63. Let k be v(27). Solve -k = -4*t + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 78351 in 15, 1\/4, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.7 - -26.7. Let d = o - 22. What is the closest to d in 4, -0.5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 4*s + 1. Let q be t(-4). Let h be 6\/(-2) - (-9 + 0). Suppose -v = -h*v. Is q >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102393435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.13 - 5.87. Let n = 6.05 + p. Suppose 36 + 200 = -118*r. Which is the closest to 0.1?  (a) r  (b) -2\/5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**2 - 314*j + 2552. Determine s(8).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1125022 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 58439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 9*j**2 + 43. Let h(g) = 834 - 280 - 276 - 3*g - 278. Calculate h(m(d)).\nAnswer: -27*d**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35344796 to the nearest integer?\nAnswer: 5945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 585, 3426, 8655, 16272, 26277?\n\"Answer: 1194*i**2 - 741*i + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 57.7, -0.22, 3, -3, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 4. What is the closest to 1 in -5, -0.6, b?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*x - 15. What is the units digit of 52 - (x\/(-3))\/(22\/(-33))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, w: 7, j: 2, c: 2}. Give prob of picking 1 j, 1 c, and 2 w.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4*j - 2*j + 3)*(-6*j + 29*j + 25*j) - 3 + 12*j**2 + 1 + 0*j**2 - 1 + j**2 + 1 + (-3 + 3 - j)*(0*j + 4*j - 5*j).\nAnswer: 110*j**2 - 96*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10816)\/(-416) - (1 + 25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a**2 + 6*a - 18. Let r be u(3). What is the greatest common factor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 565 - 449. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 927473 is divided by 681?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 6 = 0, 2*d + 4*y - 4573 = -3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21783154.\nAnswer: 2, 17, 59, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -32665?\nAnswer: 32668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (-17242)\/(-16) - 57\/(-152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/j**5)*j*j*j\/((j*j**2)\/j))\/(j**(-1\/4))**(-10\/9))\/(j**7\/j**(-6\/13))**(-47) assuming j is positive.\nAnswer: j**(83401\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -7*q - 7*a + 3*a, 0 = 5*q - 3*a - 43. Solve 3 + 17 = q*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -792\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k**3*z**3 - 1154*k**3 - 121*k**2*p + k**2*z**3 - 3*k*z - 21764*p*z**2 wrt z.\nAnswer: -6*k**3*z + 6*k**2*z - 43528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lylyyyly. What is prob of sequence yll?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**3 + 278*d**2 + d + 126. Give w(-139).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2 - 105712*n + 70476.\nAnswer: -(n + 35238)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1791917503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -37, -60, -81, -100, -117, -132, -145?\n\"Answer: f**2 - 26*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-4))\/((-14)\/112).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245 = -0*q + 5*q - 5*y, -3*q = 5*y + 123. Let r = q + 39. Let u(f) = -f**3 - 8*f**2 - 12*f + 1. What is the remainder when u(r) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1aa4a39 + -4?\nAnswer: -1aa4a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -441 - 442 + 55*c**2 - 422 + 1305.\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -258*a**4 + 6 + 2 - a**2 + 14*a - 16*a**3 - 3*a**2 - a**5 + 254*a**4 + 3*a**5.\nAnswer: 2*(a - 4)*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -26, -34, -34, -20, 14, 74, 166?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/66*(3 - 1). Let r = -148\/11 + c. What is the common denominator of 73\/3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17786538293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + 6\/2 + (144\/108 - 10\/3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-11)\/(-396))\/(2\/(-3)). Which is the closest to 1?  (a) o  (b) 2\/11  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204534.\nAnswer: 2, 3, 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*u + 1444 - 1444 + 37*u + 11*u**3.\nAnswer: 11*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 7. Let k(a) = -a**3 - 6*a**2 - 3*a + 3. List the prime factors of k(t).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-1 - ((sqrt(76) + 3*sqrt(76))\/sqrt(4))**2.\nAnswer: -304 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1e (base 16) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-5712)\/3536*((-10)\/2)\/(-35)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36302110 rounded to the nearest 100000?\nAnswer: 36300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -582458, -582462, -582480, -582518, -582582?\n\"Answer: -s**3 - s**2 + 6*s - 582462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 PM and 12:20 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 21\/(-4)*8\/(-3). Let a = f - 12. Determine u so that -4*u**2 - u**2 + 2*u**2 + u**a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19383780 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -47843 and -323645069?\nAnswer: 323597226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -363*n + 3 + 1 = -181*n - 177*n - 2*o, 7*n - 12 = 6*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -4*y**3. Let z(j) = 4*j**3 - 6*j**2 + 3*j. Let o(q) = -7*q**3 + 10*q**2 - 5*q. Let l(v) = -3*o(v) - 5*z(v). What is -i(x) - 3*l(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*m**2 + (5 - 8*m + 11*m - m)*(-3*m + 4*m + 7*m))*(9*m**3 - 3*m**3 + 0*m**3).\nAnswer: 108*m**5 + 240*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20805 divided by 15.\nAnswer: -1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - (-6)\/3 - 1. Suppose 0 = 2*a - 2*u + 12, 0 = 5*a + u + 2 + 4. Let l = v - a. Solve -5*w = -3*q - 4, 2*q = -2*w + l*q + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, n: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233003303 + 2?\nAnswer: -233003301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 412 - 411.4. What is the closest to -1\/12 in -5, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-2)*r*r\/((r**(-2)*r)\/r)*r*r**(2\/17)*r*r**(2\/11))**(-1\/3))**2 assuming r is positive.\nAnswer: r**(-3478\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 223036*g**2 + 376312*g.\nAnswer: 446072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 7*b**2 + 6*b**2 - 42*b**2 + 10*b**2 + 16*b**2. Let z(u) = 7*u**2. What is z(i(r))?\nAnswer: 63*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*t**3 - 28*t**3 + 55*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.47 - 1.37. Which is the biggest value?  (a) -1\/6  (b) -2\/7  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(252) + sqrt(252) + sqrt(63) - sqrt(63))\/(sqrt(9) - (sqrt(9) + (sqrt(9) - -4*sqrt(81)))).\nAnswer: 4*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 104*s**2 + 1. Let a = -180 - -157. Let d = a - -35. What is the remainder when i(-1) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -14*l**3 - 9*l + 20. Let a be n(-8). List the prime factors of a\/(-3)*3\/(-6).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 27*k - 3 + 1 + 344*k + 292*k + 3.\nAnswer: 663*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -705*c - 1027 + 2437 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(50) + sqrt(150)\/sqrt(3))*5)\/(((sqrt(280) - sqrt(280)*-2)\/sqrt(7))\/sqrt(4)).\nAnswer: 50*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 6*g - 9. Let z = 36 - 26. Let x be z\/(-45) + 1 + (-156)\/27. Let b(d) = 5*d - 8. Give x*b(m) + 4*a(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, g: 3}. Give prob of sequence tttg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 30*w - 50. Determine j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65195 + 9877 = -736*x for x.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10467770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 17*m**5\/30 + 2*m**2 - 38*m. Let z(o) = 0*o**2 + 5*o**2 - o**2 - 2*o**2. Calculate k(z(r)).\nAnswer: 136*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -238889 divided by -16\nAnswer: 238889\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5*a + 27, -4*j = a - 1 - 12. Let d be 13 + 2 - (j - 1). Suppose 0*y = -y + d. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 12*k**2 + 3*k - 4. List the prime factors of n(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - d + 51. Give c(10).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/3 + 4768\/48. Suppose 50*u - g = 54*u. Which is bigger: -126\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*p + 20*p + 132 = 0. Let s = p + -23. What is the greatest common factor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207443*u + 104122*u + 103225*u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150*w + 145*w + 1220 = 0. Let j = w - 152. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**2. Let p(v) = -4*v**2 - 2*v**2 - v**2 + 3*v**2. What is x(p(w))?\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42.6 - -350.6. Let q = a - 312.82. Round q to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 + 22. Which is the second biggest value?  (a) 5  (b) 1\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.965 - 0.035. Let q be 6 + (-5 - -2) - 2. Let z = 0.04 + -0.01. Sort q, m, z in decreasing order.\nAnswer: q, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0)**49*u*u**(4\/3)\/u*u*(u*u**(-2\/5))\/u*u assuming u is positive.\nAnswer: u**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 375 and 11.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -16. Suppose j = -2*q - 0*c - 2*c + 174, -5*q + 419 = -3*c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2))**(-17))**(-11)*(a**2\/(a*a*a**(1\/6)*a))\/((a*a\/a**(-3)*a*a)\/a*a**(-3\/8)) assuming a is positive.\nAnswer: a**(-9139\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**5\/3 + 926*q**4\/3 - 43854*q**3 + 5187298*q**2\/3 + 16496780*q\/3 + 3725664 = 0?\nAnswer: -2, -1, 72, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, c: 9}. What is prob of sequence jj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5683.\nAnswer: 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000 + -1000010011?\nAnswer: -111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -o, -402 = -3*v + o + 217. Suppose -22*u + 77 + 190 = -239. Calculate the greatest common factor of v and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 6 = 2*q. Let c be 4*(0 + q\/6). Suppose -g + c*g = -13700. What is g rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2698.3 less than or equal to 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 20324  (b) -2\/9  (c) 5  (d) -1\/5  (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -578*r - 396*r + 523*r to m + t*r and give t.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0012623265 rounded to seven decimal places?\nAnswer: 0.0012623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -x + 14, -4*x + 12 = -2357*l + 2362*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**3 - 4*n**2 - 6. Let g(m) = -m**3 - 3*m**2 - 5. Let s = 78 - 55. Suppose 2*w + 1 = s. Let i = w - 8. Determine i*u(o) - 4*g(o).\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 times -1200?\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -28*t - 2. Suppose -3*b - 9 = -4*b. Let a be (3\/2)\/(b\/(-24)). Is 12 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -193 - -11?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - -24.9.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -77b188 - -2?\nAnswer: -77b186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*g - 6*g + g to the form c + f*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 462790550\/4219 - 109692. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536325335?\nAnswer: 5, 7, 13, 168391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.158 - 2.858. Sort 48, o, -20 in descending order.\nAnswer: 48, o, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1699 or -22096\/13?\nAnswer: -1699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 454320003*d. Let p(t) = -t**2. What is y(p(s))?\nAnswer: -454320003*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2001.0248 + -2001. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 509108728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -12*w**3 + 15. Let i(s) = 2*s**3 - 2. Determine c(r) + 9*i(r).\nAnswer: 6*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-1 + (-5)\/15*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * 313.4\nAnswer: 9.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 21*d - 24. Let w be l(-18). Suppose n = 6*n + w. Does 9 divide (n - -3)\/(12\/(-332))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 p, and 1 j when three letters picked without replacement from {n: 1, o: 3, w: 3, j: 1, b: 2, p: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 + 0.3. Let w = i - 0.3. Let s be (3\/21)\/(2\/4). Sort s, -5, w.\nAnswer: -5, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/17836361 + 309300336413\/2782472316. Let h = 1340\/13 - a. Find the common denominator of h and -17\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*m**4 - 122*m**3 + m**2 - 92*m - 6307133.\nAnswer: 16*m**3 - 366*m**2 + 2*m - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 7*c**2 + c**2 - c**2 + 4*c as y + h*c**2 + k*c and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**3 + 4*b**3 - 3 - 3 + 5. Let v be (-60)\/20 + (-1)\/((-1)\/3). What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -1\/2*b**2 - 1\/3*b**3 + 1\/3*b**4 + 2 - 1\/20*b**5 - 24*b. Calculate z(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54928, 54587, 54062, 53359, 52484?\nAnswer: 51443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -176, 8, 5, -4 in increasing order.\nAnswer: -176, -4, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + (35 - 12) + 16 + 101 - 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/2 - 23*s**2\/2 + 66*s - 90.\nAnswer: (s - 15)*(s - 6)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 363643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -73, -116, -149, -166, -161?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.546 - -0.346. What is the closest to -1 in -3, -27, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = s - 2, -105 = 5*i - 120 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.1 - 1.08. Let j = -10.02 + y. Let i = -10 - j. Which is the second smallest value?  (a) i  (b) -2  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 7*g**2 + 9*g - 6. Let m be a(6). Suppose 0 = -4*q - 24 + m, -5*i - 4*q = -113. Calculate the remainder when 90 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*i = -11*i + 683560000. What is i rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 2*s - 2524 = 0, 3*s + 426 = 4*n - 1584. Suppose 8*c = 2*c + n. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62030389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/45 and -31\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -4*o - 17, 3*m - 3*o - 29 = -m. Suppose -m*f + 19*f = 56. Let z(p) = -8*p - 9. Let t = -2 - 9. Let l(b) = -3*b - 3. Give f*z(q) + t*l(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11\/3348 - -34715\/545724. What is the common denominator of u and -95\/16?\nAnswer: 7824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*y + 46*y + 0 + 23 = -3*d, 4*y - 5*d - 71 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -2  (c) -2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25210300, 25210301, 25210302, 25210303?\nAnswer: 25210304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a - 3. Let f be q(6). Let u be (-1 - f)*17\/(-34). Solve 5*m - 16 = 5*w + 14, 20 = 3*m - u*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 216789 or 4986123\/23?\nAnswer: 4986123\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2. Let m(s) = -13*s**2 + 131*s + 19. Let d(p) = -36*p**2 + 387*p + 51. Let u(f) = -4*d(f) + 11*m(f). Determine u(n(v)).\nAnswer: v**4 - 107*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 74 - 3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 12:51 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/(-110)*3 - (-48)\/15 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 15024*x - 15019*x - 4*h, -4 = 3*x + 4*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -2, -3, -5 in descending order.\nAnswer: 5, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 155917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.15 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 18*p**2 + 29*p + 9. Calculate t(-16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 72044 (base 15) to base 10\nAnswer: 361189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -69.64 minus -0.1614052?\nAnswer: -69.4785948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 37205939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 6\/5  (b) -0.3  (c) -1  (d) -2\/3  (e) 0.05  (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(132) + sqrt(132)*1 - sqrt(132)) + sqrt(132) - sqrt(132)) - sqrt(132))\/((sqrt(1452) - sqrt(1452)*1 - sqrt(1452) - sqrt(1452)) + sqrt(1452)).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -9673715\nAnswer: -1934743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (24 + -50)\/((-9409)\/(-3137) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.086017, 0, 106 in increasing order.\nAnswer: -0.086017, 0, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 564 = -2*w - 2*w + 3*l, -5*w = l + 686. Suppose 2*a - a - 318 = 0. Let s = a + w. What is s rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kuuukuuu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -19427 greater than or equal to -19424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -13*d. Let x(v) be the second derivative of -v**3\/6 + 4*v - 3. Determine c(x(u)).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -191 + 194. Let t be (c\/2)\/(-4 + 153\/(-36)). Which is greater: t or -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -943, -1, 2, 58, 0.06?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -8*r**2 - 12*r + 6. Let z(j) = -15*j**2 - 22*j + 11. Let s(i) = -11*p(i) + 6*z(i). Let x(d) = 113*d - 5. What is x(s(b))?\nAnswer: -226*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -364  (b) -0.2  (c) 3  (d) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/3)\/(l\/l**16) assuming l is positive.\nAnswer: l**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v - 4*v + 414 = 0. Let u = v - -59. Let q(s) = s**3 - 12*s**2 - 12*s - 9. Let y be q(u). Solve -12 = y*l + 4*r, -l + 4*l - 5*r = 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10550000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5\/3  (b) 3\/5438  (c) -2\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 + 58*m**2 - 209*m - 737. Give k(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 - 11. Suppose 0*w - 4*w - 2*k = -d, -1 = k. Find f such that w*f**3 + 108*f + 15 + 16 + 36*f**2 + 77 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-2))\/((-420)\/(-112))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**5 - 1162*z**4 + 19936*z**3 - 99548*z**2 + 163668*z - 82890 = 0. Calculate z.\nAnswer: -307, 1, 3\/2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1198 + 1130.3. What is g rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**4\/21 - 146*r**3\/21 - 648*r**2\/7 - 8032*r\/21 - 10880\/21.\nAnswer: 2*(r - 85)*(r + 4)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + (6 - 1) - ((17 - 2) + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + t + 3*t + 4, 2*t = -3*c + 12. Let v be 21\/(-6)*42\/(-98)*2. Suppose v*a = 2*g - 2, c = -3*a + 6*a + 4*g. Which is greater: -7\/6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-4\/33)*v)\/(v*v**(-39)*v*v))\/(v**(-39)\/(v*v*v\/(v*v\/v**(-2)*v)*v)) assuming v is positive.\nAnswer: v**(2471\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(2\/3)*p**(4\/3)*p**8\/p**(-5\/6)*(p\/(p*p**0)*p)**(-17)*(((p*p*p**2*p*p)\/p)\/p)**(-2\/85) assuming p is positive.\nAnswer: p**(-3193\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n**4\/2 - 3015819*n**3\/2 - 9047475*n**2\/2 - 9047481*n\/2 - 1507914 = 0.\nAnswer: -1, 1005276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/756 and 2*34\/(-24)*(-11)\/693?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/6, -651, -285, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101499245 divided by 2213.\nAnswer: -45865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19123542\/3434 + (-4)\/(-34).\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156387939?\nAnswer: 3, 359, 145207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w. Let u(a) = -224*a**2 - 885*a**2 + 1 - 1 - 226*a**2. What is u(o(h))?\nAnswer: -5340*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3, 0*x - x + 7 = 2*w. Let v(i) be the third derivative of 0*i**3 - 1\/60*i**5 + 0*i + 0*i**4 + 1\/120*i**6 + 4*i**2 + 0. Determine v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2199349 and -1.5.\nAnswer: -2199350.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 92187270 and 4482?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 1 - 2*y**2 + y**3 + 0 - 3 - 3*y. Let c be n(3). Let i be 3 - (2 - (c - -1)). Which is greater: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -855, -3335, -7469, -13257, -20699, -29795?\nAnswer: -40545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 511 and 8995.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 + -16. Let k = 2.8 + 1.2. Which is the nearest to q?  (a) k  (b) -1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, z: 5, a: 5, g: 7}. Give prob of picking 1 z and 3 a.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9462 + -9397. Calculate the remainder when 1163 is divided by t.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 1. Let c(k) = 13*k - 1. Let g(u) = 45*u - 2. Let x(v) = 6*c(v) - 2*g(v). Give -3*h(a) - x(a).\nAnswer: 9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 5*n - 30. Let l be f(6). Factor 4*s**4 + 2*s**5 + 26*s**2 - 2*s**3 + l*s**4 - 30*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/22 and 83\/21840.\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199*y**4 + 8*y**4 - 10*y**4 - 95*y**2 wrt y.\nAnswer: 4728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 993094, 993095, 993096, 993097, 993098, 993099?\nAnswer: 993100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + 0 - (-3 + -1076 + -2). Suppose 3*x + 606 = -3*y, -264 = -4*x + 3*y - d. Let s = x + 326. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 335*d**2 - 5403*d - 31. Determine q(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-6) + (-26)\/(-3). Let f be 2*(-3 - (4 - r)). Suppose l - 3*p + 1 = 46, f*l - p = 65. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1053\/60)\/27 - 1\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4070 and 18?\nAnswer: 36630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 19402 + 244*v - 19377 + 53*v + 170*v as o*v + z and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (20\/(-70))\/((-3)\/42). Solve -b - 2*v - 2 = -n*b, -2*b + 4*v = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 103 - 39. Suppose 3*u - 5*n + 6*n = 162, -u + 3*n = -p. Suppose 4*o + 3*x - u = 2*x, 5*o + 4*x = 55. Calculate the least common multiple of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j**2 + 6*j + 7. Let m(o) = 7*o**2 + 13*o + 15. Let r(l) = -13*a(l) + 6*m(l). Let c be (8\/(-6))\/(12\/18). Calculate r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -5*x + 2*x. Let r be 3*(33\/(-6) + (-3)\/(-18)). Let v = r - -61. What is the remainder when v is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 9*n**2 - n - 26. Calculate the remainder when 86 is divided by t(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 34627 = -472. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-72)\/(-81))\/(-4))\/(99\/29403).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 315 = -4*z + 9*z. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1221 by 11.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 782865 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lttv when four letters picked without replacement from ttttotottvltttovtto.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 3*k - 10. Let t be q(-2). Solve -3*y + t - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 23*t + 22. Let w(v) = -11*v - 10. Calculate -3*c(q) - 7*w(q).\nAnswer: 8*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 AM and 2:35 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/10 + (-22)\/4. Let a = -4 - r. Let c(o) = -5*o**2 + o**a + 0*o**2 + 3*o**2. Let z(l) = 2*l. Give z(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - -19) + -25 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -0.4, 6, 16\/145?\nAnswer: 16\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = -3*j - 5*k - 6, 5*j - 10 = 4*k. Let h(z) = -5*z + 2*z**j + 4 - z + z. List the prime factors of h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3408.6 - -2820. Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6526*k**3 + 19575*k**3 - 6524*k**3 + 44*k - 6523*k**3 - 30*k**2 - 44*k.\nAnswer: 2*k**3 - 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*s = -38*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*w, 2*w + 32 - 42 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -2*r - 20, 2296 = 3*r - 4*t + 2332 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 14*m**2 + 1. Let s be h(-1). Let t(v) = v. Calculate the remainder when 66\/s - (-6)\/(-15) is divided by t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4 - (0 - -1)\/(25\/(-200)). Solve j + 21 = 3*o - h*j, -11 = -4*o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**(-1\/2)*z)*z*z**(-2\/9))\/(z**(-1\/2))**(-32) assuming z is positive.\nAnswer: z**(-265\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*m - 5*i + 17 = 0, -m + 19 = 5*i. Let s(p) = 16*p**3 - 2*p - 5. Let c(h) = 5*h**3 - h - 2. Let j(t) = -8*c(t) + 3*s(t). Give j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6*((-406)\/140)\/29. What is the closest to 1 in -0.4, i, -6\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 1056*u**2 - 21*u + 21. Does 6 divide s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 97641665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l**3. Let g be v(-1). Let u(a) = -14*a - 2. Let r be u(g). Suppose -2*o + r = -32. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 1:20 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 50 = -80. Suppose -4*l - 3*w = -z, 2*w = -3*l - 2*l + 10. Solve 12 = -b - 3*b - 2*j, l = 4*b - 2*j + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/7, -0.5, -20, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of x**2\/2 + x - 35. What is o(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - 18. Calculate the smallest common multiple of k\/(-1)*2\/3 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101221111000 (base 3) in base 2?\nAnswer: 110100100101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**4\/5 + 32*y**3\/5 + 84*y**2\/5 + 16*y + 26\/5 = 0. Calculate y.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y - 31 = -12*y - 2*q, q + 12 = 3*y. Let b = -3 + 3. Solve -1 = -j + 3*o + y, b = -4*o - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 447058 = -6159*l - 301983 + 170095 for l.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1, 3, -4, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19766 divided by -11777.\nAnswer: -19766\/11777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5595c + 954?\nAnswer: -55008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9990.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2237029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2  (b) -0.5  (c) 4  (d) -8  (e) 18\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 6122?\nAnswer: 3\/6122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -577*u + 571*u + 30 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 14153 * -0.5\nAnswer: -7076.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*c - 600 = 596*c - 292*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 6737*k**2 + 32*k. Let v(t) = -192893784*t**2 - 916232*t. Give 4*v(y) + 114529*x(y).\nAnswer: 6737*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1*(-6)\/(-9))\/((-145)\/3074580)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 426123911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from leli.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126, -157, -100, 51, 302, 659, 1128, 1715?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 7*s. Calculate w(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 8*h**2 - 5*h + 10. Let p be f(-7). Suppose p = 2*s + m, 165 = 5*s + 3*m - 68. Let k = s + -23. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4936371623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -568, -1137, -1706, -2275?\nAnswer: -2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/9 - (-22)\/18. Let d = 17 + -17.09. Let l = 0.01 - d. What is the closest to 0.3 in 0, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1216) + 1*(sqrt(1216) + sqrt(1216) + 0)**2 + 4*(sqrt(1216) + 0) - (2*(sqrt(1216) + 2)**2 + 1 + sqrt(1216) + -3).\nAnswer: -32*sqrt(19) + 2426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3153 from 4702083.\nAnswer: 4705236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -5*j - 70. Give t(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 6*m - 30 = 0. Suppose 0 = -3*h - 5*u + 16, h - 3*u = 1 - 5. Suppose -h*z + 43 = g - 5*z, -4*z - 160 = -m*g. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -843 (base 11) to base 13.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 101  (b) 1\/9  (c) -1\/56  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4773 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - 5*k. Let i be u(-5). Suppose i = -3*t + 6*a - 5*a + 175, 3*a - 15 = 0. Calculate the highest common divisor of 24 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 - (53\/(-5) - 126\/(-210)). Suppose -q*w + 8988 - 2796 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {c: 6, t: 8, p: 1, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 6380*a**3 - 4*a**2 + 6386*a**3 + 6379*a**3 + 6*a - 25*a - 19144*a**3 to c*a + x + m*a**2 + r*a**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, a: 1, d: 1}. Give prob of picking 1 a, 2 p, and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2942810785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -3*x**5\/7 - 1110*x**4\/7 + 249183*x**3\/7 + 507198*x**2\/7 - 996684*x\/7 - 2011032\/7 = 0?\nAnswer: -527, -2, 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11184 + -11184.79888. Let a = 0.8 + z. Let f = a + 0. Round f to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 - 75*w**2 + 20*w + 300.\nAnswer: -5*(w - 2)*(w + 2)*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 4*k + 20499 - 63575, -3*v - k = -32295. Calculate the greatest common divisor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 634 - 625. Let h(y) = -5*y + 1. What is the least common multiple of h(-2) and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i - 3159 - 1071. Let o = i - -704. Let t be 0\/(4\/1 - 2). Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212783*g**2 - 212397*g**2 + 425815*g**2.\nAnswer: 635*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -69\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*u**2 - 4502*u**3 + 89*u - u**4 + 9*u + 4508*u**3 = 0. What is u?\nAnswer: -7, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -860, -859, -858, -857, -856, -855?\n\"Answer: c - 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/6*(-2574)\/3003?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)\/sqrt(6) + 4 + sqrt(11))*-5*2 + -3*(-3*(sqrt(121) + (sqrt(121) - 1*sqrt(121))))\/sqrt(11))**2.\nAnswer: 880*sqrt(11) + 2931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 189*s - 125*s - 19*s**3 - 324*s**3 + 197*s wrt s.\nAnswer: -2058*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -25. Let d = 40 - x. Let u = 38 - d. Calculate the remainder when 46 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 51 = 3*k. Suppose -622 - 1304 = -k*z. List the prime factors of z.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 7*l**2 - 4*l - 2. Let o be (21\/(-2))\/3*2. Let s be y(o). Suppose 2*z - u - s = 0, -5*u + 13 = 2*z - z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**3 - 5*m**3 + 2*m**3 + (3*m**2 - 4*m**2 + 2*m**2)*(-33*m + 278 - 278) + 2 - 2 - m**3.\nAnswer: -35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -217*v + 16135. Give g(67).\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5918 + -94587\/16. Calculate the common denominator of u and -21\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -596*w - 144745 + 210305 = 0 for w.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9.922976 kilograms?\nAnswer: 0.009922976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18404*i + 18412*i + 18418*i + 18400*i - 73610*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 63693, 63694, 63695?\n\"Answer: q + 63692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 7)\/(33439\/205411)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -c + 3*w + 34, 5*w + 74 = c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and 4565613.\nAnswer: 4565613.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1989 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 - 7*a**2 + 12. Give c(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (37\/2)\/(-1)*429\/((-8151)\/(-38)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 5*r**2 + 4*r - 2. Let y be (-1)\/(-3 - (-16)\/5). Let l be t(y). Let p = l + 39. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*w - i - 19, 2145*i - 2147*i - 140 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 44\/10 + 10\/(-25). Let h be (i\/(-6))\/((-6)\/27). Suppose -h*q + 82 = m, 3*m - 5*q = 7*m - 321. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 - 5*l**2 + 11*l - 24. Determine w(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 659123?\nAnswer: 1977369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*k**2*m**2 - k**2*m + 43*k + 4*m**4 - 7*m wrt m.\nAnswer: 72*k**2 + 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/5)\/f)\/f*f\/(f*f**35\/f*f)*f assuming f is positive.\nAnswer: f**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -79190, -79196, -79202, -79208, -79214, -79220?\nAnswer: -79226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/31)*q)\/(((q*((q**(-6)*q)\/q*q*q)\/q)\/q)\/q))**(-40)\/((q\/(q*q*q*q**2\/q))**(-16)\/(q**(-2\/3)*q)**(-1\/5)) assuming q is positive.\nAnswer: q**(-151351\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 2*b + 2*a = 102320, 0 = -3*b + 5*a + 61361. List the prime factors of b.\nAnswer: 2, 13, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 22 - (-31 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 1*((sqrt(30) + (sqrt(30) - sqrt(60)\/sqrt(2)*4))\/sqrt(6) + (sqrt(20) + sqrt(40)\/sqrt(18) + sqrt(20) + sqrt(20))\/sqrt(4)))**2.\nAnswer: 32*sqrt(5)\/3 + 224\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 372 + -4088\/11. Which is greater: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26 + 0.196189735.\nAnswer: 26.196189735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -17*p**2 + 0 - 5*p**3 + 14*p**2 - 2*p + 5. Is u(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 4*c + 105, -2*k - c + 12 + 43 = 0. Suppose 2*v = -4*f + 6922, 0 = -3*v - 2*v - k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.483911*1\nAnswer: 0.483911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 2*p**2 + 2*p)*(1 + 2*p - 1) + p**3 - p**3 - p**3 + (11 - 1 - 3)*(4 - 4 + p)*(4 - p**2 - 4) + (p + 0*p + 0*p)*(p**2 - p**2 + p**2).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) 0.4  (c) -0.5  (d) 249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210 and 17845?\nAnswer: 749490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -201*o + 1212. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 7617415, 3 in descending order.\nAnswer: 7617415, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 373 - 201. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8112, -7832, -7564, -7314, -7088?\nAnswer: -6892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10845777 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at least as big as -0.043383273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 8) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 3:23 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/13 and 99\/10600.\nAnswer: 137800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 3:17 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26180?\nAnswer: 2, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -673251 or -673254?\nAnswer: -673254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*j = -61*j + 8, 5*r + 2*j = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-42)\/6 - (9 + -18). Let i(l) be the first derivative of 1 + 2\/3*l**3 + 0*l + 0*l**r. Let o(t) = -10*t. Give o(i(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**3 + 339 + 3*c**3 - 123 + 0*c**3 - 216.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4016 - 0.944753.\nAnswer: -1.346353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v**3 + 5*v**3 + 0*v**3 + 6*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -4*z**3 + 88*z**2 + 192*z = 0.\nAnswer: -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 202712 to the power of 1\/2, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16.7 - 1.7. Let r = h - 15.1. Which is the third biggest value?  (a) -3  (b) r  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*v - 5*q, 7*v - v - 2*q = 88. Suppose 0 = -31*n + 29*n. Let j be 2\/6*0 - -2. Solve j*m + 2*m - v = n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -416 = -1606*p + 1605*p. Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -4*m + 5*p, m - 7*p + 9*p = 0. Let r be (2292\/m)\/(6\/12). Round r to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 - -134204515?\nAnswer: 134204545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 316 + m - 204 - 38 - 38 - 36.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 5:36 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 9:31 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 11:46 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 714?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/36 and 81\/6130?\nAnswer: 110340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -111, -218, -325, -432, -539?\n\"Answer: -107*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and ((-1)\/2)\/((-10)\/960)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**3 - 2*q**2 + 4*q + 4. Let g be v(-2). Which is the third smallest value?  (a) -11  (b) 0  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 812\/(-98) - -8 - (-24)\/(-14). Let p(n) = -16*n + 2. Let u(j) = j**3 + 1. Determine q*u(l) + p(l).\nAnswer: -2*l**3 - 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18715111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 3 - 6. Let k(d) = d**2 - 3*d - 2. Let g(b) = -b**2 + 4*b + 3. Suppose 0*c + 3*c - 7 = v, -c + 3*v = 11. Calculate c*k(u) + f*g(u).\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h - 25 = -13*h. Let n(z) be the second derivative of 2*z**3\/3 + 3*z**2 - z. Let b(w) = -8*w - 11. Let m(t) = h*n(t) - 3*b(t). Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1399 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7612164 (base 8) in base 2?\nAnswer: 111110001010001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2*w**3 - 150*a**2 - 8*a*w - 3*w**3 wrt w.\nAnswer: -6*a**2*w**2 - 8*a - 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/34280 and 81\/40.\nAnswer: 34280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-26)\/(-3))\/(3\/(-9)). Let q be ((t - 4)*1)\/(-2). Suppose 11*v = 14*v - q. Solve v*m = -2*d + 12, 2*d + 4 = -2*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2133524893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, b: 5}. Give prob of picking 3 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 5:50 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1211 - -1966. Let p = o - 760. Sort -6, -3, p in decreasing order.\nAnswer: -3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 27*x**2 + 39*x + 38. What is the remainder when p(28) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -113 (base 4) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 + 6*p**2 + 4*p + 5. Let u(x) = -x + 2. Let n = 20 + -19. Let k(v) = n*b(v) - 2*u(v). Suppose -7 = -4*y + 21. Determine k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3970866*g - 11912598. Calculate q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.276 times 6?\nAnswer: 7.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -40*o**3 - o**2 + 9*o - 10. Let v(k) = -79*k**3 - 2*k**2 + 21*k - 22. Determine 7*n(x) - 3*v(x).\nAnswer: -43*x**3 - x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -75\/44 and 57\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5 = 2*b. Let o(f) = -8*f + 7. Is o(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -21, -115 in decreasing order.\nAnswer: -1, -4, -21, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.16  (b) 0.3  (c) 0.2  (d) 2\/43  (e) -3  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 8*t + 2. Let h be k(8). Suppose 0 = l - 2 - 3. Put h, -2, l in decreasing order.\nAnswer: l, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8051 = 174*z - 1279 - 936 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 25*y**2 + 26*y + 54. Let f be p(-24). What is the greatest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-4))\/(y\/(y*y**(4\/13))) assuming y is positive.\nAnswer: y**(-35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 40*y**2 - 5*y - 71. Let t(p) = -20*p**2 + 2*p + 35. Let n(o) = 2*c(o) + 5*t(o). What is the first derivative of n(v) wrt v?\nAnswer: -40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -73 + 82. Suppose -r = -w*r - 2320. What is the remainder when 32 is divided by 2\/(-15)*-5 + r\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 121343155?\nAnswer: -121343155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2672 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 395541, 2, -41 in decreasing order.\nAnswer: 395541, 2, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-28)\/(-28)*((-6)\/(-4))\/((-9)\/(-24)). Determine q so that -13\/3*q - f + 1\/3*q**3 + 0*q**2 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 2:25 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 13*r - 1. What is s(12)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in 1\/36, 22, -0.5?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1111, -1645, -2167, -2671, -3151, -3601, -4015, -4387?\n\"Answer: q**3 - 541*q - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -8*o**2 + o + 10. Give v(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, c: 3, h: 10, o: 1, l: 1}. Give prob of sequence ohcl.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-170)\/(-56) - (-150)\/(-525))*-2\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 220509445.999642 + -220509624. Let o = 178 + q. What is o rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.9 - 5.9. What is the nearest to -1 in 0.4, w, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 210634 and 210625 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 825, -3\/8, -2, -7 in descending order.\nAnswer: 825, 0.3, -3\/8, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eecqqeeeeec. Give prob of sequence qqc.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 516 - 12021?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) -0.5  (c) -815634\/17  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 5*s - s)*(-s**3 - 3*s + 3*s - 1 + 2*s**3 + 1 + (-5 - s**2 + 5)*(-4*s + 2*s + 0*s)) + 0 + 0 - 3*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -4173.\nAnswer: -5\/4173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.132 and -0.2.\nAnswer: -0.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 48, 10, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 - 16. Suppose 2*f = -a - 4, -5 - 4 = 3*a + 5*f. Let y = a - -26. What is the greatest common factor of y and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 640804, 2563101, 5766932, 10252297, 16019196?\nAnswer: 23067629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*f + 19 = 6*f, -5*f = 5*n - 30. Calculate the remainder when 12 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14802745.\nAnswer: 5, 109, 157, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -294709.216 to the nearest one thousand.\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/4 + 4697*g**3\/4 + 2333*g**2\/2 - 35220*g.\nAnswer: g*(g - 5)*(g + 6)*(g + 4696)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of -2\/3*f**3 + 0*f + 1 + 0*f**2. Let y(l) = 5*l**2. Give y(u(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -13 + 3 - (5 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 9:06 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.9 - 7. Let t = 3.5 - 3. Let h = -0.04 + 0.14. What is the nearest to h in t, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 + 2*n**3 + 0*n**3 - 5*n**3 + 0*n**3 + 3*n**3 + (3*n**2 - 4*n**2 + 3*n**2)*(-2*n + 2*n - 2*n) + (936 - 258 - 296)*(-2 + 2 - 4*n**3).\nAnswer: -1535*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37820 - 3351. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4845 = -2*k - 13257. Is k\/(-9) + (-2)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2. Let j(b) = -7*b**2 + 2. Let k(u) = j(u) - 6*o(u). Let l be k(0). Solve 0 = -0*w - l*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, k: 12}. What is prob of picking 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 10 = 2*k, t = 2*k + k + 2. Find g such that -5*g**4 + 0*g**3 + 8*g**3 + 0*g**3 - 2*g - g**t = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 4*c**4 + 2*c**3 - 2*c**2 - 1. Let k(v) = 4*v**4 + 3*v**3 - 3*v**2. Let p(b) = 2*k(b) - 3*q(b). Find the first derivative of p(j) wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.9 + -2. Let n = -15 - -86. Let h = -66 + n. What is the nearest to 1 in s, h, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of q**4\/4 - 2*q**3\/3 - q**2 - 17110*q + 83. Let f be l(0). What is f rounded to the nearest 100?\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1243 and 339?\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + sqrt(300) + sqrt(300))*-6*2.\nAnswer: 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27 or 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - (4 - -7)) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**4 - 282*t**3 + 2642*t**2 - 3462*t + 1106 = 0. Calculate t.\nAnswer: -79, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 109.\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22445 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 82123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1296.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 812254 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -113.1 take away 0.01?\nAnswer: -113.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -2.86?\nAnswer: -2.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35 and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/19  (b) -83  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - 12 - 25*z**3 + (2*z - 3*z + 0*z)*(0 + 0 + z**2) to g + r*z**3 + i*z + y*z**2 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13  (b) 2  (c) 0.0458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q + 7. Let i be m(-8). Let k = -6 - i. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-9*3))\/(78\/(180180\/(-35)))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vviiivv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 3. Let r be d\/4 + (-51)\/(-12). Put -5, r, -4 in decreasing order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -21678 or -17671?\nAnswer: -17671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, m: 7}. Give prob of picking 4 k.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24556146*w**5 + 60236332*w**2 wrt w.\nAnswer: -1473368760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**12*k*k**6*k)\/(k*k\/(k*k*(k\/k**8*k*k*k)\/k)*k*k**(7\/4)*k) assuming k is positive.\nAnswer: k**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000957738 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m - 4. Let l(q) be the second derivative of -q**4\/12 - q**3 - 5*q**2\/2 + 3*q. Let t be l(-6). Determine f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -27*q**3 - 28*q**2 - 7*q + 11. Let i(h) = 14*h**3 + 15*h**2 + 4*h - 6. Determine 11*i(d) + 6*z(d).\nAnswer: -8*d**3 - 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 3*y**2 + 4*y - 3. Let f be o(4). Let w(t) = t**2 + t + 2. Let x(r) = -2*r**2 - r - 2. Calculate f*w(m) - 2*x(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - i**2 + i + 4. Let t be h(0). Let w(n) = n**3 - 4*n**2 + n + 1. Suppose -2*c + 34 = -0*c. What is the remainder when c is divided by w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10 * -0.378478.\nAnswer: 3.78478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 68709979 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 34*g**2 + 794*g - 3303. Determine r(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -125*q**2 + 123*q**2 + 2 - 4*q + 3*q to the form x*q**2 + m*q + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31246 is divided by 840.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5047 divided by -1\nAnswer: -5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17888964*b**2 + 18510809 wrt b.\nAnswer: 35777928*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 13 = 2*x, d + x + 7 = -x. Let v be 0 + 47 + d + 4. Suppose -9*u + v + 222 = 0. Calculate the smallest common multiple of 8 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 113*c - 1637. Calculate j(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 11 - (1 + -3 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408830 is divided by 370.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.39 - -4.61. Which is the nearest to 0.1?  (a) l  (b) -0.4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 11 + 61 = 5*k, -4*k + 40 = -4*d. What is the smallest common multiple of k and 368?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 15 + 64)*(-2*b + 0 + 0)*(-4*b - 6*b + 0*b).\nAnswer: 1700*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 11\/40 = -184619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 845871337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4072346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/5894 and -23\/35.\nAnswer: 29470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 83 = 223. Differentiate 120*x + 25 + 0 + p*x + 3 + 8 wrt x.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -11. Let u(m) = m**3 + 10*m**2 + 8*m + 9. Suppose 0 = -3*x - 8 - 19. Let c be u(x). What is the greatest common factor of y and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -354, 0.01, -23, -5 in descending order.\nAnswer: 0.01, -2, -5, -23, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 6*h - h. Suppose -206 + 3575 = h*m. Let k = 20317\/18 - m. Calculate the common denominator of k and -89\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r + 33934 = 32*r. Suppose r*v - 725*v = -12. Solve -v*x + 10 = 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*w**2 + 140*w + 11*w**2 - 52*w**2 + 14*w + 18*w**2 + w**3.\nAnswer: w**3 - 2*w**2 + 154*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.36 - 0.06. What is the smallest value in -2\/21, -5\/2, w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -201 - -206. Suppose -16 = -r*h - 3*h. Solve -h*t = 2*n, -3*t - 16 = -4*n - n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 231432*q - 231434*q - 3*z + 25, 6*q = z + 45 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 6*w**2 - 5*w + 2. Let z be k(5). Find the third derivative of 4*x**5 - 23*x - 3*x**z + 23*x wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 21385, -2, 4.\nAnswer: -2, 4, 37, 21385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -4 + 10*m - 3*m - 6*m. Let d = -1 - -6. What is o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 653542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 245*g**3*i**2 - 3*g**3*i - 15947*g**3 - 266395*g**2*i**3 - 6*g**2 + 5*g*i + 4 wrt i.\nAnswer: 490*g**3 - 1598370*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 3*c + 5*p - 30, 4*c - 2*p = 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - g - 8 = -2*r, 0 = -r - 4*g + 20. Suppose -f + 4*f - 6 = 0. Solve 5*x + 6 - 23 = -r*j, 11 = 3*x + f*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0)*(2*o - o**4 - o + 3*o**4 + (-4*o**4 + 3*o**4 - o**4)*(11 - 4 - 1)).\nAnswer: 10*o**4 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-48)\/(-15) + (-4)\/(-5). Let r be -8 + m + 1 + 1\/1. Does 32 divide (186 - r)\/4*(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -76, 421*v - 3*i = 423*v - 67 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -269078, -267650, -266222, -264794, -263366?\n\"Answer: 1428*s - 270506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/27967 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 9*x = -o + 10, 0 = o + 5*x. Let b(i) = -6. Let q(h) = -h**2 + 5. What is o*b(z) + 6*q(z)?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - c0819?\nAnswer: -c081d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*j + 118*j = 4500. Let i = -199 + 414. Suppose -i = -5*t + j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88772611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 642437.8cm in nanometers?\nAnswer: 6424378000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -311 - 1143?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*y - 18 = 0, -j - 7*y + 3*y + 15 = 0. Find the second derivative of 75*g - 2 + 2 - 76*g - j*g**4 wrt g.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 10:49 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(220\/(-8))*(-66)\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -3*t + 27, -3*p - 10 = -4*t - 5*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/10184 and 139\/89110?\nAnswer: 356440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 20*l - 24. Let n be w(-18). Let m(x) = 1 - 2 + n*x - 2 + 0. Is m(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69057 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k + 9. Let u be v(-2). Solve -10 = -2*c + 4*t, 2*c - u*t - 13 = -2*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-54*q**2 + 16*q**2 - 9*q**2)*(1 + 6 - 1)*(-2 + 3 - 4) to the form s*q**2 + n*q + y and give s.\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -4*l + 55. Suppose -25 = -13*f + 12*f. Let n be k(f). Let j be ((n\/6)\/(-5))\/2. Which is the closest to 1?  (a) j  (b) 3  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 206*c**2*i + 119*c*i wrt c.\nAnswer: 412*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 u, and 1 y when three letters picked without replacement from {a: 1, u: 1, r: 2, m: 1, y: 1, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*sqrt(720))**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/5243 + -31316\/372253. What is the closest to m in 0.5, -2, 3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*a - 16*a = 10. Suppose -986 + 146 = -a*c. What is the greatest common divisor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0)*(0*h**4 - h**4 + 2*h**4) + (62*h - 2*h**3 - 62*h)*(-3*h - 11*h + 0*h) + (-h**4 + 3*h**4 - 3*h**4)*(3 - 2 + 1) - 2*h + 2*h + h**4.\nAnswer: 29*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -3\/23, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 6*l**3 - 6*l**2 - 4*l - 4. Let y(v) = -v**3 + v + 1. Let c(f) = u(f) + 4*y(f). Factor c(h).\nAnswer: 2*h**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1953*i**2 + 4677*i wrt i?\nAnswer: -3906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-10) + 2636\/(-6610). Let k be (-20412)\/240*(-1638)\/32389. Let f = v - k. Calculate the common denominator of f and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 1:45 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 44.74  (c) -0.4  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11941266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2200*j**2 + 2*j - 1856*j**2 - 1774*j**2.\nAnswer: -5830*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 7698*r + 38461. What is i(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + d - 8. Let k be u(0). Let t(r) = -18*r - 6*r**2 + 7*r - r**3 - 11 + 0*r**3. Is t(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, v: 1, l: 7}. Give prob of sequence rllv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 10100101100 (base 2) to base 14\nAnswer: 6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -35918*l**2 + 71923*l - 169. Determine f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -70?\nAnswer: -70.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -720*l - 33*l + 123*l + 36540 = 0 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-2)*20\/6*1. Let x(f) = -2*f**2 + 8*f + 12. Let c be x(b). Let q(t) = -2 + 86*t + t**c + 92*t - 178*t. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22748 and 8998?\nAnswer: 9303932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 47219260\/13 or 3632251?\nAnswer: 3632251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 17800000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 59.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 817283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 312\/(-78) - (17\/(-3) + 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.1 - 6.51. Let l = c + -0.39. What is the second smallest value in -3, 2, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1427311 divided by 62057\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95999 and 4250?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16995220 + 4937980. Round i to the nearest one hundred thousand.\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 661 - 661 + 913*d.\nAnswer: 913*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -868 + 948. What is the lowest common multiple of l and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 15 = 2*j. Let z = j + 0. Suppose -z*t - 23 = 2*l, -l - 10 = -2*t + 3*l. Which is the nearest to 0?  (a) 2  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of 1\/4*t**2 - 1\/6*t**3 + t - 3. Determine h, given that u(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -302852 + 303005.823. Let o = m + -154. Let l = o + 0.21. Round l to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/q**7*q*q**(-2\/9)*q*(q**(-2\/15)\/q)\/(q\/(q\/(q*q**(6\/7)))) assuming q is positive.\nAnswer: q**(-2272\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 37 (base 10) to base 9\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 172 + -115. Let v = 31 - l. Let d = -10 - v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-609)\/(-154))\/87*(-2)\/(30\/(-33)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2430 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6*4714.7\nAnswer: -28288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + 4)\/(2\/(-22)). Let s = 43 - n. Suppose 0 = -4*r + r + s. Calculate the remainder when 35 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*a + 11*a - 3*a.\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = 3*m - w, 0 = m + 3*w - 3 + 11. Does 22 divide -132*(-3 - m\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(48\/(-744)) - 54\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -746 + 757. Which is the second biggest value?  (a) 2\/15  (b) 2\/7  (c) s  (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 809834 divided by 59.\nAnswer: 13726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of 11*i**5\/60 - i**4\/12 + 2*i**3\/3 + 6*i**2. Let j be m(3). Let s = -54 + j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(2)*2 + 0))**2 - sqrt(2) - (sqrt(2) + -4 + sqrt(2) + 4).\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 - 19*z - 18. Let g(d) = d**3 + 5*d**2 + 6*d + 93. Let p be g(-6). Let f be b(p). What is the greatest common factor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/49)\/(15 + 3040\/(-266) - (1 + 2)).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1168286971\/20 - -58387248. Let x = k - -27106. Calculate the common denominator of 79\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1530 is divided by 189.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 750488981 to the power of 1\/2, to the nearest integer?\nAnswer: 27395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*((-21)\/(-9) + -3). Solve -3*v - 13 = -n + v, 0 = b*n + 4*v - 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2665203237?\nAnswer: 3, 17, 41, 141623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1477*m**6 + 1254*m**2 + 95*m - 1255*m**2 + 1974*m**6 wrt m?\nAnswer: 414120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifty-nine quarters of a gram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -129*z - 25840. Give q(-193).\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5 + -3)\/(0\/(-1) - 2). Let v be (l - 144)*(6 + -1)\/5. Let k = v + 531. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - n**2 + 6*n + 8. What are the prime factors of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6736)\/842*(-1)\/(1*-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -3, -84, -1, -131, 3 in decreasing order.\nAnswer: 3, -1, -3, -7, -84, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + j - 2*j)*(10*j - 4*j**2 - 10*j)*(-11 - j + 11) + (3*j**3 - 3*j**3 + j**3)*(-4*j + 6*j - j) - 4*j**4 + 5*j**4 - 2*j**4.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 88*u - 10 - 7 + 5*u - 185*u + 4*u to r + x*u and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6108 + -6109. What is the nearest to -1\/3 in -4, v, 1, 2\/111?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, c: 2, l: 4}. Give prob of sequence ll.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*o - 18073, 37*o - 32*o = 2*l - 12055. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 196741629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1685.06 + 0.2\nAnswer: 1685.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s\/s**(-18))\/s))\/(s**(-4\/11)\/s)*(s*s*s**0)**(-7\/4) assuming s is positive.\nAnswer: s**(-421\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 11:07 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + (202 + -11)\/(-1 + 2). What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 120*q - 56. Let p(o) = 2*o - 1. Let y(m) = 224*p(m) - 4*z(m). Let w(s) = 3*s. Calculate y(w(n)).\nAnswer: -96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*u**3 - 1895*u**2 + 2140*u - 195 = 0. Calculate u.\nAnswer: -39, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*p**5 + 882*p**4 + 4332*p**3 + 5514*p**2 + 2361*p + 324 = 0. Calculate p.\nAnswer: -27, -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q - 9 = -8*q. What is the units digit of ((-55)\/(-20))\/(q\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -1\/4, 5, 4, 3\/7, -206?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 5) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-420)\/294 + 117\/(-70) and -41\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/8*(0 + -1)*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -21*k + 9. Let d(o) = 3*o**2 + 30*o + 55. Let v be d(-8). Let h(z) = -10*z + 4. Calculate v*h(f) - 3*r(f).\nAnswer: -7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 136*j + 7990. Calculate v(-59).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**4 + 10824*n**3 - 21669*n**2 - 32490*n = 0. Calculate n.\nAnswer: -3610, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 2*h + 9, 2*x + 5 = h + 10. Let s(n) = n**3 + n**2 - n. Calculate s(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0999998 + 0.1. What is p rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 0)\/((-2)\/46). Suppose 0 = c + 4*g - 11, -4*c + 5*g = p - 4. Let y = -5 - 0. Sort -4, c, y.\nAnswer: y, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/16835973 or 1?\nAnswer: -4\/16835973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-4\/19))\/(o*o*o\/(o**(3\/23)\/o)))\/((o\/(((o**(-17)\/o*o)\/o)\/o))\/o*o*(o\/o**(-7)*o)\/o) assuming o is positive.\nAnswer: o**(-13582\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(220\/8))\/(((-180)\/55)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.3 and 20855.33?\nAnswer: 20858.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173904276.\nAnswer: 2, 3, 7, 13, 71, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 40, 82, 130, 178, 220, 250, 262?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s**2. Let q(a) = a**3 - 29*a**2 + 27*a + 50. Let d be q(28). Let l(j) = 29*j + d*j - 63*j + 17*j. What is l(g(o))?\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9281 - 5825. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/8 - 10\/24. Let m = 0 - 1. Suppose 72*n - 74*n = 7*d + 56, 0 = 5*d + 40. What is the closest to w in n, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7335823 is divided by 29942.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -196*s - 883. List the prime factors of h(-10).\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.9 + 0.9. What is the second smallest value in -2, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35778 divided by -5963\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4517*a**4 + 3*a**3 + a - 14790 wrt a.\nAnswer: 18068*a**3 + 9*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j - 3*j + 0*j + (-1 + 6 - 2)*(-5 + 5 - 4*j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaao when four letters picked without replacement from {v: 1, a: 6, o: 10}.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 25405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4762.9 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -166, -257, -348?\n\"Answer: -91*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 h when three letters picked without replacement from nhlll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -z + 5*z - 680004, 3*o - 679994 = -4*z. Let m be z\/6*(-30)\/2. Let h be (40\/(-2))\/(1\/m). What is h rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 24 = 7*j, 3*h = 8*h - 3*h + 3*j for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**3 - 4*q + 3. Let h be n(1). Factor -8*p**h + 7*p**2 - 23*p**5 + 27*p**5 + 4*p - 7*p**2.\nAnswer: 4*p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.111 and -1?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860794973?\nAnswer: 37, 61, 381389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8513375, -17026765, -25540155, -34053545, -42566935, -51080325?\nAnswer: -59593715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*b*x - 178391583*b - 43*x**4 - 2482*x with respect to x.\nAnswer: 4*b - 172*x**3 - 2482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*((h\/h**10*h*h)\/h)\/h)**(-41)\/(h**(24\/11)*h**34*h) assuming h is positive.\nAnswer: h**(3199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -329*m**3 - 35*m**2. Let w(i) = 55*i**3 + 6*i**2. Give -6*o(g) - 35*w(g).\nAnswer: 49*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of 5*c**4\/48 + 635*c**3\/24 + 315*c**2\/4 - 45*c - 15. Let q(l) = 0. Calculate l.\nAnswer: -126, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 - 4*n**3 + 6*n**3 + (0*n + 0*n - 2*n)*(-2 + 4 + 0)*(2*n**2 - 2*n**2 + n**2).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.213 times -1393?\nAnswer: -296.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x**3 + 2*x**3 - 40793 - 81252.\nAnswer: -x**3 - 122045","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 220063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 15 + 15. Let k = o - -13. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7439 and -0.3.\nAnswer: 7438.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, h: 1, o: 2, y: 9, c: 3}. Give prob of picking 2 c and 1 h.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 6*w**4 - 4*w**2 + 4*w - 15. Let d(x) = -5*x**4 + 5*x**2 - 5*x + 15. Let s(o) = -4*d(o) - 5*l(o). Differentiate s(j) with respect to j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7835.742 kilograms in nanograms?\nAnswer: 7835742000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/24290006 and -73\/162604?\nAnswer: 2866220708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) -287  (c) 0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -10 + 6*y**2 - 11 + 16*y**2 + 8. What is the units digit of l(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 93, 0, 30, -7, -2, -5, -116 in ascending order.\nAnswer: -116, -7, -5, -2, 0, 30, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9226?\nAnswer: 2, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l + 4*l - 2*l)*(-2 + 3 - 2) + (4 - 3 - 4)*(l - l + 3*l) - 1 + 2*l + 1 to a*l + k and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 8:41 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -2, -54, -0.4 in increasing order.\nAnswer: -54, -2, -0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51 * -9746451.\nAnswer: 497069001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 2.9. Let f = -0.0161 - 5.3279. Let s = f - -0.344. Sort 3, z, s, -2\/7.\nAnswer: s, -2\/7, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 26461.8  (c) -0.516\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5*6*4\/(-30). Let x(z) = 1 - 3 - h*z + 2. Let c(i) be the third derivative of -i**4\/12 + i**2. Calculate c(x(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 56*o + 506. What is n(-11)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*(p*p*p\/(p\/(p*p**(-1)*p))*p)\/p)\/p*p)\/p)**(-2\/9))**(2\/21) assuming p is positive.\nAnswer: p**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 161626 at least as big as 161616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -85770\/11 >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37920 and 85896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(245))*-3*5 + -4)**2.\nAnswer: 3990*sqrt(5) + 55486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = c + 5. Let u = -1 - c. Suppose -u*s = 3*b - 208, s + 3*b - 98 = -s. What is the greatest common divisor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 28*v**2 - 173*v + 12. What is c(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -521*n - 2224?\nAnswer: -521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6970.4 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0*l - 12 = 4*c, l - 24 = 5*c. Let j = 189 + -169. Let w be (20\/5 - j)*(-3)\/6. Solve w*r + l = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - 7. Let p be k(-3). Solve -p*n = 2*a + 6, 20 = -2*a - 3*n + 8*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 7. Let j = 10 + o. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -1100012210?\nAnswer: -1100012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, 18784, 1\/2, -2, 0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*y + 44 = -11*y. Suppose -y*q + 75 = -8*q. Calculate the highest common factor of q and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*d + 76*d + 670 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -54.02 and 189.1.\nAnswer: -10215.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000353633228 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 442000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 11:42 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, -5, 36, -32, 5 in increasing order.\nAnswer: -32, -5, 5, 36, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 7306 = -978. List the prime factors of d.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -6*s + 7. Let g(j) = -j. Suppose 2*z + 16 = 14. Let u(o) = z*h(o) + 5*g(o). What is the derivative of u(t) wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2260980888\/23 - -98336708. Let s = 320464699\/9660 - n. Let p = 2\/105 - s. Find the common denominator of p and 111\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -224931 and 2.953382756.\nAnswer: -224928.046617244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 1:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.17 * -3.51414.\nAnswer: -0.5974038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 t when four letters picked without replacement from {t: 9, w: 9}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 327 - 319. Solve -o + 19 = -j + 5*j, 0 = -2*j - 2*o + h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*4\/(-8)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -26*x + 4. Let q(l) = 2*l. Let r be q(1). Suppose r*z - j = 19 + 8, -2*z + 7 = -5*j. What is the remainder when o(-1) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 - -922?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -0*y + 275. Let g be (-308)\/y + (-4)\/10. Let d = g - -8. Solve 0 = -d*r - 8 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38, 45, 52, 59, 66?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1462*b*f*z**3 + 11*b*f*z**2 + 16*b*z**3 - 6*b*z**2 - b - 4*f*z + z**3 - 37*z**2 wrt f?\nAnswer: -1462*b*z**3 + 11*b*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 570, 780, 1338, 2418, 4194?\n\"Answer: 29*i**3 + 7*i + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1703924956.\nAnswer: 2, 59, 61, 118361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/15  (b) 1199  (c) 0.5  (d) -5  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + 5. Calculate the smallest common multiple of 11 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9360\/351)\/40*1\/(-33)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*r**3\/11 - 276*r**2\/11 + 4134*r\/11 - 20280\/11 = 0. Calculate r.\nAnswer: 13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -93400686 + 0.11?\nAnswer: -93400685.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.64376 years in centuries?\nAnswer: 0.9264376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1508, -1514, -1520, -1526, -1532, -1538?\n\"Answer: -6*v - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -153 + 145. Suppose -5*u + 0*u - 850 = 0. Let x be (d\/u)\/((-4)\/10). Which is the third biggest value?  (a) 2  (b) -6  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 448 and 808384?\nAnswer: 5658688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3422.\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/22)\/(3\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**1)**18*i**(-5)*i*i**(-2\/19))\/(((i*i*i**(-8))\/(i**(2\/7)\/i))\/(i**(2\/7))**(-2\/7)) assuming i is positive.\nAnswer: i**(17781\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.9 times 4?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*b**4 + 5 + 7*b**4 - 3 + 2*b**2 to s*b + h*b**3 + i*b**4 + a + y*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -135576970158 minus -39.6?\nAnswer: -135576970118.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 - 14f?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6085, -6103, -6127, -6157, -6193, -6235?\n\"Answer: -3*t**2 - 9*t - 6073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 71*m**4 - 5*m**3 - 69*m**4 + 4*m**3 - 24*m**2 + 3*m**4 + 24*m**2 + (0*m + 0*m - m**3)*(1 - 1 - m) as v*m**3 + h*m**2 + l*m**4 + q + f*m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5896050 divided by 6.\nAnswer: 982675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -194*d + 23 - 3 - 20 as c + y*d and give y.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 13*p**2 - 13*p - 9. Let l be h(-12). Let q be -2 + (7 - l) + 7. Let a(d) = -d + 17. What is the least common multiple of 10 and a(q)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22\/73 - -227\/511. Put i, 2\/41, 0.5, 0.4 in ascending order.\nAnswer: 2\/41, i, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -111287493, -445149993, -1001587501, -1780600023, -2782187565, -4006350133?\n\"Answer: -c**3 - 111287498*c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207946.\nAnswer: 2, 173, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -o - 10*o**3 + 6*o**3 + 3*o**3 - 2 + 1 in the form t*o**2 + a*o**3 + i*o + u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 8:38 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 2, -10, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4455)*-2 + sqrt(55)*-1*3)\/(sqrt(44) + -4*sqrt(6336) - sqrt(44)).\nAnswer: 7*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x - 20. Let r be a(-6). Suppose -s - r*s + 25 = 0. Let y(n) be the first derivative of n**3\/3 - 3*n**2 + 6*n + 2. Calculate y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 15. Suppose -k = -2*o + 7*o - 29, -17 = 2*k - h*o. What is the remainder when 18 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 13 = -5*a, 0 = 7*a - 5*a + 2*f + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 1 = -6. Let t be u\/(35\/(-20)) + -1. Let p = 112 + -129. Sort -3, p, t, -5 in descending order.\nAnswer: t, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.41 or 10942654?\nAnswer: 10942654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*x - 20 = -4*b, 3*x - 2*x + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 21*o**2 + o + 2. Let z be a(2). Suppose 0 = -2*h + 6*h - z. Calculate the smallest common multiple of h and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04328 minus -2594.5?\nAnswer: 2594.45672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 0*q - 3 + 1 + 3*q**2 + 2*q. Let k(o) = -o**2 - o + 1. Let x(w) = w**2 - 8*w + 8. Let b be x(7). Give b*y(f) + 2*k(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**5 + 2*n**5 + 5*n**5)*(6 + 0 - 3) + n**4 + 4*n**5 - 4*n**5 - 2*n**5.\nAnswer: 10*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 10, s: 1, v: 2, h: 7}. What is prob of sequence vbb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12734191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34239*a**2*q - 2*a*q + 4*a + 2*q - 64 wrt a.\nAnswer: 68478*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2\/847  (b) -0.2  (c) -379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 323 and 17819587.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of -1\/24*b**4 - b**3 - 33*b**2 + 0 + 0*b. What is the first derivative of n(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((480\/(-104))\/(-4))\/(125\/50).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaawaaaaaaawwwaaa. What is prob of sequence wwa?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (64 - 0)*3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jtp when three letters picked without replacement from {j: 1, p: 1, c: 9, t: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-649)\/(-1652)*(-1740)\/(-957)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 606 (base 7) in base 16?\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 19118*n + 1013245. What is g(-53)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 305 divide 17199106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 6963*l**4\/4 - 123*l**2\/2 + 10*l + 1022. Find the second derivative of n(i) wrt i.\nAnswer: 41778*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.8362 - 3.3362. Put 2\/11, -2, v, 12 in descending order.\nAnswer: 12, v, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17537*i**3 - 87*i**2 - 8759*i**3 - 8774*i**3 - 135*i**2.\nAnswer: 4*i**3 - 222*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 3:08 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33*64\/7392*-5*9\/6?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 158 + -156. Put 14, -3, g in decreasing order.\nAnswer: 14, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**2 - 3*x + 5. Let i(s) be the third derivative of -s**5\/20 - s**4\/12 + 5*s**3\/6 + s**2 + 189*s. What is 2*g(f) - 3*i(f)?\nAnswer: 3*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.6 - 2.5. Let d = 3 + -6. Let t(y) = -y**3 - 3*y**2 + y + 4. Let i be t(d). Which is the third biggest value?  (a) 5  (b) o  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b + 2*b + 0*b + (b - 2 + 2)*(-1 + 0 + 2) + (5*b - 2*b - b)*(-1 + 5 - 2) - 2*b + 4*b - 8*b + 104*b - 262*b + b.\nAnswer: -156*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 + -0.3. Let u = 0.2 + 0. Let s = -0.2 - -0.3. Which is the closest to s?  (a) u  (b) q  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 119 * -8.5\nAnswer: -1011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -13*v + 219. Let w(a) = -3*a + 44. Let c(n) = 11*w(n) - 2*z(n). Calculate the remainder when 42 is divided by c(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 404*u + 1 - 7 + 5)*(-157*u**2 + 503*u - 503*u).\nAnswer: -63428*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a factor of 9504329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o - 17. Let j be p(16). Let q be 5\/((4\/j)\/(-4)). Let v(t) = -t**2 - 7*t + 4. Let s(z) = -z**2 - 8*z + 5. Determine q*s(a) - 6*v(a).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(2\/49)*12\/(-7). Let l be 2\/(-18) + (-6)\/f*0. Which is the second smallest value?  (a) 1  (b) 5  (c) -3  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = p - 135. Suppose -10*w - 8 = -12*w. Calculate the remainder when 79 is divided by p + w\/(-1) - (1 + -1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1285401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2190029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 151, 375, 745, 1333, 2211?\nAnswer: 3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -12*u + 8*u. Suppose 3*l - 12 = 3*f, u*l - l = -f - 4. Sort 4, -2, -3, f in decreasing order.\nAnswer: 4, -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o - 2*o**2 + 4*o - 4*o**2 + 0*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - (-299)\/26) + (185\/(-66))\/(-5)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 666 by 88224.\nAnswer: 111\/14704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4844 = 30*x - 37*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**2 - 44*v**4 - 9517*v + 9517*v + (2*v**2 - 1 + 1)*(-5*v + 5*v - 2*v**2).\nAnswer: -48*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-265)\/25 - 48\/(-120)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3 = 0, 0 = 4*u - 3*g - g - 16. Suppose -3*s + 230 = -u*s. Let m = s + 181. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007737 to six decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (115\/(-69))\/((-5)\/6) + 0. Let z(m) = 36*m**2 - 23*m**2 - 19*m**o. Let i(t) = -2*t + 0*t**2 + 2*t + t**2. What is z(i(l))?\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-6298)\/(-8930) + (120\/(-57) - -2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25783892863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415916400?\nAnswer: 2, 3, 5, 571, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v + 2. Let y(b) = -9*b + 4. Let c be y(-1). Let f be (0 - -1)*5*3. Let r = c - f. Determine k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(sqrt(3)*3) - (2 + sqrt(5)*3 + sqrt(5))**2) + sqrt(15)\/sqrt(3)*-1 + sqrt(15)\/sqrt(27).\nAnswer: -84 - 49*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -98d8d - 167?\nAnswer: -99116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1405 (base 6) to base 4.\nAnswer: -11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 8*l**2 + l + 10. Let u be m(-8). Suppose -u*b = -b - 9. What is the highest common divisor of b and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 2) + -3 - 3 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 10. Let n be w(-7). Suppose -266 = -3*l - 4*v, -5*v - n = -28. Suppose 100 = -4*g + 4*b, 2*g + 2*g + 5*b = -l. Round g to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26a28 (base 15) to base 8.\nAnswer: 361614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 336 and 340382448.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 3*u - 11 = 24, -2*m = -2*u - 14. Differentiate m - 2*s - 3 - 1 with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -4*m + 3*s - 95, -4*m - 10*s = -402 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2028890 is divided by 1014393?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5332811.\nAnswer: 11, 167, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 10 + (28 - 64).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000004863 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -3*f**2 - 86685*f - 73796778 = 0.\nAnswer: -28017, -878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 20*t**2 - 23*t - 29. Give j(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -14*r - 256. Let z(u) = 2*u**2 + 18*u + 3. What are the prime factors of z(r)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -125 + 129. Let g(c) = -4*c + 1. Let l(z) = 21*z - 6. What is x*l(d) + 22*g(d)?\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*r + 30 = 0, t - 16 = 5*r + 12. What is k in -2 - 225\/2*k**2 + 162*k**t + 26*k = 0?\nAnswer: 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - j - 12. Let y = -494 - -510. Suppose y - 21 = 5*k + 5*r, 5*r = -k - 5. What is the closest to j in -0.2, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*k = 19 + 86 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**2 - 6*a. Let v(m) = -1072307*m. What is i(v(k))?\nAnswer: 3449526906747*k**2 + 6433842*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = 4*k - 465. Let h = k - -63. Let i be (125*h)\/((-9)\/82320). What is i rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -30, -25, -8, 27, 86?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 40410 plus -0.458931?\nAnswer: 40409.541069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/2 - 2812887*p\/2 + 22503224.\nAnswer: -(p - 16)*(p + 2812903)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.5 - -14.5. Let q be (12\/(-10)*1)\/((-14)\/35). Let s be q\/(-2)*8\/(-9). Which is the third biggest value?  (a) x  (b) s  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q**3 - 7*q**2 + 11*q - 7. Determine g(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of 517*i**3\/6 + 565*i**2\/2 + 558*i. Find the first derivative of b(g) wrt g.\nAnswer: 517","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 2 - (3 + 1 + 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the remainder when 93624 is divided by 2033?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*i - i - i**2 + 3 + 8*i + (-2*i**2 - 10*i**2 - 8*i**2)*(-2 + 3 + 2) to t*i + d + u*i**2 and give u.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1455523915.\nAnswer: 5, 291104783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o**2 - 2*o + 2. Suppose n - 3*b = 14, 3*n - 6 = -0*n - 3*b. Suppose c - 2 = -5*k, 3 = n*c - k + 19. What is u(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d. Let v(n) = -11572*n. Calculate -2*v(h) + 10520*x(h).\nAnswer: 2104*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - (-1)\/(8\/(-19)). Suppose -2*o + 5*k - 3*k = -8, -5*k - 28 = 3*o. Let u = 0.4 - 2.4. Which is the closest to o?  (a) u  (b) 3\/5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10690722 by -93.\nAnswer: 114954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1527422 - 4?\nAnswer: -1527426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 - 2*v**2 + 0*v**2)*(-1 + v + 1) - 2719*v**3 + 1058*v**3 - 564*v**3 - 3088*v**3.\nAnswer: -5315*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24254 + -11554. Suppose 0 = -a + 3 + 33. Is 4\/18 - -1*t\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -4*d**3\/3 + 8*d**2 - 2. Factor j(m).\nAnswer: -4*m*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17515523*f**3 - 17515516*f**3 + 35031040*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2*v + 10 = 0, 5*s - v - 28 + 3 = 0. Suppose -s*u - 61 + 285 = 0. Calculate the remainder when u is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/6 + (3 - 1). Let t(y) = -18*y**2 + 148*y - 32. Let k be t(8). Put k, 1, n in increasing order.\nAnswer: k, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 439.6 - 440. What is the nearest to 0 in -0.3, 0.16, 4, d?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6.3 and -0.0899 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 122220826 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2660 divided by -6562\nAnswer: 1330\/3281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -u - 4*g, 5*u + g = 6*g + 50. Let t(r) = -u*r + 2*r + 2*r. Let b(i) = -i**2 + 5*i**2 - 2*i**2. Calculate b(t(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -3. What is the smallest common multiple of 1\/(-2)*(-7 - s) and 116\/14 + 216\/(-1638) + (-4)\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 6. Suppose 30 + 6 = -6*z. Let p be (5\/(-4))\/(z\/(-8)). Which is the smallest value?  (a) p  (b) 5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.014?  (a) -4  (b) 0  (c) 5\/3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/44, -25\/4, 6, -0.4, -6\/5 in descending order.\nAnswer: 6, 3\/44, -0.4, -6\/5, -25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**4 + 474231*s**3 - 24988021767*s**2 + 438864625029189*s + 877829205939342 = 0. What is s?\nAnswer: -2, 52693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s**2 - s - 5. Calculate the remainder when d(-5) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*j*m**3 - 2*j*m**2 - 60214*j*t - 38*j - 443*m**3*t - 2*m**3 - 4330*m**2 wrt t.\nAnswer: -60214*j - 443*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5399232 divided by -4?\nAnswer: -1349808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1556?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + 4*k - 2*k + (2 - 1 - 2)*(4*k + 2*k - 2*k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -557 + 173 + 9384*f + 1420*f wrt f?\nAnswer: 10804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 5*s**2 + 5*s + 2. Let w be u(-4). Let q be w - 3 - (-3)\/(-3). Let y(b) = b**2 - 2. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 145.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = o, 2*k = 3*o - 201 + 870. Let f = k - 91. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*y = 329, 0*z + 3*z = 3*y - 1047. Let k = 521 + z. Calculate the remainder when k is divided by 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-218)\/763)\/(((-2)\/(-1))\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 555303, 555306, 555309, 555312?\nAnswer: 555315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 830 and 121981780.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -425*b**2 + 425*b**2 - 3 - 29*b**3.\nAnswer: -29*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 158 - 321. Let f = y + 241. Round f to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -472 > -58168\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 110 = -108. Let l = 543\/5 - i. Let v = -0.3 + 0.5. What is the nearest to l in v, 0.3, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -8, 7, -5, -3, 1, 24 in increasing order.\nAnswer: -8, -5, -3, 1, 4, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 6 = -5*p + 3, n = -5*p + 6. Let x = n + -2. Let j(w) = 2*w - 5. Let l(s) = -s + 3. Let i(k) = 4*j(k) + 7*l(k). Determine i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3568395 and 2042.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -408 - -787. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**31\/(p*p*p**10) assuming p is positive.\nAnswer: p**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 421 - 6*x - 277 + x - 566.\nAnswer: -5*x - 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 284*y - 14675 = -846*y, -2*t - 49 = -3*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/8)\/(3\/(-4)). Suppose -4*f = -w*f + 2*u - 370, 575 = 3*f - 2*u. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 757856332 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a**3 - 51*a**2 - 1135*a + 6579. Determine g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/(-2 - -3))\/(-2). Let d be 4\/14 + 10*6\/(-252). Let t = 10\/21 - d. Which is greater: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 z, and 1 f when four letters picked without replacement from {z: 6, v: 2, f: 6, y: 1, l: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**3 - v**2 - v. Let t be d(-1). Suppose 2*b + 0 = w - 4, 5*w = t*b - 12. Suppose -4*j - 20 = -0*a + a, j = -4*a - 20. Is j < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 3*i**2 - 4. Calculate f(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 1:39 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 779568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (-1 - (-4 + 0))) + -11 - -47?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 100 - 97. Suppose -2*u = -t*r - 9, 2*r + 10 = 2*u + 2. Solve u*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -0.00434, 1\/4, -3\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -132.571 times -0.3?\nAnswer: 39.7713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z + 2*z + 3*z**2 - 2*z**2.\nAnswer: z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -105, -162, -173, -138, -57, 70, 243?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 285*q**2 + 7*q - 14. Let m(p) = -142*p**2 - 3*p + 6. Determine -6*k(t) - 14*m(t).\nAnswer: 278*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/(-85) + 196\/(-68). Let u be (-312)\/d - 6*6\/9. Calculate the highest common factor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 4*r**2 - 3202*r - 368184. Calculate z(-102).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, -65, -5 in decreasing order.\nAnswer: -1, -4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = j - 6*j. Suppose j*i + 19 = 2*q, 0 = -3*q + 2*i + i + 30. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/36 and 53\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - 4*u + 2*u**2 + (u - 2*u + 2*u)*(u + 3 - 3) + u**2 + 0 + 0 - 2*u**2 + 3*u**2 + 2*u**2 + (u - u + u)*(7*u + 227 - 227))*(-1 + 4*u + 1).\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -100*u**4 - 17520*u**3 - 724176*u**2 + 3784320*u - 4665600.\nAnswer: -4*(u + 90)**2*(5*u - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + w - 55 = 0, -4*o + 8*o - 3*w = 82. What is the remainder when 48 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 819028965 and 18?\nAnswer: 4914173790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*j = 87*j - 72. Solve -j*u - 14*u = -6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3809 * -0.2.\nAnswer: -761.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2852 divided by 31?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**2\/4 - 3*a\/2 + 3\/4 = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -2*j + 31*j + 48 + 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2865, 3355, 3845, 4335, 4825?\nAnswer: 5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.615 + 2.815. Which is the second biggest value?  (a) t  (b) 2  (c) 4.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 6*v**2 + 4*v - 5. Let o(z) = -z + 1. Determine -4*o(i) - w(i).\nAnswer: -6*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 s when three letters picked without replacement from zszszzszssssz.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*s - 0*s + 48. Which is the smallest value?  (a) 0  (b) -0.4  (c) s  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4313638?\nAnswer: 2, 7, 308117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -13 + 21 - 2*w + w. Let g = 939 - 929. Give p(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5*b**2 - 8*b + 15. Let j(q) = -q**2 - 2*q + 2. Let v(x) = -6*j(x) + y(x). Calculate v(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 12 + 25*i**2 + (-2*i + 3*i - 2*i)*(-2*i + 2*i - i))*(-89 + 271 + 228 + 189).\nAnswer: 15574*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -5*u - 2*w, -5*u - w - 4*w = -55. Solve 0*m + 5*m + 4*s + u = 0, 0 = -5*s + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -377885.204 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 7 - 1 = 0. Is 0 + 161 - 0\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 14*l - 12*l. Let s be ((-15)\/12)\/((-5 - l) + 6). Which is the nearest to s?  (a) 2\/11  (b) -1\/9  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x + n + 3, 49*x - 49*x - 4*n = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -74, -145, -216, -287, -358, -429?\n\"Answer: -71*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 431430 (base 6) to base 16.\nAnswer: 8a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-538)\/(-1834) - 68\/(-6426)*-27. Is 18 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2  (b) -187595\/4  (c) -4  (d) 2\/7  (e) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 471 a factor of 225679020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 441*o**3 + 2171*o**3 - 266*o**3 + 76*o**3.\nAnswer: 1540*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1. Let z(u) = 2*u + 6. Let g(k) = 6*j(k) - z(k). Suppose -26 = -5*d + 2*l, -3*d + 4*l + 8 = -4*d. Let y(s) = 4 - 3 - 1 + d*s**2. Determine y(g(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1052703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(108))*-5 - sqrt(108))*2 - ((-2*sqrt(192))\/sqrt(8))\/((sqrt(64) - (-2*sqrt(64) + sqrt(64)))\/sqrt(8)))**2.\nAnswer: 15123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 27. Let p be x(-15). Suppose -p*m + 1592 = -10*m. Suppose -8*r = -460 - m. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1755168?\nAnswer: 2, 3, 47, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*(-1)\/(-4) + 2. Let z(n) = -4*n + n + 4*n - 2. Determine z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -949*p + 445. What is the hundreds digit of t(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11918 + -11831. Suppose 97 = 2*f - 73. Is a less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -165*u + 114. Let j(v) = -v + 81. Give f(j(q)).\nAnswer: 165*q - 13251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/i**(1\/12))\/i)\/(i\/i**(-18)))\/(i**(-9\/4)\/i**(-9)) assuming i is positive.\nAnswer: i**(-149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1)*a*a*a)\/(a\/(a\/a**(2\/9)*a*a)*a)*a*a**(-1\/2)\/a*a\/(a\/((a**(2\/25)\/a)\/a)) assuming a is positive.\nAnswer: a**(611\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 4*a - 4, 3*a - 1 = -2*p + 4*a. Sort 4, p, -2, 1 in increasing order.\nAnswer: -2, p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001793 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2061)\/(-6)*(-4)\/(-3). Let m = t + -258. Let w = m - 91. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 183*f**8\/56 - 7*f**6\/30 - f**5\/10 - 485*f**4\/12 + 1364*f + 3. What is the third derivative of a(t) wrt t?\nAnswer: 21960*t**3 - 168*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 132*f**6*m**2 - f**6 + f**2*m + 52*f*m**2 - f wrt f?\nAnswer: 15840*f**3*m**2 - 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 288.3 + -305. Let s = m - -18.7. Let d = -12 + 9. What is the closest to 2\/7 in s, d, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2\/15, -1\/6, 0.4, -0.1, 2\/3 in descending order.\nAnswer: 3, 2\/3, 0.4, -0.1, -2\/15, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 435554 - 4?\nAnswer: 435550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1223, 5823, 13489, 24221?\n\"Answer: 1533*p**2 + p - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -63797?\nAnswer: -127594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - s - 34747 = 0, -2*s = l - 0*s - 6956. Round l to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2099*t**4 + 366*t**4 + 638 + 1780*t**4 + 2*t - 2311 - 840 wrt t.\nAnswer: 50940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + -0.3. Let k = 1 + w. Let s = -117.4 - -117. Which is the biggest value?  (a) -2\/9  (b) k  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1088 - 0.0912. Which is the nearest to 1\/6?  (a) -0.03  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 + 35. Which is bigger: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/6)\/q**(-45))**34 assuming q is positive.\nAnswer: q**(4607\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001687374 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -7. Let f = -2409.1 - -2409. What is the second smallest value in 2\/3, -0.02, f, m?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + 2)*35\/21. Suppose -2*j - 5 = -j, -w*n + j = -185. Let o = 50 - n. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-2 - 3 + 6)*(23 - 40 + 10 + 9*z).\nAnswer: 9*z - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246061986.\nAnswer: 2, 3, 293, 139967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 6678.70256 to the nearest ten.\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**5\/(d\/((d\/d**2)\/d)))**49*(d**1*d)\/d**(-2\/9)*(d**(1\/4))**(-27) assuming d is positive.\nAnswer: d**(3365\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1673725 to the power of 1\/2, to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - a + 311, -5*a - 385 = 3*f - 1312. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -7*n**3 - 7*n**2 - 7*n - 28. Let t be w(7). Let b = -42299\/15 - t. What is the common denominator of 71\/18 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of -z**5\/20 - z**2. Suppose 3*i + 2*g - 74 = i, -5*g = 20. Let u(a) = -i - 2*a + 41 + 0*a. Determine u(q(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 96, 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14, 65, 150, 269, 422, 609?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -62354, -62356, -62358, -62360, -62362, -62364?\n\"Answer: -2*l - 62352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express a**2 - 1623 - 46*a - 1621 + 6479 - 1615 - 1623 in the form p*a + k*a**2 + j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m - 22. Let y be o(-10). Let g be (-16)\/(-56) - (y - 57\/21). Put -2, 6, g in decreasing order.\nAnswer: 6, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -10, 3, 0 in increasing order.\nAnswer: -10, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-6\/5)*j*(j**(-27)*j)\/j)\/(j*j**(-18))**(-5\/8) assuming j is positive.\nAnswer: j**(-1513\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-9))\/(-2)*51\/(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of g**3\/3 + 203*g**2 + 548*g. Let y(z) = -2*z. Determine o(y(x)).\nAnswer: -4*x + 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2103 (base 4) to base 15\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2697199559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.7 - 0.3. Let p = -432 + 433. Let y = 0.4 + -0.8. Which is the closest to p?  (a) u  (b) 2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6293 - 4022. Find the common denominator of c\/(-210) + (-4)\/14 and 6\/(36\/65) + -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 599056?\nAnswer: 2, 37441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -85185 (base 9) to base 13.\nAnswer: -1c811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 6*p**2 + 5*p + 1. Let l be b(-5). Let y = l - -6. Suppose 6*r = r + 70. What is the highest common divisor of y and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 18.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -141 + 141 - 9*r + (-5*r + 3*r + 0*r)*(3 - 4 + 0)*(0 + 0 - 2) as a*r + w and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 * -1770.\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4472726747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -166 + -9ab?\nAnswer: -b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2082 + -2082. Suppose 2*p + t = 32, 0 = -4*p - p - 4*t + 83. Solve -5*v + 10*v - p = s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 6) in base 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2762829670.\nAnswer: 2, 5, 47, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89 - -76.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -3005\/851 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -2  (b) -0.02  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.978 - -1.0878. Round p to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - 24 - (9 + 9 + 4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*n*t**2 + f**2*n*w**3 + 5*f**2*n*w**2 - 480*f*t**2*w**3 + 17*f*w**2 + 2*t**2*w**2 wrt w.\nAnswer: 6*f**2*n - 2880*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -101101011000?\nAnswer: -101101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000426827 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 2*g - 4*a - 8, 0 = 3*g + a - 19. Is 7 a factor of 35 + 0 - (-4 + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 + 3*z - 30. Let o be u(7). Suppose 11*i - o = i. Solve 0 = -5*q + 5*g + 25, 3*q - 6*q = -i*g - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -9933*y - 19864. Determine n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -968*v**2 - 974*v**2 - 57*v**5 + 1943*v**2 - 3 wrt v.\nAnswer: -3420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0897699 rounded to 3 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + p + 27. Determine n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 498 is divided by 120?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gcgjgxcgghjglg. Give prob of picking 2 c and 2 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**5\/2 + 21*b**4\/2 - 72*b**3 + 108*b**2 + 648*b - 1944 = 0. Calculate b.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -19*p**6\/6 + 11*p**2\/2 + 3*p - 2. Differentiate g(i) with respect to i.\nAnswer: -380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 76 - -17. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/405 and 31\/4455.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, i: 4}. Give prob of picking 2 o and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(7 + -10 - -1). Let w be (-30 + j)\/10 + 8. Solve 2*m + 4*t = m + 13, -2*t = -m - w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 880808 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 512 (base 6) in base 4?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(5) + 0 + sqrt(245))**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 48680 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128731977?\nAnswer: 3, 11, 149, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**5 - 7980*p**4 + 7581600*p**3 - 2952450000*p**2 + 366694290000*p = 0. What is p?\nAnswer: 0, 230, 810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 8*d + 1. Solve -1 = 2*k + d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.11 + 1.11. Let t = 195\/8 + -191\/8. Which is the nearest to t?  (a) 4  (b) 0  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9585*c + 42 = -9606*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 441 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6234, -2982, 270?\n\"Answer: 3252*l - 9486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -2*a. Let u(d) = -d**2 - d + 5. Let v be u(a). Suppose -5*n = -2*l + 54, -v*l - 2*n + 74 = -32. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.428 in 1\/4, 2\/5, -1\/1168, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q - 1274 = 9*q. Suppose g - s - 117 = 70, -g - 4*s + q = 0. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/4 + 45\/(-10). Let d be j*((-105)\/50 + 2). Let z = 31.2 - 42.2. What is the third biggest value in z, 2, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of 3*p**3 - 1420*p. Let f(o) = 2*o - 261. Determine r(f(n)).\nAnswer: 36*n - 4698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(42)\/(sqrt(6) - (sqrt(6) - sqrt(6912)\/sqrt(8) - sqrt(6))) - 4*2*sqrt(252)))**2.\nAnswer: 10867612\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -0*m + 2*m - 18, 4*n = 12. Let b = m + 0. Suppose j - 1 = b. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -999\/7 + 143. Let i = -19\/42 + o. Let v = -0.05 - -3.05. What is the second biggest value in 5, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50643 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: Factor -3*x**2\/2 + 11559*x\/2 - 5778.\nAnswer: -3*(x - 3852)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 1 = -5. Let t be (1524\/(-15))\/((28\/(-10))\/(-7)). Let r = -255 - t. Put -3, r, q, 3 in descending order.\nAnswer: 3, q, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/3 + 94*c - 1360\/3.\nAnswer: -2*(c - 136)*(c - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1049811 is divided by 149970?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1 + sqrt(1088) - sqrt(1088)) + -2 + (sqrt(1088) + 0)*6 + 2*sqrt(1088)*1*4)**2.\nAnswer: 672*sqrt(17) + 213257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - v + 248. Let p = v + -60. What is the remainder when 71 is divided by (73 - -1)*p*(-2)\/(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (-13 + 5 - 5) + (0 - -46)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*b + 58*b + 23*b.\nAnswer: 112*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -181?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -39 + 55. Suppose 3*h - n - 2 = 0, 2*h = 4*h + 3*n - d. What is the closest to h in 0.2, 2\/31, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 10 = 15. Let o be 4*2\/(2\/t). Solve 0*q = -o*q - 8, h = -2*q - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*a + 21 = 5*c, 5*a = -5*c. Suppose 2*k + 4 = c*k. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9004877 - 144134817\/16. Let i be 478683\/135 - (-12)\/10. Let k = i + o. Find the common denominator of 65\/14 and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 3*c + 65 - 166 = 0, 100 = 4*z + 4*c. Calculate the greatest common factor of z and 2354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7.628168 - 7.63. What is b rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(567) - (sqrt(70) - (sqrt(70) + 1*sqrt(70)))\/sqrt(10).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -97382 + 190459. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 5:40 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 0, 7 in decreasing order.\nAnswer: 7, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -165724 smaller than -1491520\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 236720 is divided by 78905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 4*q, -4*q - 14 + 17 = 5*z. Solve r - z = -k + 1, -2*k + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 15*a + 3. Let n be w(15). Suppose -n*x = y - 3*y + 27, 4*x = 2*y - 30. What is the remainder when 15 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81745 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4736 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*n - 1 + (6 - 1 + 2)*(-3*n - 2*n + 6*n))*(-21 + 2 + 2 - 8).\nAnswer: -125*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1181804 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.50832166 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -54482*w**2 - 446 with respect to w.\nAnswer: -108964*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22\/723 or 0?\nAnswer: -22\/723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*k + 9, 0 = 17*k - 12*k + 2*h - 6. Is -2\/1229 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 124 by -69234.\nAnswer: -62\/34617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 0*s = -10. Find the third derivative of 0*h**3 - 2*h**3 - h**3 + 2*h**s + 0*h**3 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 + -35. Suppose 117*c + 29*c = 21900. Calculate the smallest common multiple of n and c.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -111 - -113. Suppose -93 + 81*t + 99*t + 2*t**2 - m*t**2 - 92 + 5*t**2 = 0. Calculate t.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + 4*z + 7. Let n be t(-2). Let y(d) be the second derivative of 0*d**2 + n*d + 0 + 1\/6*d**4 + 0*d**3. Let u(q) = -10*q. Calculate y(u(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 6*w - 9*w. Let u = w + 74. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73905, -73909, -73913, -73917?\nAnswer: -73921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by -159423.\nAnswer: -5\/53141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbtttsbbtntbn. Give prob of sequence bt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*t - 79. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/539 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6653 - -6678. Solve 2*o = -4*x - 5 - 21, 0 = -2*x - 5*o - f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*(-1)\/(2\/4). Suppose o*q - 31 = -2*i + 29, 3*i = 3*q + 60. Suppose -4*k + i = -47. Solve -4*z - 2*l = k, 5*l = -4*z + 2*z - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -229)\/(-1*3). Let f = -75 - p. Let b = -0.13 - -0.03. What is the nearest to 1 in b, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 4*i = -12, -2*o + 5*i - 3 = 4*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102\/340 - 143\/1210.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 80 + 16 + 108 - 2*u + 114 - 42.\nAnswer: -2*u + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*(-7)\/(-28))\/((-3)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x = -2*q + 352 - 324, 6 = -3*x - 2*q - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7598 + -0.5932445.\nAnswer: 7597.4067555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = t + 6, 0 = 4*f - 20*t + 19*t - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-7))\/s)**(-6\/19) assuming s is positive.\nAnswer: s**(-42\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -7*(-4)\/(-112) - -87*(-3)\/(-708). What is the second smallest value in 2, h, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 114*d**2 + 348*d + 2396. Calculate z(-7).\nAnswer: 5546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-0.0605\nAnswer: -0.00605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85170351.\nAnswer: 3, 7, 1103, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.2 - 2. Let p = 1292 - 1297. What is the fourth smallest value in 4\/7, 0, p, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 4*u = -16, -3*i + 3*u + 364 = 379 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4621621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 15. Let m(i) = -4 + o + 3*i - i. Let v(p) = -1. Let d(k) = m(k) + 6*v(k). What is the first derivative of d(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 742 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**2 - 2962424*r - 35548512.\nAnswer: -4*(r + 12)*(r + 740594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 28243685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22 - -13324242?\nAnswer: 13324220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29065898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 5*g**2 - 2*g - 49. Let w be c(-6). Let v(q) = -2*q**3 + 2*q + 1. Let t be v(-2). Let k = w + t. Solve -2*u - k = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + b**3)*(-b + b + b**2) + (-5*b**3 - 2*b**3 + 0*b**3)*(5 + 5*b**2 - 5).\nAnswer: -34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28*d**3*l**3 + 1935*d**3 - d**2*l**3 + 89*d*l**3 - 4*d*l**2 - 3*l**2 wrt l.\nAnswer: 168*d**3 - 6*d**2 + 534*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 794219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 25148629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125)*2*-6 + sqrt(125) - 2*(sqrt(125)*-1 - sqrt(125)))*-6 + 3 + 5)**2*-4.\nAnswer: -882256 - 13440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -402925, -1611817, -3626673, -6447493, -10074277, -14507025?\n\"Answer: -402982*m**2 + 54*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 7, 5.96, -2, 1.38, -1\/3, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -t**3 - 60095*t**2 + 188*t - 31.\nAnswer: -6*t - 120190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*v + 1928 = 69*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/(-2))\/((-1)\/(-4)). Suppose 0 = -k*z + z + 12. Let y = -74 - -76. Solve y*l + z = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*l = -2*l + 7, 3*l - 3 = 3*n. Suppose -n*v + p - 5842 = 0, 7294 = -5*v + 3*p - 6*p. Is 14\/8 + -2 - v\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i + 14. Let g(s) = -64*s + 10. Let n be g(0). Give q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.400547 + 12.20054696. Let x = p - -0.2. Round x to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 168*t**3 + 329?\nAnswer: 504*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26196536 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7424 and 26061696?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1088\/40 - (195\/(-25) + 8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -22\/3  (b) 1  (c) -14  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1034121 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/100 + 3\/5 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -62040342 divided by 113627\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -90 - -10. Find the common denominator of (-852)\/l - (-6)\/(-8) and (-60)\/(-40) + (-34)\/(-24) + 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-7) - 540\/210. Put -1, y, -9 in ascending order.\nAnswer: -9, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 2*t = -t - 12, t = 3*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*z = 2, 7*v - 4*v - 5*z = 5. Suppose -n + p + 3*p + 42 = v, 96 = 3*n + 3*p. Suppose n = 5*u - 6. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25184 - 12581. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 47360 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 19*h - 18. Determine u(-13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.915 + 0.06. Let r = q - -0.025. What is the smallest value in -0.4, 2\/3, r, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -231 + 247. What is the remainder when 44 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 0.2. Let u = 2626 + -2622. Let q = 5 + -7. What is the second smallest value in q, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1386 = 239*u + 6979. Is u less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 14\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -6. Let b = 6101 + -6108. Put -2, b, -0.3, d in increasing order.\nAnswer: b, -2, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/953700 and -103\/9727740.\nAnswer: 48638700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 3*n**2 + 137*n - 399. Calculate r(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -14 + (-507 - -511) + -44 - 9?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5985 or -1912?\nAnswer: -5985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 60*k**2 - 173*k + 174. What is h(1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 45 = 125. Let q be (-24)\/u*(0 - 6). What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1818797 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000111101011110 + 1110110?\nAnswer: 11000111111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/4*16\/720*-20. Which is the closest to 2\/13?  (a) -9  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (17 - (-16 + 21)) + 5 + -17 - (1 - 123)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 825, 1809, 2801, 3801, 4809, 5825, 6849?\n\"Answer: 4*z**2 + 972*z - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13078 = 948*y + 14414 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12 - -15)*(-14)\/(-6). Let n(b) = b**2 - 5*b - 10. Let q be n(r). Let p(o) = 2*o - 2. Let s be p(5). Solve -c + s = -q*y, 3*c - 7 - 9 = 4*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**14*c*c)\/c**(-3\/16))\/(c*c*c\/c**(2\/9)*c**2\/c) assuming c is positive.\nAnswer: c**(1931\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -147, -363, -725, -1233, -1887?\n\"Answer: -73*d**2 + 3*d - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 35157530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -165 - -174. Solve 0 = -4*h + l + 6, -h + 4*l + n = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 170650*b**3*n**3 + 361*b**2*n**3 + 995161743*n**3 with respect to b.\nAnswer: 511950*b**2*n**3 + 722*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/6, 6, 63, 0.1, 22?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18375 = -23*w - 1332. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - p + 0)*(-3 - 5 - 5) to the form q*p + y and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 6*l**2 - 10*l - 3. Let s(y) = y**3 - 6*y**2 - 9*y - 4. Let d(p) = -5*s(p) + 4*z(p). Let k be d(8). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/7, 14, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 divided by -547?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 130*l - 1132. Let v be a(9). Sort -1, 0.2, v, -0.5 in ascending order.\nAnswer: -1, -0.5, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 211313761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5*g - 30. Let q(y) = y. What is -j(t) + 6*q(t)?\nAnswer: t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/9 - 374*d\/9 - 376\/9.\nAnswer: 2*(d - 188)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -13, 9472.\nAnswer: -13, -5, 9472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, a: 7, w: 6, i: 1}. Give prob of sequence ai.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -4*j**2 - 69. Determine d(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01258060705 rounded to 6 decimal places?\nAnswer: -0.012581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*l**3 - 39 + 39.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {b: 1, o: 3, s: 2, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 14*o**2 + 48*o - 240. What are the prime factors of m(16)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/17952*-17*-8\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3154*v*y**2 - 4*v + 103*y**2 - 886*y - 21 wrt y?\nAnswer: 6308*v + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12868227 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 7  (b) 1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*a = 2029 - 849 + 773 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/36 and 61\/203930?\nAnswer: 3670740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 8*l**2 - 6*l - 2. Let w be j(7). Suppose -w*k - 19 = 3*z + 7, -2*k = -3*z - 19. Let c(n) = n**3 + 7*n**2 - 4*n + 4. Is 17 a factor of c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14054 - -166232?\nAnswer: 213316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -316709*l**5 - 52*l**4 - 93719*l**2 - 6*l - 2?\nAnswer: -19002540*l**2 - 1248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -5*l - 0 - 269, 5*g = 5*l + 245. Let j = l - -31. Let h be (-2)\/(-1 + j\/(-3)). Do h and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*h + 5*h + 3. Suppose -a - 15 = -z, h*z + a - 2*a - 37 = 0. Suppose 3*o - 8 = o + 2*u, -2*o - u + z = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 0.2, 3\/7, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2819818?\nAnswer: 2, 503, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -7. Let w(d) = -8001*d**2 + 2*d - 1. Let v be w(x). Round v to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2276349 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.674 minus 14201434.29?\nAnswer: -14201424.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 - -2)*(-6 - 7). Suppose 29 = -5*n + k. Solve n*u = -6 + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(3\/11)\/(g*g**(-25))*(g**8*g*g)**(-49) assuming g is positive.\nAnswer: g**(-5123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of z**5\/2 - 65*z**4\/12 - 85*z**3\/6 + 175*z**2 + 1529*z. Factor o(y).\nAnswer: 5*(y - 7)*(y - 2)*(2*y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 17*d**5\/60 - d**4\/3 + d**3\/3 - d**2. Let i be x(3). Suppose f + 3*b - 68 = 0, -4*f + 85 + i = -2*b. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*m - 3*s - 4, 5*m - 4*s = 26. Let v(g) = 2*g**2 - 16*g + 27. Let d be v(m). Solve -2 = f - d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -1. Let p(k) = 4*k - 2. Suppose s = 4*c - 11, 2*c = -0*s - 5*s + 11. Give s*p(t) - 4*w(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 18702.44g?\nAnswer: 18702440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 83 - -7. Suppose -h + 4*u + 48 = 0, h - 28*u + 26*u = 42. What is the highest common factor of h and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 707 = k, 704 = 2*p + 7*k - 5*k. Let f = -81 + p. What is the highest common divisor of f and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v + 23*v + 216 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - -29. Let a be (1 + d)*2\/6. What is the tens digit of a\/20 + 87\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (-1)\/4) + 1. Suppose -2*v + 5 = 3*j - 2*j, 5*v - 8 = -4*j. Let p be (v - 20\/3) + 3. Put -1, h, p in descending order.\nAnswer: p, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 438, -1\/3, 7, -0.5, 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - 0) + 17 + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3632 or -3631?\nAnswer: -3631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (100\/225)\/((-1)\/((-27)\/(-18)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2861, -22226, -74731, -176948, -345449, -596806, -947591, -1414376?\nAnswer: -2013733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*b**3 - 3*b**3 + b**3)*(-12*b + 42*b - 26*b) as v*b**4 + u*b**2 + j + w*b**3 + p*b and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 6*y - 4*i + 29, -3*i - 29 = -y. What is the remainder when 77 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.082 - 0.098. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 take away 23.6052152?\nAnswer: -14.6052152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/2625656 and 79\/716088.\nAnswer: 7876968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 16) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 115524 divided by -38508\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 1 = 0, n - 2*y + 5 = 59. Calculate the remainder when n is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from czzqcqcyzqzzc. Give prob of picking 1 q, 1 y, and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -976977 - 1?\nAnswer: -976978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*y + 36 = -124*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g**3\/5 + 129*g**2\/5 + 366*g\/5 + 48 = 0.\nAnswer: -40, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 1348.\nAnswer: -1\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**3 + 4*q**2 + 2*q. Let i be z(-3). Suppose -4*k + 0*k = -i. What is the highest common divisor of 147 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = t + 164, -h + 2*t - t - 160 = 0. Does 4 divide (-1)\/(-5) + h\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z - 122 = 8*w, -56*z = -57*z - w - 20 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f - 4. Let i(y) = y. Let c(a) = g(a) - 3*i(a). Let v be c(-12). Suppose v = p + 3. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13452 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2513 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62918 is divided by 242.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 2 + -23 + 19 + 2. Let g(l) = -3*l + 2. Calculate g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 + 7*q**2 + 5*q - 10. Calculate o(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -27720 divided by 990\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5*r - 59 = 0, 3*r + r = 4*o - 284. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gnhh when four letters picked without replacement from {g: 4, h: 2, n: 3, d: 9}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2070578 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from jjjuujiiwylwil?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6\/11 + -5\/11. Let c be (-16)\/(-396) - (-72)\/396. What is the second biggest value in -4, c, b, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/1760*10)\/(2\/(-4))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*b**2 - 570 + 578 + 52*b**2 to the form z*b + d*b**2 + k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 124 + -127. Which is the closest to -2\/3?  (a) 0.2  (b) f  (c) -0.2  (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -333 (base 8) to base 13.\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6*((-7392)\/(-3465) - (-4)\/(-5))*(-12)\/10\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51 + -63. Let a be (-14)\/((-3)\/(l*1)). List the prime factors of a*((-138)\/210 + 2\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(42\/10) - (4 - 5). Let 0*k + 2\/7*k**5 + 0 + 4\/7*k**4 + 0*k**2 + x*k**3 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -3\/49  (b) -42  (c) -3\/4  (d) -26\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a**(2\/89))*a)\/a*a*a*a**(-15) assuming a is positive.\nAnswer: a**(-1248\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3305*c**2 + 21. Let n(v) = 373464*v**2 + 2366. Determine 338*b(h) - 3*n(h).\nAnswer: -3302*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = b - 103. Let n = -49 + b. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -3389401.\nAnswer: -1\/3389401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -v - 3, 2*v + v - 3*d - 9 = 0. Let i = -2 + 11. Let u = 24 - i. Calculate the remainder when u is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -27, -5, 5, -14918 in ascending order.\nAnswer: -14918, -27, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 490142.6200069 - 490141.1. Let y = -49 + 47.48. Let c = y + j. Round c to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -5*y - 4. Calculate the lowest common multiple of 28 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*a + 0*a + a)*(-2*a**2 + 0*a**2 + 6*a**2) + 112*a**3 + 3169*a - 3169*a in the form y*a**3 + s*a + v + t*a**2 and give y.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 7:33 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 713111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -5*r**2 + 2 - 6*r - r**3 - 5 + 2*r**3. Let t be n(6). Let p = -1778 - -1778. Which is the second biggest value?  (a) t  (b) p  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 24 + (-843 - -794).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184489.\nAnswer: 184489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1088*o + 3 + 221*o - 3.\nAnswer: 1309*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -202 + 214. What is the greatest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + (-3 + -3771)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*j - 51*j = -v + 37, 21*j = 4*v + 97 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*t**2 + 3*t**2 - 4*t**2)*(-3 + 4 + 0)*(2 + 0 - 4 + (4 + 1 - 2)*(6 + 2 + 1)) to the form l + s*t + o*t**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 17703, 17797, 18021, 18429, 19075, 20013?\n\"Answer: 9*y**3 + 11*y**2 - 2*y + 17685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 24670 and 24669 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -5*z - b + 7, -b = -2*z + 10. Let s(m) = 4*m**2 + z + 6*m**2 - m**3 - 9*m + 0*m**3. What is the units digit of s(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1057 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 f, and 2 m when four letters picked without replacement from {d: 2, f: 2, m: 4, h: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 10 = q, -2*j - 31 = -2*q - 51. Let u(a) = -3*a + 7. Let p be u(-6). What is the greatest common divisor of j and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1151.98, -0.5, -3, -2, 0.06 in ascending order.\nAnswer: -1151.98, -3, -2, -0.5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -2 - (4 + 24 + -16 + -38)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1774622198508 - j**2 - 1774622198508.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + a)*((-3*a + 4*a - 2*a)*(0 - 2*a + 0) + 2*a**2 + 0*a**2 - a**2).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -5698 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -29 + (86 + 75 - (4 + 18))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14438974 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9875, 39444, 88739, 157772, 246555?\nAnswer: 355100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 118489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*s + 2*s - 5*s - 13*s + 62*s**2.\nAnswer: 62*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -20690*c - 206899. What is s(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.2, 83, -2 in decreasing order.\nAnswer: 83, 0.2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -67 - 33. Let f = j - -244. What is the greatest common factor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2\/11, -4, 3, -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mkxv when four letters picked without replacement from kvevxmmveeevex?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 88 divided by 55\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10888 - -15055. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -232 + 7*r - 17*r**2 + 12*r**2 + 233 - 2*r**4 - 7*r**3 in the form f*r**4 + n + b*r + j*r**3 + c*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 9*j = 6. Calculate the common denominator of (-14)\/92*j\/14 and -85\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1246143?\nAnswer: 3, 415381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 0) + (-13 - (-22 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/12)\/(((-152)\/2888)\/((-1)\/1)).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 + 2*t**2 + 2*t**2)*(-5 + 5 - 2*t) - 2*t**3 - t**3 + 2*t**3 + 2*t**3 + t**2 - t**2 - 50*t**2 - 4*t**3 - 1 - t + 50*t**2 - t**3 - 3*t**3 + 2*t**3.\nAnswer: -9*t**3 - t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 11\/(385\/10)*7*6. What is the third smallest value in 0.8, t, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 1)*(-9 + 2 + 19)*(c + 3*c - 2*c).\nAnswer: 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4508171 divided by 39\nAnswer: 4508171\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10659 - -10643. Let g(o) = o**3 + 16*o**2 - o - 55. Determine g(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.067964 plus -26630?\nAnswer: -26632.067964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 253158196 and -1458.43.\nAnswer: 253156737.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/((-10)\/6) - -6. Suppose -b*p + 305 + 685 = 0. Suppose -3*k + 394 = 5*u, 0 = -4*u + 2*k + 3*k + p. 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: What is the highest common divisor of 253423025 and 7325?\nAnswer: 7325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -676 + 612 = -16*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15115.345 - 0.9.\nAnswer: 15114.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**4\/12 + g**3\/2 - 5*g**2 - 1. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265 divided by -115613?\nAnswer: -1265\/115613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 greater than 1198\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 468 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/2)*z\/(z**(-6\/5)\/z)*(z*z**(1\/3))**(12\/5) assuming z is positive.\nAnswer: z**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gpppgpppppgggppp. What is prob of sequence pppg?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 6*l**2 + 4. Let f = -250 + 245. Let b(g) = 2*g**3 + 7*g**2 - 5. Calculate f*n(k) - 4*b(k).\nAnswer: -3*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 2*n**2 + n - 2. Let p be f(-3). Let j = -4 - -4. Suppose 2*k + j*k = -3*i - 10, -4*i = -k + 17. Sort p, 5, k in decreasing order.\nAnswer: 5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1289\/11 - (-54)\/(-297). Let n(v) = v**2 - 117 + y + v**2. Let g(x) = -2*x**2. What is n(g(r))?\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5882 + 5889. Which is the third smallest value?  (a) 2  (b) 4  (c) -0.2  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368 = -63*s + 65*s. Suppose -12*g = -16*g + 164. Suppose 9*y - s = g. Solve h = -4*h - y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + (-12)\/3*-1 - -4. Suppose 3*a = 2*y - z*y + 22, a - 4*y = -14. Suppose -a*g - m = 2*g - 36, -36 = -4*g - 2*m. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + 10d?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 92 + -42. Calculate the remainder when j is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.6  (b) 1  (c) -0.2  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3389, 6777, 10163, 13547, 16929, 20309?\n\"Answer: -m**2 + 3391*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z**4\/2 - 123*z**3 + 16753*z**2\/2 - 99876*z + 329672 = 0. What is z?\nAnswer: 7, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -t + k, -5*t + 17 + 29 = 4*k. What is the second derivative of -4*n + t*n + n**4 - n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196155002623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -8*c + 5. Let y(i) = -17*i + 11. Let v(t) = -6*t + 78. Suppose -3*f + 50 = 8. Let u be v(f). Give u*y(j) + 13*r(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1365 and 380185?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 330872 and 6844?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l. Suppose -2*z - 16 = -4*z. Let t = z + -4. Let q(p) = -2*p - t*p - p + p. Determine g(q(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-5 - -1)*66. Let p = -17 - y. What is the units digit of (p - (-1 - 3))*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -498 divided by -6?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 - 13. Suppose -d + 0*d = -b. Suppose 3*m + 18 = 6*m. Calculate the highest common divisor of m and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -21. What is the highest common divisor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3862442084 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -22843*f + 822199. What is r(36)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (((-1344)\/(-63))\/(-32))\/((-2)\/((-12)\/266))\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a**3 + 11*a**2 + 5*a + 12. Let z be b(6). Let i = 0 - 6. Let q = z + i. Solve q = r - 8 + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-0.661.\nAnswer: 2.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -121, 7, -3, -5, -11, -2 in decreasing order.\nAnswer: 7, -2, -3, -5, -11, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -5. What is the units digit of (2\/(-3))\/(r\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46586622 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, f: 9}. Give prob of picking 2 f.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494393165.\nAnswer: 5, 7, 23, 614153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -561*r + 556*r + 10. Suppose -2 = 3*i - 44. What is the greatest common divisor of r and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -386.029 + 761.532. Let x = 375 - i. Round x to two dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 7:13 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 203002 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 9:23 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5 - (-3)\/(-6)*6*-1. Suppose 2*p - 6 = -4*h, 2*p = 4*p - 3*h - 6. Suppose 4*b = -0*b + 5*o + 4, 4*o = -p*b - 28. Sort 4, z, 5, b in increasing order.\nAnswer: b, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 + 10*u + 3. Let m be o(-3). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -3*r + r + 18, 2*m - 23 = -5*r. Let g(j) = j - 7 - j**r - 4 - 12*j - 8*j**2 + 4*j. What is the units digit of g(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -19*x**2 + x + 100. Let d(p) = -5*p**2 + 25. Give -15*d(j) + 4*v(j).\nAnswer: -j**2 + 4*j + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 57\/(-18) - -3 - 3\/(-18). Let -2\/7*f**2 + n + 0*f = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 0 + 5 + sqrt(52) + -1 + -1.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w + 12. Calculate the remainder when 87 is divided by u(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-60))\/((-5)\/(100\/(-10))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -112975, -225961, -338947?\n\"Answer: -112986*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5 - (1 - (-3)\/(-3)). Let t = -2 - j. What is the third derivative of 3*x**4 + 3*x**2 - 3*x**5 + 0*x**5 - t*x**4 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c = 2*x - 13*c + 17, -2*x + 13 = c. Solve -4*j + 7 = x*b - 21, 0 = b - 2*j + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-69)\/6)\/((-3)\/402). Suppose -2*b = -3*z + m - 225, z - 444 = 2*b. What are the prime factors of z?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3422573465 and 1531?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uzuzu. Give prob of sequence uzzu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 713 and 42711?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3607 - 1193. Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, 2, -2, 18, -4932, 0 in descending order.\nAnswer: 18, 5, 4, 2, 0, -2, -4932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(5*v + 3 - 3)*(-v + 0*v - v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -197 - -197. Let p(w) be the first derivative of -1\/10*w**2 + n*w - 1\/5*w**3 + 1\/15*w**6 - 1\/20*w**4 + 3\/25*w**5 - 4. What is a in p(a) = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755379 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**3 + v**2 - v - 2. Suppose -3*l + 4*d + 48 = -7*l, -l - 12 = -4*d. Calculate the lowest common multiple of o(-2) and (18\/l + 3)\/(3\/8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 + 8 - (-24)\/8. Solve i - 23 = -3*g, 2*g - 18 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 25681*j**2 + 23*j + 7. What is the units digit of x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of 248*m**6\/15 + 179*m**2\/2 + 531*m - 2. Find the first derivative of d(s) wrt s.\nAnswer: 1984*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541669?\nAnswer: 541669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -573 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -176\/553 + -20\/79. Let h be (-2 - -2)*(-1)\/(-2). Let d be (h - 1)\/(3\/2). What is the nearest to -0.1 in j, d, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362 >= 338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5940 and 18645.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 49347 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from cxxxxcxxxccccc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pua when three letters picked without replacement from {a: 2, p: 1, h: 2, z: 2, u: 1, v: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b - 3. Let u = 11 + -8. Let m be d(u). Solve m*k + 16 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/3 + 242*v**2\/3 + 1508*v\/3 + 2032\/3.\nAnswer: -2*(v - 127)*(v + 2)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -141\/4 + 635\/18. Let l(v) be the third derivative of 0*v + 0 + 1\/90*v**5 - 2*v**2 + i*v**4 + 0*v**3. Determine d, given that l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 0.4. Let n be (-5 + 1211\/245)\/(1\/5). Let g = -2 - 0. Which is the third biggest value?  (a) m  (b) g  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 + (-56 - 38) + 13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-42) + (-170)\/119\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61980 divided by -5?\nAnswer: -12396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(13\/6))\/(x\/(x**(-28)*x*x))*(x\/x**(-1\/7))\/x**(-5\/6))**7 assuming x is positive.\nAnswer: x**(-550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**4 - 70*f**3 - 165*f**2 + 560*f - 320.\nAnswer: -5*(f - 1)**2*(f + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 3*p - 17 = 0, -2*s - 1 = -0*s + p. Let d = -8 - -5. Let f be ((-4)\/(-3))\/((-1)\/d). Solve -22 = f*j + s*g, 5*j + 11 + 19 = -3*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/6 - (-32)\/(-30). Suppose -5*l + 14 = -o - 6, -2*o = -2*l + 64. Let v be 20\/o - (-6 - -6). What is the third smallest value in c, -1.2, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4*s**2 - 8*s - 6*s**2 - 5 + 3*s**2. Let h be u(9). Suppose 0*l - 104 = -h*l. Solve -v - 24 + 7 = 3*r, 4*r = -2*v - l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-91)\/((-1820)\/200)*(-2)\/8\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 5*y - 1. Let i(x) = x + 4. Let a be i(0). Let b be u(a). Suppose 0 = -b*s + 524 + 16. Calculate the highest common factor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) 2\/9  (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 649023078 less than 0.01?\nAnswer: -649023077.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3614*a**3 - 3*a + 5 wrt a?\nAnswer: 21684*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*t - 3*l - 3, -5*t + 16 = 2*l. Let w(y) = 4*y**2 + 2*y**3 + 4*y**t + 1 - 9*y - y**3. Calculate the lowest common multiple of w(-9) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 7 = 2*w, 3*v + 0*w - 62 = 10*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10414 = 51*f - 12607. What is the remainder when 2826 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 148 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 19 from 540.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*b + 5*b**3 + 5*b + b + 2*b wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 12*a**2 + 105*a**3 + 32*a - 14 - 104*a**3 - 13 + 7*a**2. Let r be w(-17). Solve 0 = -2*v + r - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1449941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24849 and 1584.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 22567\/30 + 2 + (-10 - -6). Let f = 3812\/5 - w. Find the common denominator of f and 17\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1012611103?\nAnswer: 7, 17, 953, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*x - 3*x - x)*(15*x**3 - 29*x**3 - 43*x**3) + 2*x**4 - 6*x + 4 + 8*x - 4*x**4.\nAnswer: -116*x**4 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 6 and -3613.\nAnswer: -3607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*z - 65*z - 40*z. Put z, -6, -24 in descending order.\nAnswer: z, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -30 - (-3 - (-1 - 3 - 5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 167*a**4*j**2 + 2*a**2*j**2 + 116*a**2 + 2*a*j wrt a?\nAnswer: 4008*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*d - 457857 + 334183 - 374901 = 0. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ujuu. What is prob of sequence jjjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - f = 22, u - f - 3 = -2*f. Let m(a) = -3*a - u - 26*a + 5. Is m(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 33 = 7*y - 4*u, -2*u = -3*y + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -u**9\/1008 - u**5\/60 + u**3 + 4*u. Let z(v) be the second derivative of s(v). What is the second derivative of z(y) wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 3:24 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1580 and 15484?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 0*u + 1 + 2*u - 10. Suppose 2*z + 28 = 20, -4*z = 3*c + 7. Let v be k(c). Put 0.02, v, -1\/2 in descending order.\nAnswer: 0.02, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 9 = 2*q, 3*d - q - 13 = -2*q. Solve -3*l = -2*t + 17, -d*l - 3*t - 11 = -2*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(88\/(-4)) + 12\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, -2.3, -2\/1731, -0.3, 30 in descending order.\nAnswer: 30, -2\/1731, -0.3, -2.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**0*a)*a)**(2\/101)\/((((a**0\/a)\/a)\/a)\/a**(-1\/3)))**(15\/4) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92053*j - 92131*j + 1404 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - f + 1. Let b(k) be the second derivative of -k**4\/6 + 2*k**3\/3 - 2*k**2 - 626*k. What is -b(c) - 3*d(c)?\nAnswer: 5*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ygyzydzccynd. Give prob of picking 1 c and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 3 e when four letters picked without replacement from {l: 5, e: 7, o: 3, q: 3, d: 2}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -48671\/15 + 3246. Calculate the common denominator of 61\/10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153023214563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 407*f**2 - 5127*f - 56. What is z(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/330*-2)\/(352\/(-2904)). Solve 0 + n**2 + h*n**3 + 1\/2*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*f + 94291 = 95409 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4763 - -9033. List the prime factors of r.\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1013 + 1694. Let n = 685.09 - r. What is n rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from fwfwdfyfvd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -6*k**2 + 30*k - 7. Let y(q) = -q**2 + q - 1. Calculate 2*o(g) - 14*y(g).\nAnswer: 2*g**2 + 46*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217854 is divided by 15555?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*q - 2*q - 4*q + 5*q to the form h + x*q and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*y = -33*y + 10. Is 11 a factor of y*(0 - -3*(-5)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 10*c + 2. Let h be y(1). What is the units digit of -9*(8\/h + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4*n - 16. Let t be x(7). Calculate the common denominator of 86\/t - 0 - (7 - 10) and -13\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.73 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7301, -14068, -20845, -27638, -34453, -41296, -48173, -55090?\n\"Answer: -x**3 + x**2 - 6763*x - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 24 = 36. Let d(f) = f**2 + 12*f + 5. Let l be d(z). Suppose 3*j + 12 = l*k + 5*j, -2*k = -3*j - 20. Solve -11 = k*h - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55453 + -0.4\nAnswer: 55452.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 39 = 2*y - 5*y, -21 = -4*y - 5*c. What is the remainder when 149 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v - 5 - 3 - 4. Let z be n(-9). Let h(q) = -q**2 + 8*q + 1. Is h(z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 941 at least 938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-735)\/(-441) + (-2)\/(-6). Let s(g) = -g + 1. Let n(b) = b**2 + 2*b - 2. Give a*n(q) + 6*s(q).\nAnswer: 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 741036 by -114.\nAnswer: -123506\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 8:24 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -135800 by -97.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 79*x = 1247 - 334. Let d(m) = 9*m**2 - 3*m - 4. Calculate the least common multiple of d(3) and x.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -104*l. Let j be w(-1). Let f be (-11)\/((-462)\/(-12))*14 - -7. Suppose f*h = h + j. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -797*s = -84977 + 52300 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + (-72 - -132) - 33?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**2 + 2*u - 1. Let d be b(1). Let m be -3 + 2 + (3 - -206). Suppose 4*g - d*n = 2*n + m, 55 = g - 2*n. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10109 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5797*x**5 + 9*x**3 - 232*x**2 - 21412130*x?\nAnswer: -115940*x**3 + 54*x - 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -3a2a?\nAnswer: 3a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -3*k + 0*k**2 - 2 + 1\/3*k**3. Differentiate t(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*p - 55 + 20, -4*y - 5*p - 9 = 0. Let h be 18\/(-3)*1\/(-2). Let v be 1\/(-4) - h\/(-12). Solve -4*b = 3*m + 11 - v, 0 = -y*m + b - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/6 - 241*p\/6 + 1144.\nAnswer: (p - 208)*(p - 33)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 18080.\nAnswer: 162720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 146, 611, 1384, 2459, 3830, 5491, 7436, 9659?\n\"Answer: -j**3 + 160*j**2 - 8*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(117)*-1 + -1 + 6*(sqrt(117)*-2 + 4))*6)**2.\nAnswer: -218592*sqrt(13) + 2114784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*o = -3770, -7*w - 5*o = -6*w - 950. What are the prime factors of w?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*z + 9 + 25 = 0, -5*z = -5*i - 260. Let g = 114 - i. Suppose -2*r + 0*t = t - g, 2*r + 3*t = 157. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68.999893 + -69. What is i rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d\/d**(-1\/2))\/d)**(-33))**(7\/13)\/(d*d**(3\/8)*d*d*d**5*d*((d*d*d*d*d**(-1\/8)*d*d)\/d)\/d**1) assuming d is positive.\nAnswer: d**(-2075\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -4 + (-1 - (-4 + -4 - -12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -59*s. Let j(o) be the third derivative of -o**4\/8 + 59*o**2. Give t(j(a)).\nAnswer: 177*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 3*s - 102. Let q be v(35). Solve 3*p = q*l - 12, p + 5*l - 20 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**4\/24 - z**3 - 3*z**2. Let n be b(-9). Solve -n*l + 5*s = -27, 0*l + s + 7 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(4)*2) - sqrt(5)) + sqrt(55)\/(sqrt(11)*1).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 4*j**3 - 87*j**2 - 26*j + 90. Determine q(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 0 = 3*v + 31, 0 = 4*h - v + 18. Let o(z) = z**2 + 6*z + 2. Calculate o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.34, -0.05, 0.5, 0.1, -1\/2, -14?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b**3 + 35*b**2 + 23*b - 86. Give r(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 bigger than -13681458.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 = -11126*g + 11127*g + 5*u - 27, 2*u + 81 = -15*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 17*m - 3*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 110327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 212475070 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(17) + 1 + -1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -25 + 3.503\nAnswer: -21.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-6) + 22\/4. Find the third derivative of m*o**2 - 7*o**2 + 3*o**4 - 3*o**4 + 4*o**5 wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/14*99\/9. Let f = 68\/21 + g. Suppose -4 = 2*t + 2*s, 0 = t - 5*t + 5*s + 37. Are f and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2863240 and 10152.\nAnswer: 77307480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**3 + 2*x**3 + 0*x**3)*(-2 + 2 + 3*x)*(4*x + x - 6*x + (2 + 4 - 1 - 1 + 1 + 1 + (3 - 3 - 2)*(2 - 2 + 1))*(-1 + 1 + x)).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o. Let r(q) = 121*q. Let p(a) = -r(a) + w(a). Let z(x) = 346*x**2 + 352*x**2 - 700*x**2. What is p(z(b))?\nAnswer: 244*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4407366621?\nAnswer: 3, 7, 547, 383683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10894377 divided by -26507.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 + 6. Let y(r) = r**3 + 8*r**2 - r - 5. Let b be y(-8). Let g be 1*((-9 - -1) + b). What is the tens digit of x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-356)\/160 + -2 + 52\/32 - 91821\/(-38560)?\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*1\/((45\/(-7))\/9)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppppppppdppppppppp. What is prob of picking 2 p?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, c: 1, l: 3, j: 3}. What is prob of sequence jj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 17279961 to the nearest 1000.\nAnswer: 17280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yymm. Give prob of sequence mmy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7338836 + 5*j**2 - 7338900 + 14677736.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3885312 millennia to months.\nAnswer: 4662.3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 1 - p + p + 4*p**3. Let z be (-5)\/15 - (-6)\/45*-5. Calculate m(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 301 and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -240024424 (base 5) to base 7\nAnswer: -12212132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 6*q**2 - q - 8. Suppose 5*v = -2*b - 19, v - 3*b - 8 = -22. What is the units digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + q = -s + 29, 3*s + 149*q - 6 = 155*q for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-690)\/(-3 + 6\/(-12)*-4). Calculate the least common multiple of 16\/10 - (-4416)\/z and ((-14)\/(-3))\/((-1)\/(-6)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - (8 - (21 + -4))) + -36 - 19?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4365 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7193309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**3 + 6*l**3 - 2*l**3 + (4 + l**3 - 4)*(-3 + 3 - 2) + (-1 + 5 - 3)*(-22 + 22 + 21*l**3) - 53 - 3*l**3 + 52 - 2*l**3 + (-l + 3 - 3)*(6 - 6 + 9*l**2).\nAnswer: 8*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 11:13 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6312 + 14562. What are the prime factors of d?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 5:52 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -38c + 4?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7188467834 to 5 decimal places.\nAnswer: 0.71885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (21\/9)\/(2*4\/24). Let o(p) = -p - 4. Let c be o(0). Let u be (-114)\/(-2) + 3 + c. Calculate the highest common divisor of u and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2\/17, 341, 5 in ascending order.\nAnswer: 0, 2\/17, 5, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 + -40 + (6 - 53) + 42?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-14))\/(((-8)\/20)\/((-36)\/15)). What is the fourth biggest value in -1\/8, 2, u, 0.7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5700, 5766, 5850, 5952?\nAnswer: 6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4\/3, -2\/13, -2\/55, 2\/5, -8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1234 = -4*r - p - 1181, -p - 7 = -r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -5*v**2 + 4*v + 1. Let n(p) = 11*p**2 - 9*p - 1. Determine 2*n(i) + 5*z(i).\nAnswer: -3*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 165 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of n**7\/5040 + n**5\/12 - n**2. Let j(h) be the third derivative of q(h). Let y(u) = -5*u. Determine j(y(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 292573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-14)\/(-8))\/((-1)\/4). Let l = 0.05 - 1.05. Let w = l - -0.5. Put 4, f, w in increasing order.\nAnswer: f, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y + 1. Let v be k(-1). Let i = 1 - v. Suppose -t + 5*m = -499990, t - 500006 = -i*m - m. What is t rounded 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 hundreds digit of 744998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) 13937  (c) 1  (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**4 + 162024*z**3 + 324064*z**2 = 0. Calculate z.\nAnswer: -2, 0, 40508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4427127566 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*y**4 - 344*y**3 + 5106*y**2 - 30272*y + 61952 = 0. What is y?\nAnswer: 11\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 v when four letters picked without replacement from vyvxm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 + -23. Suppose 4*z + 1441 = 3*s, -p*z + 1963 = 4*s - 0*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79835.71 millilitres in litres?\nAnswer: 79.83571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -b - 2*b. Sort b, 2, -6 in ascending order.\nAnswer: -6, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k - 2. Let u(n) = 2*n - 15. Let f be u(10). Suppose -f*p + 11 - 1 = 0. What is m(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -1\/20*c**5 + 0 + 1\/280*c**7 - 3\/8*c**4 + 0*c**3 - 60*c**2 + 0*c + 3\/160*c**6. Suppose h(n) = 0. Calculate n.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1638 divided by -42.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 0*g - 5*n - 54, 4*g + n - 279 = 0. Suppose 2*m + 3*m - g = -2*i, -2*i - 35 = -3*m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 16*f**2 + f + 13. Let w be l(16). Let i(g) = g**2 + 4*g + 4. Let p be i(-4). Let b = w - p. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 16*x**2 + 15*x + 888. Let z(q) = -21*q**2 - 20*q - 1185. Calculate -17*k(y) - 13*z(y).\nAnswer: y**2 + 5*y + 309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76808442 and 708.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 137*w**2 + 5. Let y(a) = -273*a**2 - 9. What is -11*o(s) - 6*y(s)?\nAnswer: 131*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -225*d**3 - 21*d**2 + 37*d + 1949 wrt d?\nAnswer: -1350*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2808 divided by 2.\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 4\/65, 228?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 16*z. Suppose -5 = -n + 2*a, -27 = -2*n + a - 2. Let f(h) = n - 15 - 2*h. Calculate f(u(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**4)**(-10)*((w**(-1\/50)*w*w)\/w*w)\/w**(-2) assuming w is positive.\nAnswer: w**(-1801\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18.92 + 19. Let l = -0.15 + m. Let w = -1.1 - -1. Which is the second smallest value?  (a) w  (b) l  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -47\/1407 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 953176 and 4920.\nAnswer: 586203240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5\/289 + 26399\/5780. Calculate the common denominator of (486\/8)\/(-2 + -46) and v.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 7:33 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-35948)\/(-110) + (-2)\/(-10). Let r = 329 - v. Solve 0 = -3*s - y - 7, 16 = -2*y - r*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 + 27. Suppose -5*a + h = -2*a. Let s = -6 - -8. What is the smallest common multiple of s and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113*v + 57*v = -37*v + 953442. What is the highest common divisor of v and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0222705 to 4 dps.\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 116.59083 minutes in hours?\nAnswer: 1.9431805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/21, -568\/11, 0, 2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {o: 5, m: 7, f: 1}?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -3*o + 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 121 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.166 and 3.\nAnswer: 0.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 68*m**2 - 2*m + 2. Let u(c) = -273*c**2 + 9*c - 9. Suppose 4*i = 5*q - 46, -q = 102*i - 106*i - 38. Calculate i*g(b) - 2*u(b).\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-4))\/((-2)\/(-16)). Suppose p = -3*g - 2*g + 19, h*p + 24 = 5*g. Which is greater: 1\/5 or p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvvzm. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 2 + -7 + (-9 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 - 2*k**2 + (163 - 48*k**2 - 163)*(-1 - 2 + 6) + 0*k**2 + k**2 + k**2 as p + n*k + h*k**2 and give h.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5426*d = -4201*d - 35525 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/((t*t\/t**18)\/t*t))**(-16)*t**8*t\/(t\/(t**25*t))*t assuming t is positive.\nAnswer: t**(-253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4397431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114*o**6 + 2*o**5 + 308*o**2 wrt o.\nAnswer: 13680*o**3 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*((d\/(d*(d\/(d*d**(-6\/19)))\/d))\/d*d)\/d)*d*(d**20\/d)\/d*d**(-2\/19)\/(d*d**15))**(-3\/44) assuming d is positive.\nAnswer: d**(-183\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of 0 + 3*i**2 + 7*i - 1\/2*i**3. Let k be t(0). Solve -k*o + 25 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12\/77 + 3\/7. Find the common denominator of b and 62\/(-10)*(-1 - -3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, a: 2, e: 1, r: 4}. What is prob of picking 3 t and 1 e?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67 + -66. Let x be (7\/21*(0 + 0))\/q. Solve x*j + 2\/15 - 2\/15*j**2 = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19179072 by 96864.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*w**2 + 22*w + 198*w**2 - 21*w - w.\nAnswer: 328*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -607, -8 in decreasing order.\nAnswer: -2, -8, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 4*j - 3733 + 3771 = 0, z + 5*j = 90 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 7*g**2 + 2. Let j be z(-7). Suppose 4*m = 4*u - 452, u - 104 = -0*u + 4*m. Let x = -111 + u. Solve -3*q + j = c, c = -x*q + 2*c + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 30 = 5*b, b - 3 = -2*g + 2. Suppose -m + 2*a = 0, 0 = 4*m - g*m + 3*a - 1. Calculate the remainder when 1 is divided by m*(1\/(-2) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 216*o + 646. Let h be w(-3). Put 0, h, -107 in decreasing order.\nAnswer: 0, h, -107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112225 (base 8) to base 12\nAnswer: -1a019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -448 (base 12) to base 14\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -7, -10, -3, -1, 0.\nAnswer: -34, -10, -7, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -25  (b) -6  (c) -0.4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 3*l - l. Suppose -l = -n - n. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*y**5 + 9*y**4 + 289*y**3 - 303*y**2 - 9*y + 54 = 0 for y.\nAnswer: -3, -3\/8, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 498 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 4*y - 3 = 9, -2*q + y = -9. Suppose 15 = v + q*v. Suppose -v + 1 = -2*i + z, -5*z + 32 = 4*i. Which is smaller: 3\/2 or i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/22933442 and 25\/52419296.\nAnswer: 366935072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 14, 17, 32, 65, 122, 209?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271713?\nAnswer: 3, 13, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 38\/57 + (-16)\/6 + -48 + 65?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15682966 to the power of 1\/2, to the nearest integer?\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -446, -799, -1152, -1505, -1858?\n\"Answer: -353*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15828 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 10. Suppose -q + u = 3*s, 5*q + 4*s - 51 + 15 = 0. Solve -3*z - z = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i**3 + 135*i**2 + 373*i - 23321. What is u(68)?\nAnswer: -2581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 - -49. Let i be 2 - (-1 + 0 - 0). Suppose i*x - x + 2 = 0. Sort b, x, 0 in decreasing order.\nAnswer: b, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 7*q**2 - 6*q + 2. Let g be d(-6). Suppose 0*u + 6 = g*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2 + 9*p + 4. Let s(c) = -2*c**2 + 8*c + 4. Let j(o) = 4*r(o) - 5*s(o). Let i be j(6). What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**5\/4 + 1601*l**4\/4 - 216879*l**3\/4 - 1118101*l**2\/4 - 224905*l = 0. Calculate l.\nAnswer: -4, -1, 0, 155, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22*m**4*q**2 + 1009334*m**2*q**2 + 18076181*q**2 wrt m?\nAnswer: -88*m**3*q**2 + 2018668*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/22995 + -117964337\/298935. Let b be ((-40611)\/104)\/(-1) + -4. Let x = b + f. Calculate the common denominator of x and -62\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-15))\/((-6734)\/3885).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 110\/6 + (308\/(-33) - -9). Solve c*k = -20 - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p + 5. Suppose 8*x - 17*x = -189. Suppose x*g + 45 = 6*g. Let b be l(g). Solve 3*z + z = 12, 3*c - 6 = -b*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 4*b + 64, -5*b = 5 - 0. What is the smallest common multiple of 20 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14062*y = 18376*y + 150990 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4960401 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-327060)\/(-12561) + -27 + 1.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((324\/15)\/(-6))\/((-2)\/5). Let b(n) = -n**2 + 8*n + 1. Give b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 559 + 33 = 2*t. Suppose -5*y + 3*x - 2*x + t = 0, 4*y - 248 = -2*x. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -0.2  (c) 9  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/3 + 203332*k\/3 + 5167987778\/3.\nAnswer: 2*(k + 50833)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c**3 - 6*c - 6*c + 12*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1, -0.291, 3, 837?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**2\/19 - 1968*u\/19 - 335072\/19 = 0. What is u?\nAnswer: -148, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-34)\/(-51)*2\/4)\/(25\/1125).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2 + 18 = 0. Suppose -o + 4 = -2*v, 4 = 4*o - x*v - 0. Let f(g) = -g**2 - 2*g - 1. Let t be f(-1). Put -5, o, t in ascending order.\nAnswer: -5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38*2.7.\nAnswer: 102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17200515.\nAnswer: 3, 5, 17, 67453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 247\/64 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10491.\nAnswer: 3, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*o*p*r - 3*o*r + 25*o + p**3*r - p**2*r - p*r with respect to p.\nAnswer: -3*o*r + 3*p**2*r - 2*p*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3848 and 273104.\nAnswer: 10104848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 444133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -4*t + 0*t - 13 + 2*t - 3*t. Let x be y(-6). What is the greatest common factor of x and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((0 + sqrt(75))**2 + 5 - (((sqrt(75) - (sqrt(75) + 1))**2 - sqrt(75)) + 3)) - (4*(sqrt(75)*-2)**2 - (sqrt(75) + -2 + 3)**2).\nAnswer: -1200 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 738 is divided by (-3 - (-2)\/10)*(2 - (13 - -4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**4 - 32355846*y**3 + 87241763220483*y**2 - 174483429373440*y + 87241698508800.\nAnswer: 3*(y - 5392640)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8207213 centimeters in millimeters?\nAnswer: 8.207213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 1, -2\/5, -3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.02 - 3.02. Let h = v + 3.4. Let s = -3 + 3. What is the third biggest value in h, s, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 13*m - 149. Give g(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6*(-4)\/6 - -13. Suppose -6*u + i*u = -3. Let z(r) = -93*r**3 - r**2 - r. Is z(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -424.5 + 425. Let y = 148.3 - 148. Which is the nearest to y?  (a) 2\/3  (b) 0.3  (c) 1  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91, 93, 101, 115, 135?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -w**6\/360 - w**5\/120 + w**4\/12 + w**3\/3 - w**2. Let g(m) be the first derivative of k(m). Find y such that g(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (-45 + 23 - -30) - ((-2 - 18) + 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and 10.7?\nAnswer: 8.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 192306655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (49\/4)\/((-140)\/(-160)). Let j(h) = -h**3 + 13*h**2 + 5*h + 21. Give j(g).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 82, 165, 306, 535, 882, 1377?\n\"Answer: 5*c**3 - c**2 + 51*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (42\/4)\/(-7)*16\/12. Let m be i - -5 - ((-58)\/(-1))\/(-2). Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 2989 = 1033. Let f = -977\/3 - w. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 414578 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52*o**2 + 96*o - 16.\nAnswer: 4*(o + 2)*(13*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.083 * 0.02038283\nAnswer: -0.00169177489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 101.213 - 96.213. Suppose 0 = -2*t + 4*b - 8, 3*t = 3*b + b - 12. Let z = t + 0. Put i, -32, 2, z in increasing order.\nAnswer: -32, z, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - j + 3. Let u be k(3). Suppose -2*h + 1 = 5*s, 0 = 5*h - 0*s - s - 70. Let r = h + u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*a - 494 = 0, j - 5*a = -12 + 154. Suppose -30 = 12*u - j. Solve 4*s - u = 5*o + 22, s - 2*o - 12 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1248 and 1664.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*v + 344 = -24*v + 1483 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {r: 1, v: 6, x: 3, n: 2, o: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c + 4. Let f(r) = 138*r + 91. Let k(q) = -f(q) - 3*n(q). Differentiate k(d) wrt d.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -112908 + 111415.022. Let o = 1500.97809 + r. Let u = o + -8. Round u to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j - 22*j - 31*j + 81 + 53*j.\nAnswer: j + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 358678*f - 725683?\nAnswer: 358678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 246729394 to the power of 1\/2, to the nearest integer?\nAnswer: 15708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s + 2. Let m be u(4). Let q = 67 + -58. Let j = q + m. Sort -2, -3, j in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -q**4\/12 + 4*q**3 - 33*q**2\/2 - 21*q. List the prime factors of r(17).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*g + 276 = -26*g. Let r = -39 + g. Does 21 divide r\/(8\/84*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9825 = -7*p + 5358. Suppose -3*c - 12 = c, p = 5*r + 2*c. Suppose -3*l = -0*l + 5*x - 1273, l - x - r = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -3 + -3 - (51 - 66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 91619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, -117, -4, -4\/5 in decreasing order.\nAnswer: -4\/5, -5\/3, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z**2 + 30687802*z + 235435297897801 = 0. Calculate z.\nAnswer: -15343901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, 32, 18, -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from xsxsx.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1573) + -1 + sqrt(1573) + -5 + sqrt(1573))**2*2 - (sqrt(1053) + -1*sqrt(1053) + 4 - ((sqrt(143)*-2 + sqrt(143))*2 - sqrt(143))\/sqrt(11)).\nAnswer: -795*sqrt(13) + 28382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**2 - 1309*j - 115752. Determine n(-313).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46152450 divided by -45?\nAnswer: -1025610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**3 - c**2 - 153373353 + 76686674 + 76686679.\nAnswer: 6*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 2*l + 51, -5*l + 3 = 8. Suppose h*f - 4996 = 45*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -424*i**2 + 3969 + 1328*i**2 - 425*i**2 - 475*i**2 as j*i**2 + m + c*i and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -235397, -235362, -235265, -235076, -234765, -234302?\nAnswer: -233657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.57 + -1.47. Let d be (1\/(-3))\/(1\/(-2)). Let g = 0.178 - -1.822. Which is the closest to n?  (a) -5  (b) d  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19\/57 + 52\/6 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 48 = -38. Suppose -40 = -5*m + 5*d, -5*m + 22 = 3*d + 6. Suppose 4*v = m*p - 19, v = -5*p - v + o. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 0, -9*z = 5*d - 7*z - 274865. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10 + 8)*(0 + 2). Let v be b\/((-32)\/12)*2. Solve 9 = -4*q + 4*i + i, -v*q = 4*i - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33693835021.6899995 - 33694769388.69. Let s = 934376 + a. Let z = 9 - s. Round z to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/9)\/(r*r*r*r**3\/r))**35*r**(3\/4)\/r**(-8)*(r*(r\/(r\/((r*r\/r**5)\/r)))\/r)\/r**6 assuming r is positive.\nAnswer: r**(-6485\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/(-2))\/((-1)\/(-6)). Suppose 0 = 5*b + 4*y - 38, -2*b - y - 10 = -4*b. Suppose z*g = b*g - 9. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2. Let t(g) = 3*g**2 - 4*g**2 + 6*g**2. Calculate v(t(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**5\/20 + 5*w**4\/4 + 388*w**2 + w - 8. What is the derivative of m(v) wrt v?\nAnswer: -3*v**2 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.31021 centuries in millennia?\nAnswer: 7.431021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.063 - 0.437. Let q be 2\/3 + (-10)\/42. Suppose 2*h = -4*l - 8, -2*l + 4*l + 5*h = -12. Which is the nearest to l?  (a) -1\/5  (b) q  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y**4\/4 - 667*y**3 + 9303*y**2 - 37172*y + 42464 = 0. Calculate y.\nAnswer: 2, 4, 8, 2654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10747426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 809103051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 4\/9, -0.021, -2\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2197*s**2 - 267*s + 814. What is the ten thousands digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 66 = -2*k, 137 = 4*k + n - 9. Let q(a) = 20*a - 17. What are the prime factors of q(k)?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1020, 101, 10 in increasing order.\nAnswer: -1020, 10, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, v: 4, o: 8, u: 1}. Give prob of sequence tto.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/6*(16 + (-170488)\/10100 + 2\/5)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**7\/105 + o**6\/30 - o**5\/30 + o**2 + 3. Let s(w) be the second derivative of x(w). Factor s(t).\nAnswer: -2*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -339011*s**2 - 313770*s**2 + 626401*s**2 as y*s + d*s**2 + j and give d.\nAnswer: -26380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -7*c**2. Let r(z) = -433 + 433 + 3*z**2. Give b(r(s)).\nAnswer: -63*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -15\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 + 17. Let o(s) be the second derivative of 1\/48*s**4 + 0*s**2 + 0*s**3 + 0 + i*s. Solve o(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13730.35 to the nearest 100.\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/90*2)\/(2\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 - -35. Let o = w + -12. Let p = 247\/141 + -4\/47. Which is the biggest value?  (a) 1\/3  (b) p  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(70)*-6)\/(-2*sqrt(50)\/sqrt(5)) - (sqrt(672)*6 - sqrt(42))\/(-2*sqrt(294))*2.\nAnswer: -40*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148*i = 136*i + 60. Solve 6*f = f - 5*d - 10, -11 = i*f + 4*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012015 plus 0.4?\nAnswer: 0.387985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -74431 and -0.2.\nAnswer: -74431.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 - 12. What is the units digit of (-28)\/(-5) + 4\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at least as big as 4975906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-369)\/164)\/((-171)\/4256)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -255011?\nAnswer: -255005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1015, 1209, 1405, 1603, 1803, 2005, 2209?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of -m**6\/120 - 7*m**5\/60 + m**4\/3 + 3*m**3\/2 - 4*m**2. Calculate the lowest common multiple of 3 and q(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 5*p - 1. Suppose 14 - 104 = -10*l. Determine o(l).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 461, 697, 933, 1169, 1405?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 34*6*3\/12. Let g = 692 + -658. What is the highest common factor of g and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1235.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 12*q + 137. Let x be t(-6). Which is greater: x or 98?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 3, -2*r + 2*x - 9 + 29 = 0. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3619.234ml?\nAnswer: 3.619234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 7*l**2 + 4*l - 3. Suppose 3*d = -22 + 4. Calculate f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8119594.\nAnswer: 2, 7, 29, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - -335)\/((231\/12)\/7). Let l = 122 - r. Let k be (-1)\/4 - 2\/56. Which is the nearest to -2?  (a) k  (b) 1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*f = -5*f - 36. Suppose 6*w + 2 = 2*w - 2*z, f*w - 3 = 3*z. Factor w*a**2 - 2\/3*a**3 + 0 + 1\/3*a**4 + 0*a.\nAnswer: a**3*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a - 39*a - 4*a - 146*a - 2.\nAnswer: -194*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26276504 + 4?\nAnswer: -26276500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (96\/9)\/(35\/21*3\/(-15)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2656052 by 1328026.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q - 80 = -0*q. Suppose 20*u - 75 - q = 0. Solve 4*c = 4*w - 32, 3*w = c - u*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 102133 + 21?\nAnswer: 102204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 22636\/36 - -1 - 12\/(-54). Suppose -109*n + 115*n = p. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 2:54 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5+-106.1093074867\nAnswer: -101.1093074867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/228 and -49\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express n**4 + 3*n**4 - 2*n**4 + ((-n + n - 2*n)*(-9 + 9 - n) - 121 + 12*n**2 + 121)*(0 - 1 + 4*n**2 + 0) as b*n**3 + s*n**4 + k + q*n**2 + y*n and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 7*q**2 - 3. Let w be g(7). Sort 4, w, -14.\nAnswer: -14, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186 + 186 - 8*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -8. Let a(h) be the second derivative of 0*h**5 + 1\/9*h**4 + 0*h**2 - 2\/45*h**x - 1\/9*h**3 + 0 + 1\/63*h**7 - 2*h. Determine c so that a(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, g: 7, z: 5, l: 1, d: 3}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 - 5*d - 11. Let j be h(-6). Calculate the highest common divisor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 p when four letters picked without replacement from xxxxxxypxpnxpyxnyp?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - (2 - 2)) + -4. Let v = w + 6. Suppose v = -5*z - 4*t + 46, 4*t + t + 15 = z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b\/b**6)\/b*b))\/b)\/b**1*b**4*b**(-1\/5)*((b*b**(-1\/2)*b)\/b*b**(-2\/21))\/(b**1)**(-9) assuming b is positive.\nAnswer: b**(3613\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*m - h - 31, -3*m - 4*h - 548 + 579 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2719 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -160 divided by 1613914\nAnswer: -80\/806957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 11*j - 9. Suppose -m + 2*i = -10, -4*m + 3*i + 37 = 2. Let t be o(m). Suppose 3*h - 41 = -4*x, -5*h - 4*x = -8*x - t. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.7 in -93, 5, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of q**4\/3 + 4*q. Let p(k) be the first derivative of -2*k**3\/3 + 3. What is h(p(s))?\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 5*l**2 + 4*l. Let o be w(3). Let r = 26 - 11. What is the remainder when (-2)\/2 - (1 - o) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.830305443 to three dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.083, 4\/3, 154, -1 in decreasing order.\nAnswer: 154, 4\/3, 0.083, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**3 + u**2 - 6. Let l(q) = -2*q**3 - 7*q**2 - 6*q - 12. What is l(a) - 2*w(a)?\nAnswer: 2*a**3 - 9*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -98.99999943 - -99. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 468 and 6230484?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -623 - -1125.6. What is x rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, x: 2, j: 3, e: 2, y: 1, o: 2}. Give prob of picking 1 j and 1 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*g - 159 = -5*u, -u = -2*g - 36. Let k be u\/12*(-24)\/(-100). Which is the biggest value?  (a) k  (b) -6  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -165 divided by 1.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4170 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -5. Suppose -3*c + 10*c - 35 = 0. Does c = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/(-14))\/(6\/(-8)). Let s = -1 - -3. Which is the smallest value?  (a) 3  (b) w  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2120107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12.35405189 and -660678.\nAnswer: -660690.35405189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/2)\/((v\/(v\/v**(-4))*v*v)\/v))\/(v**(-1)*v*v*v**(-1\/2)) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**6 - 105*c**4 - c**2 - 16*c wrt c.\nAnswer: -240*c**3 - 2520*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -7*f. Let a(m) be the first derivative of -2*m**3\/3 + 8. What is a(w(p))?\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 16 + -3 + -2 + -11 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwjsewwyje. Give prob of sequence ww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*r + 48*r - 2*j + 44 = 0, 30 = 9*j - 6 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -1. Let s(i) be the first derivative of 5*i**3\/3 + 5*i + 22. Calculate -6*g(h) - s(h).\nAnswer: -5*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 819\/9 - (0 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*i - 12*i - 49 + 43 + 0*i + 0*i - 3*i + (-i + 2*i - 2*i)*(2 + 1 - 1) + 4*i - 3*i + 0*i - 6*i + 6*i + 4*i as f*i + u and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14096572 and -20.\nAnswer: 14096552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {z: 2, x: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -54\/17 and -27\/1496?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -58\/5  (b) -3\/10  (c) -0.54  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4 - 3385*i**3 + 23597*i**2 + 165865*i - 1158654.\nAnswer: (i - 3378)*(i - 7)**2*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 6*p + 3 = -4*p, 10 = 2*t + 2*p. Let m be (t - 2988\/2991)*-2981 + 3. Let k = 44078\/20937 - m. Find the common denominator of 121\/12 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/2 + -52 + 58?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-5 + 9)) + -6 + 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -6. Suppose -j + g*j + 16 = 0, -4*q + 3*j + 44 = 0. Let w = 15 - q. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 14*b**2 - 764*b - 1533. Give q(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 12*l - 99 + 77 + 17. Let x(t) = -1. Give a(r) - 4*x(r).\nAnswer: 12*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of w**4\/48 - w**3\/6 + 3*w**2\/8 + 4*w. Factor o(p).\nAnswer: (p - 3)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27)\/30*1236\/(-8343).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3122411 (base 5) in base 2?\nAnswer: -1100100110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 2:35 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cbbccbcxbc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and -90.2?\nAnswer: -54.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**3 - 2*r**3 - 7*r**2 - 77 + 6*r**3 + 9*r**3 + 5*r.\nAnswer: 15*r**3 - 7*r**2 + 5*r - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1111010100000001 (base 2) to base 13\nAnswer: -22719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4168424 by -13.\nAnswer: -320648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*s - 4*s + 17*s + (4 - 1 - 2)*(-2*s - 3*s + 2*s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 18*1\/(-2) - (5109\/655)\/((-1)\/(-10))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1262, 2266, 3048, 3608?\n\"Answer: -111*p**2 + 1337*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*r - 8633 + 4393 = -3820 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4\/45 - -2\/15. Which is the nearest to -0.1?  (a) 2\/103  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(1\/27))\/((w\/w**17)\/w))**(4\/3) assuming w is positive.\nAnswer: w**(1940\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 5. Suppose -4*c - 2 = -5*g, -10 + 2 = -2*g - b*c. Suppose y + 4*y - 12500004 = 2*k, k = g*y - 5000002. What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**5\/17 - 4208*z**4\/17 - 4206*z**3\/17.\nAnswer: -2*z**3*(z + 1)*(z + 2103)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5538 times -5\nAnswer: 27690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00091544 rounded to 5 dps?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/6 - 6241*f - 149752\/3.\nAnswer: -(f + 8)*(f + 37438)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 261679, 261681, 261693, 261721, 261771, 261849, 261961?\n\"Answer: h**3 - h**2 - 2*h + 261681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-108)\/(-22) - 80*68\/1088?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2)*930\/180*-4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 8:35 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.800534 minutes to weeks.\nAnswer: 0.0070238625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11.415502556 + 0.0279\nAnswer: -11.387602556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by -73.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -5851?\nAnswer: -5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 22  (b) 3042  (c) -188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1571123821 to the nearest integer?\nAnswer: 39637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*w - 48, i - 14 - 6 = 3*w. Let h = i - 21. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (25\/(-20)*2)\/(2\/(-4)). Solve -3*v + 3*h - h = 5, 0 = -q*v - 3*h - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -208*l + 2279. What is the least common multiple of 826 and c(5)?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 greater than -7788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 4, -5*b = -7*b + 2*t + 10. Solve 4*f = -d + b*d, -2*f + 26 = 5*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21106 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 11*n**2 + 2*n + 2. Let m be (4800\/(-1680))\/((-1)\/(14\/(-4))). Let p(q) = 23*q**2 + 5*q + 5. Determine m*b(r) + 4*p(r).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 5*i + 16. Suppose 0*x = 2*x - 2. Suppose 0 = -4*u + 3*d + 36, 15*d - 14*d - 8 = -2*u. Sort x, i, u in decreasing order.\nAnswer: u, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*t**2 + 6*t + 1507 + 10*t - 1507 to the form x*t**2 + y*t + m and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1714950?\nAnswer: 2, 3, 5, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -5. Let p(i) = 3*i + 12. Let h be p(-1). Let f(d) = d**2 + d - h*d - 18 + m. Calculate f(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/77 - (-33257)\/77. Calculate the highest common factor of 48 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.917 + 2.017. Let f be 4\/3*(-2)\/8. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 19. Suppose -5*r - 19 = 2*i - 6*r, 0 = i - 3*r + m. Let q(u) = 3*u + 42. What is the units digit of q(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(-2)\/((-4)\/50). Let f = 28 + x. Suppose 0 = -0*h + f*h + 4*b - 22, -h + 2*b - 6 = 0. Solve 0 = -3*l - 2*w + 5, -3*l + h*w = -l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of -h**3\/33 - 15*h**2\/22 + 16*h\/11 - 582. Solve d(z) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, d: 8, v: 1}. Give prob of sequence ddvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n - 22. Determine z(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/(i*i\/i**3))\/i)\/i)\/(i\/i**(4\/9)))**(-23\/5)*((i\/i**(-3))**(-40))**(-1\/60) assuming i is positive.\nAnswer: i**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2503391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -20\/8717 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 897 + -897.1. Let v = 1.06 + -0.06. What is the closest to v in 0.4, 4, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2099.1 - 2029. Let n = -63.5 - 6.5. Let o = n + w. Which is the third smallest value?  (a) -0.5  (b) -0.09  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/2, -2.6856, 1?\nAnswer: -2.6856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**4 + 5756*t**3 + 2759040*t**2 + 439603200*t - 442368000.\nAnswer: 4*(t - 1)*(t + 480)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 0*n - 2 = 2*n, -706 = -5*n - 681 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/sqrt(196) + -3 + sqrt(17) + 2.\nAnswer: -1 + 8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -493 in -5, 0.2, 234, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 161, 1, 12, -12 in decreasing order.\nAnswer: 161, 12, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - 4 - -32) + 3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 47 = t, 337 - 208 = -2*t - m. What is the closest to t in 4, 5, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -649?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 8*h + 24 = w, w - 3*h - 10 = 0. Let b(n) = -13*n**2. Let u(r) = -923*r**2. Calculate w*u(s) - 286*b(s).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**3 + 29*r**3 - 4*r**3.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z**3 - 5*z**2 + 79*z + 100. Calculate x(-8).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p**(-3\/17)*p)*p**(-5\/6) assuming p is positive.\nAnswer: p**(-67\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 541, 539, 529, 511?\n\"Answer: -4*s**2 + 10*s + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.1 + 7.9. Let f = -6 + h. Let q = 0.02 + 0.38. Which is the closest to -2\/7?  (a) f  (b) 1\/7  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -9*y**2 + 11*y. Let w(c) = c**2. Let s(t) = u(t) + 3*w(t). What is the second derivative of s(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -3. Factor -z**4 + 10*z**3 + 3*z**4 + 8*z**2 + 4*z + 2*z**4 - c*z.\nAnswer: 2*z*(z + 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 3*n**2 + 2*n - 5. Let x be z(3). Let g(s) = -s + 2. Calculate g(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13039715 and 2656?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001507251 rounded to 7 decimal places?\nAnswer: -0.0001507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of r**4\/12 - 16*r**2. Let a(d) = -8*d. Let s(v) = -v. Let y(q) = -a(q) + 6*s(q). Give n(y(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 54.000252 - 54. What is n rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 275275?\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16439 greater than 16438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 + -2)*184\/12. Suppose c = y + y - 5*t, -5*t = -y + 33. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-1*(2*sqrt(76) + sqrt(76)))\/(sqrt(16)\/sqrt(4)*2)*-5.\nAnswer: -2 + 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -116.9 rounded to 0 decimal places?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/3)\/l)**(6\/29)\/((l*l**(-1))\/(l\/(l\/l**0))))\/(l*l\/l**(-1\/11)*l*(l*l*l*l**(2\/25)\/l*l*l)\/l*l**(2\/13)*l**0*l) assuming l is positive.\nAnswer: l**(-795144\/103675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2414 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1446144295?\nAnswer: 5, 289228859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -3. Let g be l\/6 - 14\/(-4). Solve 2*m = -2 - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jfcagjdgdgddggjgjjgd. Give prob of sequence da.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -68 or -1855\/27?\nAnswer: -1855\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 7*i - 2*i + 130 = 0, -2*k - 3*i + 47 = 0. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 406\/10 - 8\/(-20). Let u be 1\/(11 - 15 - (-94)\/24). Let a = m + u. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 65 + -36. Suppose -s - h - 331 = 0. Round s to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 9:56 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/21)*y)\/y**(5\/6) assuming y is positive.\nAnswer: y**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tauu when four letters picked without replacement from {t: 5, a: 2, p: 3, e: 1, u: 6, c: 3}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 less than 2936539.855?\nAnswer: 2936532.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -26*o**2\/7 - 118626*o\/7 + 54756\/7 = 0.\nAnswer: -4563, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 210178?\nAnswer: 2, 19, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*s**3 + 4259*s**2\/6 - 2074*s\/3 - 74\/3 = 0 for s.\nAnswer: -37\/1074, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) -2\/25  (c) 0  (d) 5  (e) -8  (f) 82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (32\/(-72))\/(((-28)\/63)\/4) and 19\/2 + 1\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -63a66a - 1?\nAnswer: -63a66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, s: 6, c: 10}. Give prob of sequence snsc.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**3 + 2*z - 2*z)*(1 + 2*z**2 - 1) - z**5 - z**5 + z**5 + 26*z**3 + 4*z**3 - 13*z**3 - 2*z**5.\nAnswer: z**5 + 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 6849*m**2 - m. Let i be w(1). Let y = i + -13148. What is y rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, i: 4, c: 2}. What is prob of sequence ct?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.586 - 3.414. Sort 5, 49, 0.1, b in decreasing order.\nAnswer: 49, 5, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/5 and -63\/13345.\nAnswer: 13345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 33*x - 37*x - 3*h, 5*h + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 7*g**2 + 4 - 2*g**2 - 3. Let m be (6\/4)\/(1\/(3 + -1)). Let x(f) be the first derivative of 11*f**3\/3 + f**2 + 2*f + 6. What is m*x(u) - 7*s(u)?\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105 + -14 + 32 - (1 + 21 - 6).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + r + 116 = 3*q, -4*q + 2*r + 158 = 0. Calculate the remainder when ((-24)\/(-5))\/(4\/q) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12630983 to the power of 1\/2, to the nearest integer?\nAnswer: 3554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1464, -2, -10, 2 in decreasing order.\nAnswer: 2, -2, -10, -1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + sqrt(539)*-2 + 5 + 4) + 4)**2.\nAnswer: -7140*sqrt(11) + 56501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2861, 5717, 8571, 11423, 14273, 17121?\nAnswer: 19967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 9) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.583 + 8.583. What is the second biggest value in 1, n, 17\/6, 4\/3?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*t**2 - 10*t**2 - 4*t**2 - 4*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 k when three letters picked without replacement from {l: 2, n: 3, w: 4, q: 2, k: 1, r: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 + 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003113 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 154.8, -0.06, 105, -2?\nAnswer: 154.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.49 + 0.19. Let q = i - -2.3. Let j = 15 + -18. Which is the biggest value?  (a) j  (b) q  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 11:29 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/60 - 10\/300. Which is the nearest to 2.4?  (a) 0.5  (b) 2  (c) k  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21420 and 47829670.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 11:36 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 8*c**2 - c**2 + 4*c**3 - 3*c**3 + 5*c - 5. Let i be h(-6). Suppose -5*z = -2*z - 27. What is the highest common divisor of i and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20517 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.07 + 0.03. Let u = w - -0.54. Sort u, 3, -1 in descending order.\nAnswer: 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0*v = v + 302, 3*v = 4*a - 406. Suppose -z = 4*d + z - 20, -5*d - 2*z = -23. Suppose 0 = -d*k - k + a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/18 - 111\/18. Let t be ((-18)\/j)\/(3 + -2). Solve 0 = 2*y + 5 + t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -36  (c) 0.006  (d) -33  (e) -5  (f) -3  (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 343, 689, 1035, 1381?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**4\/5 + 2502*w**3 + 2608335*w**2.\nAnswer: 3*w**2*(w + 2085)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -101*r**2. Let y(w) = 45*w**2. Let p(v) = -4*d(v) - 9*y(v). Let o(n) = -209*n**2. Calculate o(p(c)).\nAnswer: -209*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 853*138\nAnswer: 117714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17251*a**2 + a*y**2 - 8201*y**2 - 3*y wrt a.\nAnswer: -34502*a + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/5 - (-96)\/(-140). Let s = -4.3 - -4. Which is the nearest to g?  (a) -1\/9  (b) s  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/45*69\/3. Let x = u - -6\/5. Suppose -5*y - 3 - 7 = 0. Which is the second biggest value?  (a) y  (b) x  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1260, -1261, -1262?\n\"Answer: -a - 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 divided by 4251?\nAnswer: -49\/4251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 5, 12, 4, 22777 in descending order.\nAnswer: 22777, 12, 5, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 5*d**2 - 5*d + 4. What is the lowest common multiple of v(6) and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/9*(84\/(-10) + 8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 1:14 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/3453365 and -37\/30.\nAnswer: 20720190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7 + -2 - (-364)\/(-70). Let l = 0.127 + -0.127. Which is the nearest to 1?  (a) l  (b) f  (c) 0.1  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4805958*t + 4805966*t - 9611922*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -14*y + y + 8*y. Let c(h) = -6*h**2 + 2*h**2 + 3*h**2. Determine o(c(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 34892 - 34898, 70 = -4*j - 3*p for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7791 + (-3 - 5\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4 = 0, 1385*w - 1382*w - 215 = 5*g. Calculate the remainder when w is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*s**2 - 81170302 + 81170302 - 150*s**2.\nAnswer: -219*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 6*z**2 - z + 6. Let a be o(6). Let v(l) = 16 - 19 + 0*l + l + a*l. Give v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -10 + 2 - (-1 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - -31. Suppose 3*d + 2*g = 11, -2*d - 3*d - 3*g = -17. Let k = u - d. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 103 + -100.12. Let v = p + 0.12. Let q be ((-3)\/(-30))\/((-2)\/4). What is the biggest value in v, -3, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 2*l - 2. Let f be s(0). Let c(m) = 6*m**3 - 2*m**2 - 2*m + 2. Let w(b) = 18*b**3 - 193 + 7*b**3 + 202 - 9*b - 9*b**2. Give f*w(x) + 9*c(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*a**2 + 2*a + 8*a**2 - a**2 - 9*a**3 + (125*a - 31*a**3 - 125*a)*(-3 + 4 + 1).\nAnswer: -71*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0297888 rounded to 4 dps?\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - (-59 + 31)) + -37?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -98\/78375 or -1?\nAnswer: -98\/78375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - 8*y**2 - 7*y - 5. Let j be h(-7). Put j, 0, 1 in ascending order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6213 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*d - 22*d + 172*d.\nAnswer: 207*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 9*h**2 - 7*h - 16. Let l be f(-8). Let q(i) = 8*i - 5. Let c be q(3). Suppose -l = 15*x - c*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -752*d + 1009*d + 2056 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3357178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 581 - 1168 + 2*b**3 - b**3 + 592.\nAnswer: b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**6 + 44671*b**4 + 13165*b**2?\nAnswer: -240*b**3 + 1072104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 17*v**3 - 8*v. Let k(h) = 52*h**3 - 25*h. Let g = -36 + 43. Let s(m) = g*a(m) - 2*k(m). Find the second derivative of s(x) wrt x.\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 23428119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 35\/3 + 17\/51. Let c be 2\/(-6)*60\/(-2). Is l > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2506669 is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 38 = 2. Let d be (f - 3\/3)*-1. Let s(h) = 3*h - 24. Let l be s(d). Let b(v) = -v**3 - 3*v**2 - 4. Calculate b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -878, -28749, -110560, -273281, -543882, -949333?\n\"Answer: -4495*w**3 + 3594*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 654360.\nAnswer: 2, 3, 5, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/13*j + 10\/13*j**2 - 10\/13 + 2\/13*j**3.\nAnswer: 2*(j - 1)*(j + 1)*(j + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*l - 7341 - l**3 + 7332 - 106*l.\nAnswer: -l**3 - 58*l - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-21)\/(-12) - 1\/(-4). Suppose 2*u - 43 = -o*d + 25, 4*u - 2*d = 130. Let p = 2114 + -2048. Calculate the highest common divisor of u and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -132 + 119. Let t(q) = -q - 12. Determine t(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n**2 - n + 10. Let t be p(-7). Let x = -803\/7 + t. Let l = -0.2 + 0.1. What is the third smallest value in l, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 13*s - 28. Let j(g) = -g**2 + 17*g - 40. Calculate the remainder when j(s) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/9)\/((-1622)\/(-811)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/282 and -61\/2?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -3, 4, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110010110 (base 2) in base 14?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/((-112)\/(-60)))\/((-54)\/(-63))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 14*k - 9*k, -3*g + 39769974 = -3*k. Suppose 15*m = -18243339 - g. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 4*y - 4 - y - 2 + 2 + 2*y - 4*y + y + (5*y - 27 + 27)*(3 - 2 + 1) - 2*y - 2*y + 0*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 298, 69, -1, -53, 0, 4 in descending order.\nAnswer: 298, 69, 4, 0, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 395639539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 250\/(-2)*(-3)\/3. Suppose 0 = -3*h - 0*z + z + g, 203 = 5*h + z. Let b(v) = 21*v**3 - v + 1. Calculate the remainder when h is divided by b(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -28608*m + 3347190. Calculate z(117).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10*(42\/2)\/(24\/1152*-8*18)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4*6\/12*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-1))\/(162\/108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.2799 and 0.05.\nAnswer: 0.163995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4300, 4276, 4268, 4282, 4324, 4400, 4516?\n\"Answer: u**3 + 2*u**2 - 37*u + 4334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-11)*((-42)\/462)\/(3\/(-33)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-45)*94\/(-24) - 3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -786*d**3 - 404*d**2*p - 754*d*p + 1343*p - 5 wrt d?\nAnswer: -4716*d - 808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 594595.8 meters?\nAnswer: 594595800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12 - 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/(-39))\/(9\/243)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8579775 times 167\nAnswer: -1432822425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.1 - -0.9. What is the second biggest value in p, 1\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18075330 greater than or equal to -18075329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 624 in -2\/13913, -0.36, -3\/8?\nAnswer: -2\/13913","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 178328 from 21921.\nAnswer: -156407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 8*l - 14. Suppose 29*v - 13*v + 160 = 0. Calculate h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/((-9282)\/153))\/((-21)\/4067).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -679 + 731. Suppose -279 = -c*j + 21*j. Suppose 2*m - m + 66 = 3*b, -3*m - 9 = 0. Calculate the remainder when b is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 27 + 4f?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o + 4, 57 = w - 30*o + 43*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*z - 693 - 7 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 9:39 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-3))**(-31))**(-16) assuming t is positive.\nAnswer: t**(-992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -10. Let h = 3 - w. Calculate the smallest common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -n**8\/28 - n**4\/12 - n - 6. Let j(r) be the first derivative of x(r). What is the third derivative of j(o) wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 3*b - 17 - 2 = 0, 3*q = b + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -542*x - 5408 + 23836 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*v - 135024, 3*v + 2*o - 45001 = 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 86*h + 2. Calculate d(-1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-9 + (-1 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-50)\/30)\/((-2)\/6). Solve x = -d + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(1\/6*-22).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*r, -2*u = -0*r - 5*r + 335. Let d = 160 + u. Solve 5*l + 2 = -g - d, -4*l + g - 11 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of 7*f**3\/2 - 157*f**2\/2 + 103*f. Find the first derivative of k(i) wrt i.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + ((-69)\/(-15) - 1). Let c = -0.04 - -0.12. Let f = 4.92 + c. What is the third smallest value in f, -3, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5227 + -4 + 1*-3. Let k be f\/75 + (-6)\/10. Is 7 a factor of k\/2 + 4\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.6 in 1, -2\/13, -1\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 6*i + 3*i**2 + 5*i**2 + 2*i + 14. Let n be t(15). Suppose -815 + n = 5*c - r, 900 = 4*c + 4*r. What is the greatest common divisor of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 63 + 0\/(-2) + -3. Let l(z) = -z + 5*z + 4*z. Let n be l(3). What is the highest common divisor of i and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 12 - 3*m + 10*m**4)*(3 + 4*m - 3).\nAnswer: 40*m**5 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 4*r + 2948 = i, 2*r = 3*i + 1203. Calculate the remainder when r is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 j when three letters picked without replacement from xxxrj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(-4 + 3 + 0)*(6*w**5 + 16*w - 16*w) + (-2*w**2 + 4*w**2 - 4*w**2)*(0*w**3 + w**3 + w**3) + w**5 - 3 + 3.\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 92 = 26. What is the smallest common multiple of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3193512, 6387020, 9580528?\n\"Answer: 3193508*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 1) + 1\/(-1). Suppose 0*x = -2*x - 3*h + 1, o = 2*x + 4*h. Suppose c + c = 10. Solve x*b - 6 = -2*i, 2*i + 2*i + c*b - 17 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 7*a + 46. Determine o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.582 minus 4?\nAnswer: -13.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46544747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -396 divided by -12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-256)\/192*3\/2. Suppose 0 = -d - d. Put d, x, -1.4 in ascending order.\nAnswer: x, -1.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.3126  (b) 0  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1134 + 2752*v**3 - 4*v + 1132 + 20228*v**3 + 4*v.\nAnswer: 22980*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 74\/3 - (-4)\/(-6). Suppose 0 = -2*d + 3*r + 46, -2*d - r = -2*r - 38. Let t = v - d. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2263375\/2409 - -1990\/219. Let l = 2746 + -1798. Let w = f - l. Find the common denominator of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1258254, -2516733, -3775212, -5033691?\n\"Answer: -1258479*n + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72454 (base 8) to base 6.\nAnswer: 350512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 124068622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**38\/u**(2\/5))\/(u**(9\/5)*u**(-14)*u) assuming u is positive.\nAnswer: u**(244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + 6 - ((-3 - -1) + 4). Let h(a) = a**2 - 6*a - 8. Let n be h(x). Sort -3, n, 3, -5 in increasing order.\nAnswer: -5, -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 84 = -7*h. Suppose -4*j = 2*m - h, 3*m + 5*j - 10 = 52. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 83329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 5*j - 374780 = -3*j. What is j rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -1. Suppose -93 = -u*j - 33. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (2 - -1) - -1 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -114, -442, -996, -1782, -2806, -4074, -5592, -7366?\nAnswer: -9402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = -31*n - 261 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.217 less than 0.1255?\nAnswer: 1.3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 288 - 153. Let d be ((-8)\/(-6))\/((-970)\/t + 4). Is d smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u - 7. Let o be g(5). Calculate the common denominator of (-183)\/66 - (1 - o) and 5\/2*(-21)\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68634.\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 9 = -4*o. Suppose -o*s = -3*s - 2. Sort 1, 4, s.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 2*o - 4 - 8 = 0, 0 = -2*k + 2*o - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**9\/7560 - k**8\/1260 - k**7\/504 - k**6\/360 - k**5\/30 + 3*k**2. Let c(j) be the third derivative of u(j). Factor c(z).\nAnswer: -2*(z + 1)*(2*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckcc when four letters picked without replacement from {k: 2, c: 11}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 0*m - 2*i - 84 = 0, -i = 3. Solve -j + m = -3*s + 22, 0 = -2*j + s - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 48873368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(15)\/(sqrt(60)\/(sqrt(12)*2)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1453561, -1453548, -1453523, -1453480, -1453413?\nAnswer: -1453316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 65*l + 78. Let n(g) = g + 1. Determine -a(i) + 78*n(i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + (21 - (-1 - 0)). Suppose -j + 6*j - n = 0. What is the smallest common multiple of 2 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 0*g**2 - 19 + 0*g - 7\/3*g**3 + 4*g**5 + 0*g**4. What is the third derivative of t(j) wrt j?\nAnswer: 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 7:43 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 846, 785, 762, 783, 854, 981, 1170?\n\"Answer: d**3 + 13*d**2 - 107*d + 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 11:00 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37\/165 - -14\/33. Let x = -0.595 + 3.595. Which is the fourth biggest value?  (a) t  (b) 5  (c) -2\/7  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 7408*z**2 - 7*z + 15. Let q be c(9). Suppose -q = -2*n - n. Round n to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of 3*d**4\/2 + d**3\/3 - d**2\/2 - 3. What is the remainder when 20 is divided by u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*i**2 - 4*i**2 - 9*i**2 + (0*i - i - i)*(-i + 0*i + 3*i))*(-11 + 27 + 120*i**3 - 16).\nAnswer: -4680*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1606 at least -1500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/((sqrt(49)\/sqrt(7) + sqrt(7))*-6).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 4*c - 68. Let j be m(11). Suppose -2*f + j*f = -9*f. What is w in 1\/3*w**2 + f - 1\/3*w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 7897.468 centuries?\nAnswer: 789.7468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-224)\/(-96)*(-3)\/(-35)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 4*w + 14 = 0, -4*y + 12*w - 16 = 8*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c**2 - c + 2. Let h(d) = 6*d**2 + 2*d - 4. Let i(v) = 43*v + 2799. Let t be i(-65). Give t*h(n) + 9*b(n).\nAnswer: -3*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 20497063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17105691.\nAnswer: 3, 5701897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 12*b - 36. Calculate q(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1)\/k)**(-1\/17)\/(k**(2\/7)\/(k\/(k*k**1))) assuming k is positive.\nAnswer: k**(-139\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1 + sqrt(1053) + 0.\nAnswer: -2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three eighths of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25\/4 of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12243 and 11781?\nAnswer: 624393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7\/5, 1.2, 0.7, 7\/2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3328 + -3051. Suppose -a = -2*d + 90, -3*d = -5*d + 2*a + 86. Calculate the remainder when b is divided by d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3166 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*n - 20*n + m - 3, 0 = 3*n - 27*m - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-25)\/10)\/((-4)\/8). Suppose 0 = 5*m - 2*f - 323, -m = -n*m + 4*f + 268. Is 40 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 304*c - 301*c - 10 = -t, 2*c - 14 = 3*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of a**6\/120 - a**5\/10 - a**4\/12 - a**3 - 54*a**2 - 92*a. Let f(q) be the first derivative of w(q). Calculate f(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4640 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r**2 - 5*r - 3. Let i be c(4). Suppose -j + v = 3*v + 90, 2*j + 2*v = -176. Let s = j - -122. What is the greatest common factor of i and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 884030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 25 - 5 = l, -2*l + o + 15 = 0. Let s(x) = 8*x - 3*x - 9 + l + 10. Let k(d) = -d - 1. Determine 4*k(f) + s(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of 0*w**4 + 0*w - 67\/210*w**7 + 0 + 40*w**2 + 0*w**6 + 0*w**5 + 4\/3*w**3. What is the derivative of j(s) wrt s?\nAnswer: -268*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nskk when four letters picked without replacement from ssnukkun?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 659442 is divided by 142?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c**2 + c**2 - 17*c**5 + 1949*c + 7538*c**4 - 3799*c**4 - 3762*c**4 - 3 wrt c?\nAnswer: -1020*c**2 - 552*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 19309?\nAnswer: 38618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 3*y + 2. Let g be v(-3). Let -u - u**3 + g*u**2 + u**2 - u**2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b**3 + 4*b + 5*b**3 - b**2 - 8*b**3 in the form l*b + w*b**3 + t + d*b**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 10 = -2*j. Suppose -4*n = -6 - j. Suppose n = -v, 4*v - 1 + 0 = -c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 11) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 106548 times -2004\nAnswer: -213522192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1140480*y**4 - 41*y**2 + 370*y - 1?\nAnswer: 27371520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -489*v - 1400*v + 51003 = 0 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19719 - 31092 = -27*w - 8475. What is the remainder when w is divided by 143?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -9700\/3  (b) 0.05  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88229, -88204, -88179, -88154, -88129, -88104?\nAnswer: -88079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2616a - -2d?\nAnswer: 26199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6243626441 to the nearest integer?\nAnswer: 79017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 0)*-4 + 1. Let p(l) = -14*l**3 + 2*l**2 + 44*l + 121. Let z be p(-3). Suppose 0 = n*h + 6*h - z. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 63*d - 449. What is x(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 13*y. Let s(p) = -9*p + 6. Let g(h) = h**2 + 12*h - 8. Let x(z) = 3*g(z) + 4*s(z). Determine i(x(d)).\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*m + 2*m + 0*m + (6 - 3 + 0)*(-m + 2*m + m) + (-1 + 1 - m)*(-5 + 3 + 0).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**2 + 81*b + 121. Determine u(42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 - 1)\/10 - 2. Let k = -4.5 - -2. Let o = 2 + k. Which is the smallest value?  (a) s  (b) -3\/4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lggtgtgbghhbr. Give prob of sequence httr.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 73 - 65. Let x(r) = -r**3 - 6*r**2 - 3*r + 6. Let t be x(-6). What is the greatest common factor of d and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*v + 78*v + 72*v - 228*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 3)*-5.\nAnswer: -10*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12072*n - 232*n + 2004*n - 8123*n + 960*n to the form d + z*n and give z.\nAnswer: -17463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 172, 340, 536, 778, 1084, 1472, 1960?\n\"Answer: 3*f**3 - 4*f**2 + 159*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-1)\/1))\/(125\/(-10))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 83 + -78. Suppose 3*u = 6*u + a - 4149, 0 = -4*u + z*a + 5551. What are the prime factors of u?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4100572120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.75 + 1.75. Which is the closest to -0.2?  (a) -5  (b) t  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*k - 1 = 83*k, -3*k - 9019 = -2*v. Is v a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {b: 2, e: 4, o: 3, s: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 3. Suppose 0 = -0*c - 3*c + 27. Solve d = 3*s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13033, -26070, -39109, -52150, -65193, -78238?\nAnswer: -91285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-23 - (74 - -1)) + 33.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 177*x - 7409. Let q be m(68). Which is the closest to q?  (a) -4  (b) 2\/11  (c) 42  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -1 - y**3 + 4 - 6 + 5*y**2 + 7*y. What are the prime factors of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 507*t - 233. Let f be k(13). Which is smaller: 6357 or f?\nAnswer: 6357","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 153 + 1\/((-2)\/6). Solve 0 = -149*x + y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k. Let z(s) = 1340721094*s. Calculate z(q(p)).\nAnswer: -2681442188*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 plus -0.5?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 99782040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 3*s - 3, 2 = -5561*y + 5562*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 123, 493, 1095, 1917, 2947, 4173, 5583, 7165?\n\"Answer: -2*v**3 + 128*v**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -6 + 14, 3*x = 5*s + 67. Let d be 1\/(1*1\/(-15)). Let t = d + x. What is the greatest common divisor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (168\/60)\/(24\/30). Put -20, d, -0.4, 3 in descending order.\nAnswer: d, 3, -0.4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a + 14. Let t be k(-14). Solve 4 + t = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.414698 and 0.1783.\nAnswer: -2.236398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -324 - -970\/3. Let v(p) = -3*p - 4. Let n be v(-3). Let s = 137 + -137.5. Which is the biggest value?  (a) -2  (b) j  (c) n  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 PM and 11:22 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, 1.32, 4, 5\/4 in decreasing order.\nAnswer: 4, 1.32, 5\/4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 642668086 to the power of 1\/2, to the nearest integer?\nAnswer: 25351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**8\/336 - 37*y**7\/30 + y**4\/8 - 25*y**3\/6 + 360*y**2. Find the second derivative of d(a) wrt a.\nAnswer: 20*a**3 - 3108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 30 = 2. Suppose -d*r + 2*m + 15954 + 12956 = 0, -5*r = 5*m - 36160. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d + 3*d + d. Let u(b) = -3034*b**2 + 1107. Let s(a) = 33*a**2 - 12. Let o(v) = 369*s(v) + 4*u(v). Determine f(o(m)).\nAnswer: 82*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 11681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4612797718 + -8.48\nAnswer: -4612797726.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04315 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-1)*(u\/u**(-2\/13))\/u)\/(u**1)**(-25\/2))\/((u*u\/(u\/u**0)*u*u*u)\/u*u**(-4))**3 assuming u is positive.\nAnswer: u**(459\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27 * -0.00546.\nAnswer: -0.14742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-18 + 0 + 17 + 9 + -35)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003190206 rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t = 120, 0 = 4*a + 10*t - t - 127 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 43*g - 47*g + 24. Let q = 31 - 15. Suppose -13*u - 1 = -53. Solve -q = 5*i - c, -3*i + g*c + u = 2*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 301 + 46 - 99)*(-4*v + 4*v - 4*v).\nAnswer: -880*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23586 - -36025. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6341, -12689, -19037?\nAnswer: -25385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2212 - 1?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.3727575 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000137 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2064.399 - 2065. Round l to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -15*z - 40. Determine r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {d: 1, o: 1, h: 4, r: 3, g: 1, m: 5}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -5*z**2 - 8 - 5\/4*z**4 + 0*z + 5*z**3. Solve y(w) = 0 for w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x - 7. Let j be 9 - (-1)\/((-2)\/4). Calculate the smallest common multiple of m(j) and (-3 - -2 - 0)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -766 (base 9) to base 12\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of -1\/3*d**3 - 3 - 3*d + 64*d**4 + d**2. Is u(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = n - 2*w - 79, -4*n = 3*w - 776. Suppose -2*c + 3*k = -28 - 45, -5*c = k - n. Suppose 60 = 5*u + u. What is the remainder when c is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21112 at most as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 12\/331?\nAnswer: 12\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 PM and 10:17 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**5 - 25360*y**4 - 79958644*y**3 + 2744189992*y**2 - 12039662154*y + 9375456168 = 0. What is y?\nAnswer: -6357, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2*(sqrt(3) - sqrt(9)\/(sqrt(18)\/sqrt(6))) - 1*(-1*sqrt(300) + -5).\nAnswer: 5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 963*n - 213*n - 198*n - 216*n - 197*n - 181*n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -77019 - -77023. Let j = -5 - -22\/5. Which is the closest to 1\/2?  (a) j  (b) l  (c) 2  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 33362 = -14*d + 9*d, 0 = -d + 2*j + 6650. Calculate the highest common divisor of d and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 13253, -8, 3 in ascending order.\nAnswer: -8, 3, 4, 13253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/1)\/(2\/6). Is (a\/(-4))\/(-3) - -87 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**10)**39\/((l*l**(-14))\/(l**(-2\/7)*l)))**(-6) assuming l is positive.\nAnswer: l**(-16956\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 5*l = 200, -2*r + 0*r = 5*l + 87. Let t = r - -56. Let m be (-2)\/t - (-4)\/(-45). Which is the nearest to m?  (a) -4  (b) -1\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 3*s - 0*s - 83, 0 = 5*c - 4*s - 76. Sort c, 2, -3\/2 in descending order.\nAnswer: c, 2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, t: 2, h: 1, l: 1}. Give prob of sequence lh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - 4\/((-40)\/50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 29*w + 160. Let t be b(-22). Let u(v) = 9*v - 47. Give u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4516 = 29*p - 25*p. Let l = 303 + -298. Suppose 0*m + l*m = -k + 215, 5*k = 2*m + p. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.563, -82, 3, -0.8 in increasing order.\nAnswer: -82, -0.8, -0.563, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 3*m - 288. What is the remainder when m is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31375952 a multiple of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -8\/7, -3, 3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**5\/7 + 38*m**4\/7 - 40*m**3\/7 = 0.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from hrwwrwwwwwhrwfww?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 10*j**3 + 2*j**2 + j. Let u be g(6). Is (u\/24)\/((-2)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -431471.\nAnswer: 5\/431471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3378.5 - -3378. What is the second smallest value in 0.5, k, 924?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31987*q**3*v**2 - 159*q**2*v**2 - 2*q**2*v + 5*q - v**2 wrt q.\nAnswer: 191922*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 10*j - 21. Let f be c(-7). Suppose 4*w = f, -5*w + 16 = 4*p - 12. Suppose -5 = -v - u, 1 = 2*u - 3. Solve p = v*h - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 104 = -5*x, 0 = 3*x - 0*x - 4*j + 68. Let n be (3\/42)\/((-12)\/x). Let h = -44\/105 + n. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11, 90, 259, 496, 801?\n\"Answer: 34*y**2 - y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of -1\/2*u**2 - 8 + 7*u. Give y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u**3 - 2*u**2 - 2*u - 1. Let y(q) = -5*q**3 + 3*q**2 + 3*q + 2. Let r(d) = -3*d + 138. Let i be r(48). Determine i*v(f) - 4*y(f).\nAnswer: -4*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.07  (b) 10  (c) -0.4  (d) 1\/4  (e) -4  (f) -0.073\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.38 + -3100562670.\nAnswer: -3100562669.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 - -33. Suppose n = 55*f - 54*f - 8. Suppose -18 = f*p - 34. What is the smallest value in 0, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 2, -97, -288, -601?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 16*y**2. Let a(k) be the second derivative of -385*k**4\/12 - 1568*k. What is 2*a(z) + 49*l(z)?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 4 = -0*j + o, -5*o = 4*j + 1. Calculate the remainder when ((-696)\/28)\/(20\/(-70)) is divided by (-36)\/15*j*-10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 16798 in descending order.\nAnswer: 16798, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 11:01 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of 103*y**6\/60 - 7*y**4\/24 - 7*y**3\/6 + 481*y**2. What is the second derivative of s(d) wrt d?\nAnswer: 1236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 14. Let x be (-1*b)\/((-6)\/(-8)). Let s = -2 - x. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2423 - -2463. What is the lowest common multiple of z and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 3*s**2 + 2. Let g be c(3). Suppose 2*r = -u, -3*u + 5*u - 6 = -g*r. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 5, -30630, -1\/5, 245 in descending order.\nAnswer: 245, 5, 0.1, -1\/5, -30630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**2 + 5*j - 9. Let d be f(-4). Suppose 3*g - 2*w = 4, 0*g + 2*g - 20 = -d*w. Suppose 0 = g*s - 351 + 111. Round s to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -1. Let m(r) = 23*r - 5. Let g(s) = -m(s) + 5*x(s). Let z(v) = -5*v - 3*v + 3*v + 7*v. What is g(z(h))?\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140*y - 13652 - 5528 = 0. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 151?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p - 12. Let f be m(5). Let y = 14 + f. Calculate the least common multiple of 4 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102618?\nAnswer: 2, 3, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + n + (4 + 0 - 3)*(n + 1 - 1) - n - n + 4*n)*(-5*n**3 + 5*n**3 - 2*n**4).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - b - 5 - 6, -55 = -5*y + b. Let q(v) = -v**3 - 3*v**2 - v + 3. Calculate the remainder when y is divided by q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64016 is divided by 509.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 25*k - 43. What is p(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 395 - 394.93. Let c be (-12)\/(-16) + (-231)\/276. Sort 1\/2, c, z, -1.\nAnswer: -1, c, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 266*o**2 - 2*o + 1. Let z(w) = w**2 + w - 1. Let m be z(0). Let p be m\/3 + 8\/6. Is q(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*m = -1516 + 2230 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -60 + 208. Calculate the greatest common factor of 111 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 1\/20*j**5 + 0 + 0*j**4 + 0*j + 1\/3*j**3 + 2*j**2. Differentiate t(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**3 + 3*k**3 + 0*k**3 + 0*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -3*b + 1. Let w be x(5). Let i = w + 33. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/25?  (a) 3  (b) 1\/4  (c) -0.19  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/24*6\/4*4. Put -0.3, -3\/4, 0.5, l in descending order.\nAnswer: l, 0.5, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, 42, 185, 468, 939, 1646, 2637?\nAnswer: 3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 35) + (50 + -134 - -141)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 940643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/15?  (a) 0.5  (b) -2  (c) 3  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10244986 to the nearest integer?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**2 + 2*v**4 + v**2 + 0*v**3 - v**4 + 0*v**3 + (0*v**4 + 2*v**4 + v**4)*(-4 + 2 + 4).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 110*g**3 - 9*g**2 + 456*g + 9. Let t(x) = 28*x**3 - 2*x**2 + 114*x + 2. Let v(m) = 4*s(m) - 18*t(m). What is the second derivative of v(i) wrt i?\nAnswer: -384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 7:19 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 11997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2dfcb + a?\nAnswer: 2dfd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273*d**5 - 825840*d**4 + 624988221*d**3 - 658400382*d**2 - 6912864*d + 41150592 = 0. Calculate d.\nAnswer: -3\/13, 2\/7, 1, 1512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -769, 5\/2, -2 in decreasing order.\nAnswer: 5\/2, -2, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (((-24)\/7)\/1)\/((-3)\/(-252)). Let q = 201 - i. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 218 - 212. Let d(s) = -s**2 + 6*s + 6. Let m be d(6). Solve -h*k - m = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 4*k**2 - 237*k - 845. What is b(62)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from ojoomtototqjvoovo.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 8*b + 8. Let l be q(7). Solve 4*s - l = -9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 92.27 to 0 dps.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0998904 rounded to three decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/1307?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7786 + -7705. What is the greatest common factor of t and 1593?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.08873 to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 362583.\nAnswer: 725166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1866708 is divided by 186?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 8.671178mm?\nAnswer: 0.000008671178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -256*n + 10. Let i be a(-1). Let c = 314 - i. Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 117 and 195?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 413414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 3 = 3. Let r(y) = -y**3 + y**2 - y - 1. Let a(i) = 3*i**3 - 5*i**2 + 5*i + 2. What is x*a(k) + 5*r(k)?\nAnswer: -2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iniinnniiiin. Give prob of sequence ni.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 10) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -682\/73 + 1958\/1241. Let p = 958\/119 + i. What is the smallest value in 5, p, -4, 34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 746075338 plus -4?\nAnswer: 746075334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15179 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -4*a + 47. Let t be w(11). Suppose -t*d = -1225 - 1151. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 6:34 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 7*l**2 + l. Let r be k(-1). Let b = r + -3. Calculate the common denominator of 2\/b + 650\/(-84) and -7\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21584, 43081, 64418, 85523, 106324, 126749, 146726?\nAnswer: 166183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*(j**(2\/7)*j*j)\/j*j)**(14\/15)*j\/j**(-2\/7)*j**3\/j assuming j is positive.\nAnswer: j**(667\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v + v**3 + 5 + v**2 + 5*v**2 - v**2. Suppose 0 = 3*t - 5*t - 10. Let q be p(t). Are -3 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - -53. What is the remainder when 243 is divided by x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 7\/60696974?\nAnswer: 7\/60696974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -13*h**3 - 635*h**2 - 5*h - 5. Let t(y) = 11*y**3 + 636*y**2 + 4*y + 4. Calculate -4*f(g) - 5*t(g).\nAnswer: -3*g**3 - 640*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + u - 5 = 0. Calculate the remainder when -2*(2 + (-15)\/u) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266973 is divided by 6348?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 90 in -3, 1\/2, -1\/31, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 9:46 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 23. Let w = f + -38. Let o = w - -12. Which is the smallest value?  (a) 3  (b) -2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4\/4599 + 7697\/36792. Let o(y) be the third derivative of 0 + 0*y - b*y**4 - 1\/24*y**5 - 9*y**2 + 0*y**3. Let o(r) = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 141, -320 in ascending order.\nAnswer: -320, 0.4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (1 + -1 - (-8 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 309 = 5*l + 3*o, 0*l + 244 = 4*l + 4*o. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4147146260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2096819 divided by -5\nAnswer: 2096819\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5653933687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 + 14*j**2 + 11*j - 12. Suppose -3*p + 2*p + 15 = 0. Let r be d(p). Find the common denominator of 0\/(2 - 0) + (-369)\/r and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 12*r - 2*r + 28*r. Let t(v) = v**3 + 5*v**2 - 2*v - 8. Let n be t(-4). Let x(p) = -8*p + n*p - 7*p. What is k(x(y))?\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -31969, -31970, -31971, -31972, -31973?\n\"Answer: -l - 31968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/221195 and -45\/2132.\nAnswer: 884780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*(1 + sqrt(3)) + (sqrt(3) + sqrt(300) + 0 + sqrt(300) + sqrt(300))**2) + sqrt(540)\/sqrt(5) + (sqrt(75) + sqrt(3))*5 + sqrt(3).\nAnswer: 32*sqrt(3) + 14410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*45\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190)*-2*2)\/(sqrt(360)*2 - sqrt(10)))**2.\nAnswer: 304\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22511 is divided by 72.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15827289.\nAnswer: 3, 17, 23, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**2 - 10*a + 0*a - 6*a**4 - 8*a - a**2 wrt a?\nAnswer: -72*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 + (3 - (-3 + 1)). Let w be (159\/2)\/3 - (m + 1). Let h = 25 - w. What is the nearest to 3 in h, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*2\/2*-26*(-61)\/(-1098)*-9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 PM and 8:48 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85 + -82. Solve 0 = -3*o + 12, -6*o + l*o = 2*w - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -fa - -195ec8?\nAnswer: 195dce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 40327247 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*y = 12*y + 180 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 443402+676576\nAnswer: 1119978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6554 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60767333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -7. Suppose 3*t = -m*t + 201. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 4 + -1*3. Suppose -3*p - 29 = -5*v - c*v, -4*p = 12. Solve -2*h**5 + v*h**5 - 4*h**5 + 3*h**5 + h**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 27 - ((-31050)\/3825 + 4\/34). Sort o, -2, -92 in decreasing order.\nAnswer: o, -2, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 21*y**2 - 5*y - 9. Let j be r(-5). What is the third derivative of 270 - 2*i**2 + 271 - 27*i**5 + 11*i - j wrt i?\nAnswer: -1620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/4  (b) 5  (c) -4  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y - 8*y - 25*y = -132 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8933 is divided by 79?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 8) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - n - 12, 3*q + 8 = 89*n - 88*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of 1760*h**6\/3 - 2*h**2 + 422*h + 5188. What is the second derivative of z(g) wrt g?\nAnswer: 70400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-2) - 0)*(-2 + 0). Solve -2*k = -5*d + 3*d + 2, 0 = -5*k - w*d - 41 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(65)\/(1*sqrt(5)) - ((0 + sqrt(13))*1 + 1*(sqrt(13) + -2)))**2.\nAnswer: -14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*f - 9*f + 4 - 3 in the form m + h*f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/9 > -0.0393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - s = 1. Let q = 2 - s. Let u = 0.554 - 0.054. Which is the third biggest value?  (a) u  (b) -2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00552 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32955 = 34*p - 8*p + 249*p + 570*p for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 209\/82 - 2\/41. Let u = 4 - 4.6. Let h = u - 0.4. What is the biggest value in -1\/3, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 7*a**3 - 3*a**2 - 24*a + 21. Does 49 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -42 bigger than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y + 0*y - 2*y + 4 + 2*y - 4 + (-2*y + 6*y - 3*y)*(-3 + 2 + 2))*(34 - 86 + 38).\nAnswer: -98*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 2*z + 73. What is r(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-3))\/((-1)\/6). Let p be (10*27)\/3*g. Suppose -p = 4*z + z. Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -13. Suppose f = -2*k + 5*k. Suppose 0 = 3*g + 6, 26 = k*p - 2*g + g. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 + (17 - 31) + 55 + -1 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 - -0.8. Let i = -1.63 - -0.33. Let u = 5.3 + i. What is the second biggest value in u, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 10:31 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4289 - 4288.99999742. Round s to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1617\/88 + 6\/(-16). Differentiate v*g**2 - 7 + 6*g**2 + 19 wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 882 and 47698?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of s**8\/2352 + s**7\/1470 - s**6\/840 - s**5\/420 - 7*s**2\/2 - 3. Let l(t) be the second derivative of c(t). Factor l(f).\nAnswer: f**2*(f - 1)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -413, -3\/4, 3, 0.3, 2\/167, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.4  (b) 0.03  (c) 491  (d) -4\/77  (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/173444 and 59\/100?\nAnswer: 4336100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 781*l**3\/6 + 55*l**2 + 307*l. Differentiate d(s) wrt s.\nAnswer: 781","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11a27a2 (base 11) to base 5.\nAnswer: 1013121033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21020221012 (base 3) to base 13.\nAnswer: 50024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-78 - -13)*(6072\/220 + (-33 - -5)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -120060414 >= -120060421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1383 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2131 (base 5) to base 6\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1340040 and 585?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 325 + -707. Let o = 385 + t. Which is the second smallest value?  (a) -0.2  (b) o  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i**2 - 4*i**2 + 35*i**2 to p*i + s + d*i**2 and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -56 - -60.8. What is t rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 122325465 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 5*b = -10*p - 2*b + 55 + 17, 3*p + 30*b = 162 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0*z - 10 = 0. Suppose 35*c - 41*c = -30. Solve 15 = x - c*x + 3*f, -2*x - f = -z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 328964.\nAnswer: 2, 82241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {c: 9, m: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*d*l**3 + d*l**2 - 901*l**3 - 228*l**2 - 2*l wrt l.\nAnswer: 42*d - 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/3)\/((-46)\/51681)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -82, -11324, 6\/25, -0.5 in increasing order.\nAnswer: -11324, -82, -0.5, 6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a**2 + 10*a**4 - 5*a**2 + 0*a**2 + 0*a**2 - a**4 + (-2*a - 2*a**3 + 2*a)*(4 + 2*a - 4))*(-7 + 7 + 13*a).\nAnswer: 65*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-0.50102.\nAnswer: -0.25051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 4:32 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18570 and 2310?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 480.33 + -480.63. Which is the closest to v?  (a) -5  (b) -0.2  (c) 11\/4  (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 47059530 and 1120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 3 = b. Let n be ((-3)\/9)\/(4\/(-60)). Let d be (n\/(-10))\/(2\/b). Put -3, d, 2 in descending order.\nAnswer: 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5\/3 + 7\/6. Sort s, -1\/7, 0 in descending order.\nAnswer: 0, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, k: 2, l: 7, y: 4, u: 2}. What is prob of picking 1 y, 1 k, and 1 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 + 0*s**2 - 9*s**2)*(23*s**2 + 6*s**3 - 23*s**2)*(-2 + 0 + 0 - 4 - 1 + 2 + (-2 + 3 + 0)*(3 + 2 - 3) - 3 + 1 + 0 + 5 + 2 - 4).\nAnswer: 156*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -18*f**4 - 239312*f**3 - 7157821856*f**2\/9 + 2121261568*f\/3 - 157140992 = 0?\nAnswer: -6648, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*z - 3*u = 8 - 822, 21*u = 5*z - z + 26*u - 42 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-58)\/(-435) - 38\/60. Put 3, d, 0.1, 11 in decreasing order.\nAnswer: 11, 3, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 8*x**2. Let t(s) = -12537*s**2 - 11751*s**2 + 23016*s**2. What is t(r(g))?\nAnswer: -81408*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6815?\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 5*k + 5*v - 22, 3*v = k + 2. Find the third derivative of -20*c**k - c**2 + 17*c**2 + 5*c**4 wrt c.\nAnswer: -360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 take away -52228?\nAnswer: 52213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-25))**(-44)*((f\/(f*f\/f**(-4))*f)\/f)\/f**(-9\/5) assuming f is positive.\nAnswer: f**(5264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 + -32. Let y be 4\/14 + k\/((-140)\/(-165)). Solve -3*s - 5 = 2*i, -5*i + 0*s - 10 = y*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -15, 1\/15, -4, 144?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 164\/396109  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - b + 12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 7*i + 42 = 22*x, 2*x - i - 7 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**13*v*v**(-2\/11)*v*v*v**(-2\/71)*v\/(v**3\/v*v*v) assuming v is positive.\nAnswer: v**(9989\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2, 5*l + 5*a = 3*l + 29. Let n = l - 9. Let g(h) = h**2 - 3*h - 3. Is g(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 114452 and 17598204.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18395692373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -11204?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/349218 and 151\/2088.\nAnswer: 1396872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/12*972\/(-54). Which is the fourth smallest value?  (a) v  (b) 0.5  (c) 23.6  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2042*-0.2\nAnswer: -408.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k + 11. Let f be t(-13). Let h(l) = -l - 5. Let s be h(-4). Sort f, 4, s in decreasing order.\nAnswer: 4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -202, -175, -130, -67, 14, 113?\n\"Answer: 9*n**2 - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 (base 15) in base 9?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47.79 + 166.79. Do -0.11 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*z + 26*z + 1637*z**2 + 5858*z**2.\nAnswer: 7495*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*x = -15*q + 107*x - 52, 0 = q + 3*x + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, k: 6, p: 12}. Give prob of picking 2 k and 1 y.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 5*q - 17, 3*q - 18 = -6*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*m + 2, 4*m = -f - 22. Let x(b) = 28*b - 2. Let q be x(-2). Let z = f - q. What is the lowest common multiple of z and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3139231t in kilograms?\nAnswer: 313.9231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iys when three letters picked without replacement from vsywvsywysisiiwy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148 + -20. Suppose -f - 4*d = 0, d = 3*f - 2*d - 60. Calculate the greatest common factor of f and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-10) + 2\/5. Suppose t = n - 1 - 5. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 + -35.7. Let u = r - 1.9928. Let p = u - 0.3. Round p to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -369843\/91, -5, 2\/5 in descending order.\nAnswer: 2\/5, -5, -369843\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*k + 5*n = 73, 152 = 4*k + 4*n. Suppose 0 = -7*f - 4 + k. What is the highest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 2, -137 in descending order.\nAnswer: 2, -6, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -7898  (b) 5  (c) -4\/7  (d) -2  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4*((2 + sqrt(13))*-5 - sqrt(13)).\nAnswer: -24*sqrt(13) - 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/15 - 317\/(-5). Let v = q - 41. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78631.26 millimeters in nanometers?\nAnswer: 78631260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + 0)**2 + -3.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1051, 2101, 3149, 4195, 5239, 6281?\n\"Answer: -b**2 + 1053*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 15. Let h = v + 8. Suppose 3*j - 5 = h*a - 2*a, 4*a = j + 15. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45504069 and 2964.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 16. Let l = o - 3. Is -3\/19 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 86 and -449.\nAnswer: -38614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from fcxxtc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3611 and 69.\nAnswer: 10833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 5*v - 1. Let p(l) be the third derivative of -l**3\/6 + 7*l**2 - 14. Give o(n) - 4*p(n).\nAnswer: 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -7116, -28470, -64060, -113886?\n\"Answer: -7118*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = p - 6*p. Suppose 20*q - 9*q + 836 = 0. Let n be 14\/q*(30\/21 - 1). Is n less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 4*p - 8, -2*k + 3 = 5*p - 7. Solve 3*u - 12 = -5*h, 2 = -p*h - 4*u + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t. Suppose 593*w + 0 + 0 = 586*w. Let l(m) be the first derivative of 15\/2*m**2 + w*m + 14. What is d(l(v))?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 5*s**4 + 145*s**3 - 1235*s**2 - 6625*s - 5250 = 0?\nAnswer: -35, -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 579, 2105, 4645, 8199, 12767?\nAnswer: 18349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(28))*-5 + (sqrt(567) - (-1 + sqrt(567)*2))**2.\nAnswer: -28*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*a + 11 = 0, 2*d + 3*d = -2*a + 78. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 5*c + 1. Let h be i(4). Suppose -h = 15*q + 55. Let x(b) be the second derivative of -b**4\/12 - 7*b**3\/6 - 3*b**2 - b. Calculate x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 99, 6, 4, -2 in decreasing order.\nAnswer: 99, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -80*(-44)\/228800*5*-1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 73466059 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9720\/2916*5\/(14125\/15).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(117)*1)\/(sqrt(36) + sqrt(576) + sqrt(36) - sqrt(36)) + (sqrt(468) - (sqrt(468) + 1)) + sqrt(130)\/(sqrt(10)*-2).\nAnswer: -3*sqrt(13)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 364 + 264 + p + 3*p**2 - p - 628.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 8*d**3\/3 + d**2\/2 + 10*d - 3. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -63689, -163 in decreasing order.\nAnswer: -14, -163, -63689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*v*v**(-1\/4)*v*v*v\/(v*v*v*((v\/((v*v\/(v*v**(5\/4))*v)\/v))\/v)\/v*v)*(v\/(v\/((v**11*v)\/v))*v)\/((v\/(v\/v**(-10)))\/v*v))**(-15) assuming v is positive.\nAnswer: v**(-765\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2*2788\nAnswer: -5576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 18*o**2 + 16*o + 17. Let n be y(17). Suppose -4*u + 20 = 0, -2*u + n*u = -5*c + 125. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 1\/5  (c) 7  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 182 and 319.\nAnswer: 58058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 0*n = 0. Suppose n = j - 3*j + 30. Suppose 18*p - 4*p = -31*p + 2025. Calculate the greatest common factor of j and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305927 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 595194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 505375 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2773685*r + 9*r**2 + 2773685*r - 3 - 2*r**2.\nAnswer: 7*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-4\/9)\/l**(2\/3))\/((l**1\/l)\/(l\/(l\/(l\/l**(7\/5)))*l)))**16)**(-40) assuming l is positive.\nAnswer: l**(2944\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9 - 9 - 4*u + 7 + u - 7 + 2*u - 4*u + u + (3 - 3 - u)*(-1 + 5 - 2) + 14*u - 15*u + 15*u + u + u - u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cyuuczucccuccccee. Give prob of picking 1 z and 1 c.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 78164 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 38*f - 276. Let n be k(-10). Solve -2*y = 4*s - 8 - 16, 5*s = 4*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -5*g + 2 - 1, 3*g - 2*w = 0. Let c be 6\/(-4)*(-4)\/g. Suppose 4*m = c*v + 56, v - 3*v = -m + 14. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 374974325 and 1100?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000100010011 - 110111111011?\nAnswer: 1100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b646 (base 13) to base 4.\nAnswer: -31020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 352259438 = -10*t + 89359438. What is t rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6))\/(8\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(sqrt(384) - 2*sqrt(384) - sqrt(384) - sqrt(384)).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -7*d**2 - 35*d - 32. Calculate t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -30 - 3. Suppose 1318 = z*g - 9*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 86 + -82. Suppose 0 = l*k + 3 - 7. Let b be (1 - -4) + -2 + 0 + k. Put 3, b, -2, -5 in descending order.\nAnswer: b, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -23, 11 in ascending order.\nAnswer: -23, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00083406 rounded to 6 dps?\nAnswer: 0.000834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -3*v + 4*v**2 + 0*v**3 - 1\/10*v**5 + 0 - 1\/2*v**4. Find c, given that d(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60\/14 + 8\/(-28). Let f = s - 1. Let k = 0.0346 - 1.0346. Sort -0.5, f, k in ascending order.\nAnswer: k, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 22065794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.26213ng in milligrams?\nAnswer: 0.00004926213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {c: 4, z: 4, s: 5, u: 1, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -7, -12, -19, -28, -39, -52?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 5*o**2 + 2*o - 7. Let g be (8 - (-2 - -1)) + -4. What is the remainder when 14 is divided by d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -5 + 2*j**2 + 2*j + j**3 + 4*j**2 - j**2. Suppose 1 = 8*n + 33. Give q(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 398, 395, 390, 383, 374, 363, 350?\n\"Answer: -i**2 + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13280287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t + 2. Let h be x(0). Let g = -16609 - -16651. What is the lowest common multiple of g and (-2 + h + 22)*1?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -108 times -9\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 1. Let f be 1\/1 - (2 + -5). Solve i*z = 2*z + f*q - 16, -4*q = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/14*(-48)\/(-6)*(-370)\/40?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -15*j + 86. Give q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2\/11 - 208*t\/11 + 615\/11 = 0.\nAnswer: 3, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4320, -25948, -61994, -112458, -177340?\nAnswer: -256640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1, 26, 109, 278, 563, 994, 1601, 2414?\n\"Answer: 5*m**3 - 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)*3 + 0 + ((sqrt(325) + 0)**2 - sqrt(13)) + 5.\nAnswer: 8*sqrt(13) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3159777 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 36 + 41. Let r be (-1)\/((-3 - g) + 1). Let t be r\/(2*(-2)\/(-28)). Solve t = 5*x - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 18*k**2 - 1. Let d be p(1). Let t be d\/4 + (-2)\/8. Suppose -3*y + 56 = t*o, 5*o - 2 = 4*y + 37. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70021776?\nAnswer: 2, 3, 11, 17, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - (8\/(-44) - 40\/22). What is the hundreds digit of 4 - (-4 + i) - -272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 113 - 97. Let p(y) = 48 - 36*y**2 - 42*y**2 + 79*y**2 - 17*y. Is p(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -2. Suppose -2*i = -3*q + 6, 2*i = -d*q + 3*i + 5. Suppose -38 = -q*k + 6. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257 less than or equal to 271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-84)*-6 + 6\/(-84). What is the closest to n in 0, 4, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42513 and 92686.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102968*q = 102961*q + 91 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*x + 73*x + 2147 = 0 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -69*i**3 - 252*i**2 + 52671*i wrt i?\nAnswer: -414*i - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eibbbbbbbiebbbbbebbb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 13) to base 2\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6268775*n - 9802*n**2 + 6268775*n + 27626*n**2.\nAnswer: 17824*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofgem. What is prob of sequence fg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 271474 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 471721496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.055303 - -291843.231.\nAnswer: 291843.175697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127607 is divided by 1141?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.86685mg in micrograms?\nAnswer: 30866.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -3*g**8\/112 + g**5\/15 - g**2. What is the third derivative of x(n) wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.7 and 217.8231826962.\nAnswer: 218.5231826962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8040000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -15*h**8\/112 - 25*h**4\/12 - h**3\/6 + 60*h**2. Find the second derivative of s(r) wrt r.\nAnswer: -900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2013323220 - 11?\nAnswer: 2013323203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 125?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**3 - 62*o**6 + 37*o - 72*o + 308*o**2 + 72*o**2 + 35*o wrt o.\nAnswer: -7440*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -134005 divided by 1056?\nAnswer: -134005\/1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q - 2. Let m(j) = 10*j + 74. Let p(a) = -2*m(a) - 20*v(a). Let o be p(6). Solve -5*y + o = -2*w, 5*w + 7 = y - 0*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 4*y + 5 - 11 + 5 + 4*y. What is the remainder when 72 is divided by q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/10629360 and 149\/430920?\nAnswer: 31888080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 0 + 1 + -1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-111)\/45*(-20)\/36 and -24\/7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 6*l - 96. Let a = 12 + -10. Let k(u) = u - 19. Let w(o) = a*h(o) - 11*k(o). What is the remainder when w(5) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-288)\/1864) + 14\/252.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -6*x**2 - 7*x - 2. Let c(t) = -2*t**2 - 2*t - 1. Let y be -14*(105\/10)\/21. Determine y*c(h) + 2*a(h).\nAnswer: 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 539*u - 97*u - 168*u - 170*u - 111*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 288 + -289. List the prime factors of 84\/(2 + j\/3*3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1.831314 litres?\nAnswer: 1831.314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3051717 is divided by 593?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85998258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003490724 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {x: 1, r: 2, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 - -37. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + -17231835731434\nAnswer: -17231835731433.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.009  (b) 14  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3074985 is divided by 2822?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1241.99505 rounded to the nearest ten?\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -211*i - 9. Let c be 2\/((-40)\/12 - -4). Suppose c*v - 5 = -h, -5*h = 2*v + 11 + 3. Is r(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**3 - 5*n**2 + 2*n - 4. List the prime factors of j(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 20, -2*f - 4*c - 194 = f. What is the tens digit of -2 + -1 - f\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 448.\nAnswer: 0, 4, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -359*k**3*t**3 - 113*k*t**3 - k*t**2 - t**3 wrt k?\nAnswer: -2154*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 498651 - 22931 = 6782*t - 10721 - 117157 for t.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttttltttttttlttt. What is prob of picking 1 l and 2 t?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cchec. What is prob of picking 2 c, 1 h, and 1 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/35*(1 + -8). Let z(g) = g**2 + 9*g + 8. Let m be z(-7). Let u be (-4)\/6 + (-52)\/m. Solve 0 = -d + 4 - r, -3*b = -d + u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52 - 54 - 1) + (5 - (-4 - (0 - 2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 9595\/3 - 3229. Let t = x - -30. Which is the second biggest value?  (a) 0.4  (b) t  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 6*x + 35. Suppose -x*q + 5*r = -20, -4*q = 2*r + 2*r. Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 2*y - 4*v, 5*y = 4*v + 18. Let o be 2 + 42\/(-3 + y). Suppose -o = q - 51. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1654047971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44259053, 44259048, 44259043, 44259038, 44259033, 44259028?\nAnswer: 44259023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 221211865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 5213*q**3 + 5044*q**3 - 10259*q**3 - q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 1244*t - 3729*t - 11431 + 1239*t + 1248*t as p*t + w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 18*i + 21. Let f be m(19). Suppose 5*d - 1467 = r, f*r = -3*r - 10. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 10*l**2 + 2*l - 11. Let a be d(10). Suppose -3*y + 30 = -v, a = 4*y - 2*v - 31. Suppose -3*m = -4*m + y. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 713\/17?  (a) 4  (b) 4\/5  (c) -3  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 316798967.\nAnswer: 53, 5977339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 1)\/((-3)\/((-4)\/(-8) - 2)). Put -8, u, -2, 1, -13 in ascending order.\nAnswer: -13, -8, -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4834283 milliseconds to nanoseconds.\nAnswer: 483428.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12444 and 23868?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 439\/57  (c) 12.1  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 38876052 times -7?\nAnswer: -272132364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5628?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425415.\nAnswer: 3, 5, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 + 32 = 17*m. Solve m*g + 23 = -29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 310332.\nAnswer: -1\/103444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -167, 5, -0.34, 3\/7 in ascending order.\nAnswer: -167, -0.34, -0.1, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32100 + -21690. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*j + 32 - 17*j**2 + 88 + 38 - j**4 + 17*j**2 to i*j + q*j**4 + t*j**2 + n + w*j**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -51*o**2 - 5*o + 9 - 60*o**2 + 122*o**2 - 3*o**3. Let l(h) = 2*h**3 - 6*h**2 + 3*h - 5. Give -3*j(b) - 5*l(b).\nAnswer: -b**3 - 3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**4 + 6*b**4 - 2*b**4)*((-b + 2*b + b)*(-2 + 0 - 1) - 21 - 4 + 2*b + 5).\nAnswer: -4*b**5 - 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6101096461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 1633 = 5*v, 2*l + 234 + 1394 = 5*v. Suppose 4*w + 152 = 2*i, -4*i + v = -2*w + 5*w. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 4.69984\nAnswer: 2.69984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 8410720?\nAnswer: -8410724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5684.63 - 5661. Let s = o - 3.33. Let z = -16 + s. Round z to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - 3*t - 16. Let x be u(6). Let j = -100 - x. Calculate the smallest common multiple of -1*13\/(39\/j) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 4*c = 0, -39 + 19 = 3*o + 2*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, -0.049, -3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (33 - 108 - -77) + (21 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -6*p + 137. Give f(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 9855*i + 49280. Give u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Subtract 2501 from 967.\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68041 = -22*g - 68503 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 383247665.\nAnswer: 5, 37, 1021, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {h: 4, z: 1, b: 1, i: 2, g: 3, j: 7}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 9:42 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssasddad. What is prob of sequence ssd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 4*sqrt(22)\/sqrt(2) + sqrt(99)\/(sqrt(9) + sqrt(9)*2) + sqrt(121)\/(sqrt(1188)\/sqrt(3) + sqrt(11)).\nAnswer: 2 + 94*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (112\/(-6))\/(-8) - 42\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55726744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5559 divided by -109\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + 232 + -267 + (20 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2429943884 divided by 4.\nAnswer: 607485971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*m + 19, 5*l - 2*m + 5 - 1 = 0. Suppose -5*a + s - 3*s = 4, s = -3*a - 2. Suppose -2*n - 4 + a = 0. Is n <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -84.87933 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2164 and 40.\nAnswer: 21640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9608 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -375006  (b) -4\/5  (c) -0.3  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*o - y - 0, -12 = 5*o - 4*y. Let z = 9 + o. Solve -5*r + j + 7 = -8, -z = 3*r + 3*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 20 = d. Suppose -t - t + 3*f = -142, d*t - 2*f = 344. Suppose 3*m + m - t = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 66\/4*(-6)\/(-9). Suppose s - 41 = 5*v. Let t = v - -10. Calculate the smallest common multiple of 18 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 23 - (-3 + 0 - -2). Suppose -3*f - 3*j + 12 = -0*f, 5*f = -3*j + r. What is the highest common divisor of f and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 66 = 4*g + 54, 0 = z - 5*g - 10. Let i = -501 - -514. Calculate the remainder when z is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 884953.\nAnswer: 199, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 13 = -f, 10 = 4*z - 2*z + 2*f. Let i(j) = j**3 - 10*j**2 + 12*j - 8. List the prime factors of i(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from powoooowp. What is prob of picking 3 o?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v**2 + 2922*v - 59597. Give s(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6017938 or -6017937?\nAnswer: -6017938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64 and 206144.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(288)*2.\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*u + 90*u + 228*u + 124*u)*(0*u**3 - 2*u**3 + 3*u**3).\nAnswer: 420*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/13 - (-2600)\/(-9295). What is the biggest value in 0, -11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -84*t - 1089. What is w(-20)?\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -21*f + 56. Let l(w) = 4*w - 11. Let b(y) = 11*l(y) + 2*s(y). Suppose 0 = 3*j - 1 - 20. Let u be b(j). Solve -u*k = 2*v + 10 + 6, 2*k = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1207802, 1207824, 1207868, 1207940, 1208046, 1208192, 1208384?\nAnswer: 1208628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -43 - 1926\/180*-4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 51510*b**2 + 111695*b + 195.\nAnswer: 5*(6*b + 13)*(1717*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64b81 (base 12) to base 6.\nAnswer: 2503441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 189 = -5*x. Calculate the remainder when 318 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (2 - 3)) + -4 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 178, 616, 1468, 2872?\nAnswer: 4966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13963078 to the power of 1\/2, to the nearest integer?\nAnswer: 3737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2283 divided by -6?\nAnswer: -761\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108 and 22.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 16*m**2 + 1. Let q(n) = 181*n - 361*n + 180*n + n**2 - 6. Let k(y) = -8. Let f(b) = -3*k(b) + 4*q(b). What is p(f(j))?\nAnswer: 256*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 24528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -103 + 147. Let p(v) = -15 + 10*v**3 + 2*v**2 + z - 21 - 18. Let c(o) = 7*o**3 + o**2 - 7. Determine -7*c(w) + 5*p(w).\nAnswer: w**3 + 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = 9*x - 13*x. Let q = 38 - x. What is the second biggest value in q, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v + 2 + 0 - 1 + 2*v - 2 + 2 + (-1 + 3 - 4)*(-3 + 3 - 2*v) - v + v - 2*v.\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - 0) + (-169 - -163).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23151 - -24291. What is the greatest common factor of n and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/7 and -113\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1454 + -1006. Let i = p + -543. Sort i, 0, -5 in ascending order.\nAnswer: i, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = -8*y + 13*y + 29*y. Suppose 9\/5*s**2 + 4\/5 - y*s = 0. What is s?\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -163 - -5555?\nAnswer: 5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24310213\/421 + 57744. Find the common denominator of 34\/5 and u.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v - 44. Let q be n(-18). Let f = q - -393. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -6\/311 + 335\/1244. What is the closest to z in -1\/7, -4, 13, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1815160 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 121 - 116. Let z(h) be the second derivative of -1\/12*h**4 + 0*h**2 + 1\/30*h**6 + 0*h**3 + 0 - h + 0*h**s. Find the third derivative of z(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1)*a**(-5\/2)*a**(-3)\/(a\/(a*a*a**(2\/13))) assuming a is positive.\nAnswer: a**(-139\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaataaaaaaaaaaataaa?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a - 10. Suppose 6*k - k = 3*g - 31, 22 = -2*k - 2*g. Determine x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9 from 16050450636.\nAnswer: 16050450645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 8:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -771 + 885. What is the remainder when t is divided by 83?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4\/3, 0.5, -4, 1189\/2 in descending order.\nAnswer: 1189\/2, 5, 0.5, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnze when four letters picked without replacement from eneguzzn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9 - 9)\/(0 - 1). Suppose g = 2*l + l - k + 5, -2 = -2*l - 2*k. Is 0 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5138 - -2?\nAnswer: -5136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, -0.3, 5, 0.3 in decreasing order.\nAnswer: 5, 1.5, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.10846ug to milligrams.\nAnswer: 0.00810846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 196*a**3 - 45024*a**2 + 76752*a - 32832.\nAnswer: 4*(a - 228)*(7*a - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 124656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -38 - 41 + 83 + 5*c**3 as w*c + t*c**3 + k + f*c**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.04, 0.04, -7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -10*g**5 + 6825*g**4 - 3220*g**3 - 129375*g**2 - 139960*g + 102300 = 0.\nAnswer: -3, -2, 1\/2, 5, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(156) - (sqrt(156) + -2*sqrt(156)*3)) + sqrt(156))\/sqrt(12)*2.\nAnswer: 3 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -459*x**2 + 103*x - 322*x**2 + 18*x**2 - 105*x as z + r*x**2 + y*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 147684396 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -0.08  (c) 2\/17  (d) 9\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/(h\/h**12))\/(h**(2\/35)\/h))\/(h**4\/(h*h**(1\/25)\/h)) assuming h is positive.\nAnswer: h**(1747\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -2, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -46158 divided by 3\nAnswer: -15386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -466 + 201. Let b be (2 - n\/900) + -4. Let h = -19\/18 - b. What is the common denominator of h and -73\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10885956 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/30*(-4)\/(-6). Let b = 6.2 + -6.012. Let k = 0.138 - b. What is the second biggest value in k, 4, 5, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 4)*(-1006*i + 1536*i - 6 - 728*i).\nAnswer: -198*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 - 41*u**2 + 25*u - 60. Let t be h(20). Solve t = 2*c + 36 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 26 = -q. Let x(h) = -21 - h**2 + 2 + 2*h - 17*h. Is 5 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1184942.\nAnswer: 2, 11, 53861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*h**3*p**2 + 3*h**3*p + 3*h**2*p + 320*h**2 - 13792*h*p**3 - 2 wrt p?\nAnswer: 6*h**3 - 82752*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -2\/9  (b) -81  (c) 0  (d) -5  (e) -6  (f) 0.1645\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6646432411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8286898*i**2 + 15*i + 509373?\nAnswer: -16573796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 340 + -340. Solve a + 11 = 2*f + 3, a - f + 3 = h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52 - -54. Suppose -4*b = -d*z - 16, 2*z = -4*b - z + 36. Suppose 0 = -2*g - 2*a + 1788, a - 3531 = -4*g + b*a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 2*m**2 - 63*m + 5. Let z be b(-9). Let s(p) = 8*p**3 - 10*p**2 - p + 13. What is the hundreds digit of s(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44694 divided by -2483.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115711.\nAnswer: 251, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 9:11 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x**2 + 152*x - 301*x + 149*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 34*n**2 - 37*n - 71. Let h be s(-35). Is -182 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**3 + 0*y**3 + 3*y**3)*((-2 - 2 + 2)*(2 + 3 - 4) + 5 - 2 + 9 - 3 + 4 + 1).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(891)*6 - ((sqrt(1331) + -4)**2 - sqrt(11)).\nAnswer: -1347 + 143*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5294.559 nanograms in milligrams?\nAnswer: 0.005294559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -741800 times -2\nAnswer: 1483600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/13)\/r*(r**(-6)*r)\/r)\/(r**2\/r)**(-1) assuming r is positive.\nAnswer: r**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 251693, 251724, 251775, 251846, 251937?\n\"Answer: 10*j**2 + j + 251682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 44*m**2. Let u(q) = -12497*q. Give u(t(f)).\nAnswer: -549868*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g - 15. Give l(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 14*g**2 - 23*g - 24. Let a be m(-13). Let h = -441 + a. Solve 2*j = -h*j + 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 2 = -3*u. Solve 2*h - q - 6 = 0, -u*h + 3*q + 7 + 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 5*c + 4. Let u be w(-6). Suppose 3*g - 13 = -5*m, -2*m - 3*g - 37 = -7*m. Suppose -u - 20 = m*r. Let k(v) = v**2 + 4*v + 1. Give k(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/936 and 25\/702?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/(2*sqrt(288)) + -2 + -1.\nAnswer: -3 + sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.9 * -312.\nAnswer: -592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 2*d**2 + 9*d - 40. Let i be m(3). Sort -3, i, 3.\nAnswer: i, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*y**4)*(6 - 3 - 1) - 8*y**4 + 4*y**4 + 13*y**4.\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 92848 and 5936.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22555223 and 3.\nAnswer: 67665669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 - 10*y + 25. Calculate q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 5*g**2 - 5*g - 2. Give n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -s**6\/120 + s**5\/15 + s**3\/2 + 25*s**2. Let c be q(4). Let r - 955*r**2 + r**c + 949*r**2 - 4*r**3 - 4*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3122.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1*(0 - -2))\/1. Suppose 0 = g*t + t + 105. Let v = t + 65. Calculate the highest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000110602527 to six dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + sqrt(1700)*-1*3)**2)*-3 - (2 + -5*(-2*sqrt(1700))**2)) + -3.\nAnswer: -30*sqrt(17) + 54395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29433553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-41)\/6 - 12\/(-36). Suppose 2*r + 46 = 2*h + 2*h, 0 = -4*r - 5*h - 53. Let t = -24 - r. Is n >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 54088795172 - -63.\nAnswer: 54088795235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22332 times 21.4?\nAnswer: -4.779048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(22) - sqrt(1408))*-6 + -4*sqrt(3168))\/(-1*sqrt(99)*-1 + sqrt(99) + (sqrt(99) - 4*(1*sqrt(99) + sqrt(99)))).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(6 + -1 - 1). Let t = m - -9. What is the remainder when 33 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4\/9 - 10*g**3\/9 + 2*g**2\/3 + 2*g.\nAnswer: 2*g*(g - 3)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7987 divided by 23139.\nAnswer: -7987\/23139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 3)*4\/(-8). Let s = 11 - p. What is the remainder when 20\/30 - 104\/(-6) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(70)\/sqrt(7))\/((sqrt(20)*5 - sqrt(20))\/sqrt(10)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -659 + 670 + (447\/(-13))\/3\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 369*w + 185*w + 158*w)*(3 - w + 0 - 1).\nAnswer: 26*w**2 - 56*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 4*p**2 - 7*p - 6. Let b be j(-5). Let i be 234 + 12\/(-16)*-4. Let k = i - 229. Calculate the highest common divisor of b and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-18) + 39\/2. Suppose -8*a - d = -9*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5556*t + 5078*t + 19702*t in the form l*t + o and give l.\nAnswer: 19224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*w**3 - 19*w**3 + 33*w**3 - 15*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22569 - 22568.8. Let v = 0.03 + -0.09. Sort h, -4, v, -0.2 in decreasing order.\nAnswer: h, v, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1018246459 to the power of 1\/3, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -9*s**2 + 4. Let f(x) = 26*x**2 - 12. What is -5*f(u) - 14*w(u)?\nAnswer: -4*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 131, 152, 117, 8, -193, -504?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w - 1. Let s = 8 - 7. Let d(j) = j**3 - 9*j**2 - 10*j + 6. Let h(t) = s*d(t) - 2*c(t). Let p be h(10). Which is greater: p or -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/760174 and -77\/9882262.\nAnswer: 9882262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -131 divided by 6\nAnswer: -131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6462773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*z**2 - 1108*z - 3268 = 0. What is z?\nAnswer: -43, -19\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -3*d - 29 + 8, 5*d - 2 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 19. Let h be 5110\/85 + n\/(-34). Let r(k) = -k**2 + 8*k - 3. Let t be r(5). What is the greatest common factor of t and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**3\/5 - 198598*a**2\/5 + 6354079*a\/5 + 6552678\/5 = 0. Calculate a.\nAnswer: -1, 33, 198566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 22121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -4*w**2. Let j(a) = -a**2. Let c(q) = -6*g(q) + 30*j(q). Let l(d) = d - 15. Let n(s) = 6. Let r(u) = -2*l(u) - 5*n(u). What is r(c(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*h + h. Suppose -3*y = f - 20, -y + 5 + h = 0. Solve 0 = f*z + 8 + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 9 = t, -2*t + 4*h - 9 = 3*h. Sort t, 1, -1\/3.\nAnswer: t, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + -0.80448341224114.\nAnswer: -1.10448341224114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/120803800 and -121\/18120570.\nAnswer: 362411400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -389*c - 427*c + 6*c**2 - 2*c**2 + 155 - 1803.\nAnswer: 4*(c - 206)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-105)\/(-42)*9\/15.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -37 in 1, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**3\/6 + 12*y. Let k(u) be the first derivative of 3*u**2\/2 - 2. Determine s(k(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13523 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + (-900)\/(75\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 415*x - 1394.\nAnswer: 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 142, 2, 5 in descending order.\nAnswer: 142, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 25342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 55 (base 7) to base 12\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 60 + 8. Suppose p = -0*u + u. What is the highest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -6, -3, -5195 in decreasing order.\nAnswer: -3, -5, -6, -5195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 j, and 1 y when four letters picked without replacement from xyaxojyyjxj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1573) - sqrt(13))**2 + (sqrt(39)\/sqrt(3))**2*-4)*-5.\nAnswer: -6245 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - -1)\/((-2)\/(-6)*3). Suppose g + 8 = -7*g. Sort -4, o, 3, g in ascending order.\nAnswer: -4, g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -92\/9  (c) 3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*v**2 - 59*g*v + 6*g + 12009*v**2 with respect to g.\nAnswer: v**2 - 59*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + (sqrt(3)*-4)**2 - ((1*sqrt(30))\/sqrt(10) - (sqrt(3) - (-3 + sqrt(75)))**2).\nAnswer: -25*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = z + 7, -5*z + z = 4*i - 4. Suppose 15 = 5*x - 4*g - 3, i*g = 3*x - 6. Factor 3\/2 + 6*n + x*n**2.\nAnswer: 3*(2*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 5*p**2 + 5*p - 2. Let w be l(4). Let q = 403\/5 + -81. Put q, w, 4\/11 in descending order.\nAnswer: w, 4\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/106274 and -40\/2709987.\nAnswer: 5419974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32949*(-5)\/(-15) - -12.\nAnswer: 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*u - 6 = 0. Let j(i) = -4*i + 1. Let y be j(-5). What is the greatest common factor of u and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 137 + 339 = 0. Suppose 8*j = 35 + w. What is the remainder when 37 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 98693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -32*h + 42241. Is c(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -8. Let s be ((-3)\/(-6))\/((-2)\/(-12)). Suppose s*j = 4 + 11. Sort -4, j, z.\nAnswer: -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22794 - 22794.60973. What is y rounded to two dps?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/132*(-708)\/177)\/(23\/5313)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11871154.\nAnswer: 2, 37, 59, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1014*s**3 + 14681*s**2 wrt s.\nAnswer: 6084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2296 - 2289. Let m(x) = x**2 - 9*x - 1. Give m(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -29, -0.3, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38\/(-247) + 366\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-12))\/(161\/(-6762))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 338 - 313. Let c be (-8)\/(-40)*r*(-23)\/2. Which is bigger: c or -59?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34046655 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/1271163 or -1?\nAnswer: -2\/1271163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -30604 (base 9) to base 7\nAnswer: -112546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19*q**5 - 2137050*q**4 + 198731055*q wrt q?\nAnswer: -380*q**3 - 25644600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhccccc. Give prob of sequence cc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -297*w**2 + 889*w**2 - 1635*w - 292*w**2 - 295*w**2.\nAnswer: 5*w*(w - 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 169 and 78?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 4*y + 10 = 0. Let x be y + (0\/(-1))\/3. Solve -2*j - a + x - 11 = 0, 0 = -5*j + 2*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -91 + 190. What is the common denominator of 54\/4 - (-4)\/(-6) and (-13)\/(-1)*w\/108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1634164000 rounded to the nearest one million?\nAnswer: 1634000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/((-6)\/(-2)) - -2. Suppose -2*s + 15 = -i. Let o = -4 + s. Solve 5*z - o = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 401*j**2 + 10*j - 11. Let w(r) = -14*r**2 + r - 1. What is 2*c(l) - 22*w(l)?\nAnswer: 1110*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/7 - (-3)\/7. Let m = 72 + -42. Calculate the remainder when -9*m\/(-9) - d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 145227249, 145227248, 145227247, 145227246, 145227245?\nAnswer: 145227244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*(p\/(p**(-1)\/p))\/p*p**(-3)*(p**15*p)**13 assuming p is positive.\nAnswer: p**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 0 + (-10143693)\/2529783.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -41\/3*u**4 - 204*u - 48\/5*u**5 + 0*u**3 + 0*u**2 + 0. What is the third derivative of k(d) wrt d?\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k**(-1\/2)\/k)\/k))**34\/(k**2*k\/(k\/(k\/(k\/(k**1*k))))) assuming k is positive.\nAnswer: k**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**2 + 1577045*z - 316 - 1577045*z.\nAnswer: -z**2 - 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - 30044313?\nAnswer: -30044313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4722 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15\/4 in -2\/3, 0.3, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*sqrt(108)*-3*-1 + -3.\nAnswer: -4 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 4*h. Let t(x) = 3*x**2 + 2*x. Let f(w) = 16*w**2 + 11*w. Let c(y) = -4*f(y) + 22*t(y). What is c(j(z))?\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 10:26 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2349 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**2 + t**2 + 2*t**2 + (2 + 2*t - 2)*(-1 + 1 + 7*t) - 2*t**2 + t - t + (0*t + 0*t + t)*(-1 - 4*t + 1) - 3 + 3 - t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10)\/(78\/1365*7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41122*m + 5*b = 41129*m + 16, -3*m + 36 = 5*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -11 - 94*x - 417*x - 47*x. Is t(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 5*l - 6. Let i be y(-7). Let j be (((-36)\/10)\/3)\/(i\/20). Put j, 0.5, 2\/7, 0 in decreasing order.\nAnswer: 0.5, 2\/7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -w**4\/4 + 2*w. Let z(q) = -18 + 1 - 12*q + 0*q. Let m(j) = -2*j - 3. Let g(k) = 34*m(k) - 6*z(k). Calculate g(r(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 625 - 629. Sort -21, -5, t in descending order.\nAnswer: t, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z - 355 - 8*z - 41*z**4 + 707 - 355 - 2*z**2 - 2*z**3 as r*z**3 + m*z**2 + i*z**4 + t*z + y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 = -3*x + 10. Suppose 56*d + 2670 = x*d. Suppose -3*i + 13380 - d = 0. What is i rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.1 + 1.2. Let s be (-2)\/5 - (-4)\/10. Let p = 37 + -35. Which is the closest to s?  (a) r  (b) -2\/7  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**2 - 204*v - 2532. Determine c(-12).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, j: 4, i: 1, u: 2, e: 2, t: 8}. Give prob of picking 1 t and 1 j.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2034\/144)\/((-1422)\/(-632)*-2*(-2)\/72)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 + 8 = -9*u. Let o be (57\/9 - 6)\/(u\/(-3)). Let d = o - -13\/210. Which is the nearest to 0.2?  (a) 0.09  (b) 2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 4, v: 1, e: 5, l: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 + -17. Put s, -5, -4 in increasing order.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 - -44. Suppose 0 = -5*v + v + s, -5*a + 76 = -v. Let u = a + 1. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, 5, 1, 1.7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24948817.\nAnswer: 61, 408997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -257 + 3a?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*b - 7*l = 58*b + 12, 0 = 2*b + 5*l + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j**3 + 2*j**2 - 6. Let x be a(2). Calculate the lowest common multiple of 22 and (189\/(-15))\/((-15)\/x).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6971 - -7655. Calculate the least common multiple of 38 and i.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 44 = -15*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*f**3 + 0*f - 2*f**4 + 2*f + 16*f**3 - 10 to t*f**2 + u + i*f**4 + a*f + x*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -4*o + 43. Suppose -2*t + 4 = -2*v, 3*v = 3*t + t - o. Let y(a) = -3*a**3 - 5*a**3 - 2*a**t. Let r(j) = -3*j**3. Determine 7*r(s) - 2*y(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 221381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6 - -152)*4 + -1. Let j = k - 627. Sort 12, 14\/9, j in ascending order.\nAnswer: 14\/9, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 321115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 11*p**3 - p**2 - p + 1. Let q be u(1). Let v be (4 + (-55)\/q)*-2. Solve -5*m = v*h + 3, -5*m + 6*h - 3*h - 27 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -242, -490, -738, -986?\n\"Answer: -248*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from ghvku.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21.8 - -22. What is the second smallest value in z, -5, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38672 and 24.\nAnswer: 116016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 7*b - 3*b. Let n = -11 + b. Let g(f) = -f**2 - 5*f + 3. What is the units digit of g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 5*u**2 + 4*u + 2. Let n be p(-4). Let c be 21\/n*(-16)\/(-12). Find the third derivative of -3*f**5 - 6*f**2 - 14 + c wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, d: 3, g: 7, o: 1, y: 3, n: 2}. Give prob of picking 1 n, 1 p, and 1 o.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x**2 + 125*x - 346. Let g be t(3). Find l such that -3\/7*l**3 - 3\/7*l**g + 12\/7*l + 12\/7 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406819331?\nAnswer: 23, 17687797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3209354, 3209355, 3209356, 3209357?\n\"Answer: v + 3209353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 344533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-79 - -45) + 6 + 3 + 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from ccwjawsnjccsaw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 20 = 6*h - 3*b, 4 = -b. Calculate the remainder when 73 is divided by 23 - (h + -1 + -3*1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7))**9 assuming b is positive.\nAnswer: b**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 5:12 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 399 less than 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 3*v = -2*p + 6, 2*p = 3*v + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(39)\/(sqrt(9)\/sqrt(3)*6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18960750209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 1:20 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -4*m + 1574 - 422, -3*m - 5*q + 864 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -3. Let l = -55 + 117. Calculate the remainder when l is divided by o\/5 - (-212)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45.4771 hours to minutes.\nAnswer: 2728.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/9 + 330\/(-27). Let g be 8 - w\/(4 + -7). Solve 9*l = g*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -5. Let r be 2\/(k\/(6\/1)). What is the second smallest value in 2, -2\/3, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) 3  (b) 1  (c) 0.2  (d) -355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 133 + -79. Suppose -r + 3*r + x = 0. Is 799\/9 - 6\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 5774?\nAnswer: -5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 14*w)*(3*w**2 + w**2 - 2*w**2).\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -275054870 + 8250868979\/30. Let n = -7261 + -18640. Let p = j - n. What is the common denominator of -46\/27 and p?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 26. Suppose m = -4*c + s, -2*c + c + m - 4 = 0. Solve 0 = -y + 5*k + 10 + 6, c = y + k + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1853 = -3*f - 4*t + 11105, -3*f - 3*t = -9252. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-180)\/840)\/(12\/(-14)). Which is the closest to f?  (a) -5  (b) 2  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-3)*(-11)\/(-6))\/((-4998)\/(-52479))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0797226 to four decimal places.\nAnswer: 0.0797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2311 is divided by 769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(6*1*sqrt(95) + sqrt(95)))\/(sqrt(1375)\/sqrt(11) - (sqrt(20) + sqrt(5))*-3).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.437 and 0.6.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1072419017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/83 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 164 = 228. Suppose 11 = -5*p + f. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + sqrt(252) + sqrt(252)*-2 + sqrt(252) + 3 + sqrt(252) + sqrt(252) + sqrt(252) + -3*2*sqrt(252) + -1 + -4)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k**3 + 6*k**2 + 4*k - 4. Let o be s(-4). Let j = o - -317. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(-1\/11)))**(1\/2)*(c**(-7\/2))**(-6) assuming c is positive.\nAnswer: c**(463\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 236 = -4*u - 14*u - 142 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 4*w = -w + 20, 5*r + 4*w + 21 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = a - 8*c + 35, -4*a - 44 = 4*c. Let b = a - -31. Is 308\/b - (-4)\/(-16) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*k - 4664*k - 76*k - 8*k**4 + 30*k**4 + 4*k**3 - 1846*k wrt k.\nAnswer: 264*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 22386, 10 in ascending order.\nAnswer: 1, 10, 22386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2337, 2338, 2339?\n\"Answer: u + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -2*d + 2, 0 = -5*y + d - 1 + 6. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 2 c, and 1 t when four letters picked without replacement from iiiiiiciticiiiitt.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**4 - 17*h**3 + 1337*h**2 - 328*h - 997?\nAnswer: -12*h**2 - 102*h + 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of h**5\/30 + h**4\/3 + 3*h**3\/2 + h**2 + 6*h. What is the tens digit of m(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.164 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + h - 38. Which is smaller: h or 25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (39 - (73 - -49)) + 102\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 586037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((0 - -15) + -2 + -15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) 3\/5  (c) 1  (d) -2  (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 135257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(16\/9)*d**17 assuming d is positive.\nAnswer: d**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*h + 18 = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*r - 255 = 473 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1245486*y**3 + 11*y**2 + 72494*y.\nAnswer: 7472916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 687 or 3442\/5?\nAnswer: 3442\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 + 8*o**2 - 2*o. Let r be p(-8). Let y be (10\/(-8))\/((-4)\/r). Solve -3*f + 15 = -3*t + f, 2*f = -y*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 54837614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.46 - 9.54. Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34640 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y + 2. Let x be v(-4). Let q(l) = -11*l + 10*l + 4 + 6. Let w be q(x). Solve -2*p = -2*r - 0*r - 14, 0 = -w*p + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - (0 - -5) - (1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -212.916 and 5.\nAnswer: -1064.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 6*d**2 + 199*d - 157. Give p(-34).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**3 - 990*p**2 + 27725*p + 240870.\nAnswer: -5*(p - 31)*(p + 7)*(p + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3093\/2960 - -3\/592. Suppose 46532 = -3*z + 5*z. Let m = z + -1023765\/44. Find the common denominator of y and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 35\/2*h**2 - 13*h + 49\/4*h**3.\nAnswer: (h + 2)*(7*h - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 121.34 + -121. Let q = 1.66 + i. What is the third biggest value in 0.4, q, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7543\/505 + 168\/101. Is 17 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -298 = -4*r - 3*j, -39 - 28 = -r + 3*j. Is 72 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*c**2 - 6 + 6 - 16*c**2 - 13*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6920, 8319, 9718, 11117?\n\"Answer: 1399*s + 5521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 228672427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18.332 + -90429772.49.\nAnswer: -90429790.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -11 + 17 + -29.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6.1 and 582.\nAnswer: 3550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8868138 and 7476.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.05713909 rounded to three dps?\nAnswer: 2.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10414 - 43330?\nAnswer: -32512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bhqdhbdkhdhhhhahab. Give prob of sequence ahka.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + 44 + (-14 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1442*g + 1440*g = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8021 or 8054?\nAnswer: 8021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/4 + (-63)\/(-28). Find the third derivative of 3*d**s - 64*d**4 + 68*d**4 - 2*d**2 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 16, 7, -20, -71, -152?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 5*r**2 + 3*r + 5. Let d be g(-5). Suppose -v = -0*v + 4. What is the units digit of d\/v*(-44)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by 64?\nAnswer: -13\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2305 from -15039.51712.\nAnswer: -12734.51712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -7*h**3\/6 + 16*h. Let s(v) = 11*v. What is g(s(y))?\nAnswer: -77*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*w + 13*n - 14 = 0, 85*w - 2 = 83*w - 3*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + k = 30 - 34 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129588607 divided by -6.\nAnswer: -129588607\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13811 - -22511. Round x to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 895571 is divided by 130.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*u**5 + 14*u**5 - 35*u**5 + 4*u**2 + 4*u**4 - u - 6*u**3 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 510055984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 863344 is divided by 3820.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 4. Let k = 2\/4903 + -4907\/9806. What is the second biggest value in k, 1\/2, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2113485563.\nAnswer: 7, 1511, 199819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7415 - -12958. Calculate the remainder when h is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*p = -4*z - 1365, 0 = -3*p + 2*z - 4123. Let n = -8147\/6 - p. Find the common denominator of n and 91\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of k**7\/7 + 14*k**6\/15 + 8*k**5\/5 + k**4\/3 - k**3 + 28*k - 2. Let v(w) = 0. What is w?\nAnswer: -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 9:36 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18157759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -41131\/461  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -64907 or -9671298\/149?\nAnswer: -9671298\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091778689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*r**4 + r**2 + 28*r?\nAnswer: -96*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*q = 177, 76 = f - q - 3*q. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2410204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 790314 + 3199?\nAnswer: 793513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4563 + 2139. Let o = d + 3500. List the prime factors of o.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -6. Let r = -0.521 - -0.021. What is the closest to -0.2 in -4, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x - 11 = -6*x - 89 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1155 and 214885.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59381, -59359, -59335, -59309?\nAnswer: -59281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4116129 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 80*a + 659. Calculate s(-9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minus 620781?\nAnswer: -620754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 1 + (-217)\/(-936). Let b = u - 1\/104. Suppose 0 + 0*v - b*v**2 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 746*m*o**3 - 34*m - 5*o**2 wrt o?\nAnswer: 4476*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 7*f - 331. Give y(47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 3*q - 4*q - 15, 13 = 3*n + q. Suppose 0 = n*u + r - 1363, -3*u + 8*u - 1703 = -2*r. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 + 1039 = -54*f - 109. Sort f, -14, 3, 0 in ascending order.\nAnswer: f, -14, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/3*0)\/(-1). Let y = j + -4. Which is the nearest to 0?  (a) y  (b) -2\/5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**5 + 410*s**4 + 10805*s**3 + 100400*s**2 + 170000*s + 80000 = 0. What is s?\nAnswer: -40, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(-40 + 40 - 7*y**5) - 3*y**5 + 5*y**5 + 0*y**5 + 4*y**5 + 0 + 0 + (-3 + 3 - 2*y)*(-2*y**4 - 3*y**4 + 6*y**4).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -52*f. Let x(i) be the second derivative of -4*i**3\/3 + 2*i. Calculate 5*u(w) - 32*x(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 77\/3 of a minute?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - -102012111?\nAnswer: 102012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74 divided by -1063.\nAnswer: 74\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 211*a**3 - 9*a**2 - 9*a - 10. Suppose 0 = -3*s + 3*x + 36, -3*s - 5*x + 10 = -s. Let w be h(s). What is w rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -65 + 65.00000109. What is v rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -158, 3710, 4 in increasing order.\nAnswer: -158, 4, 3710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 4*q + 5*u, 2*u - 3690 = -12*q - 3642. Let f = 0 + -0.5. Sort q, 1\/6, 2\/9, f in ascending order.\nAnswer: f, 1\/6, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.4098 and 0.31.\nAnswer: -0.747038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rewlkneweeww. Give prob of picking 3 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.5, 755, 0.5 in decreasing order.\nAnswer: 755, 0.5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((29*g + 17*g + 37*g)*(g**2 + 4*g - 4*g) + 2*g - 2*g**3 - 2*g)*(5*g + 5 - 5) - g**4 + 0 + 0 + (-g**3 + 2*g**3 + g**3)*(4*g - 2*g - g).\nAnswer: 406*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**4*h - 2608*b**2*h - 41939*b*h wrt b.\nAnswer: 36*b**2*h - 5216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37540 by 10.\nAnswer: 3754","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 337062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2647717837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 + 16. Let z = f + -33. Which is the closest to 2\/3?  (a) z  (b) 0.3  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*l + 4*p, -4*l - 5 = p - 48. Suppose 5*o + 0 + l = 0. Which is bigger: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5346475*g**5 + g**2 + 198696 wrt g.\nAnswer: -320788500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2145096610 to the power of 1\/2, to the nearest integer?\nAnswer: 46315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2a2 - -317?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, f: 2}. Give prob of picking 1 u and 1 f.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 29 - (9 - (-13 - -13))) + 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -8  (b) 125\/8  (c) 3  (d) -3  (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 808013739 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + 9 + -3 + (6 + -3 - 10).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79962014 is divided by 310.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 6*p**2 - 8*p + 2. Let d be y(-7). Suppose -2*b = -8, 8*b = -5*w + 4*b - d. Let c(a) = -4*a - 11. List the prime factors of c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-2)*6)\/(574\/(-861))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*l**2 + 5*l**2 + 16*l**5 + (3*l + 3*l - 4*l)*(0*l**4 + 0*l**3 - 2*l**4 + 2*l**3).\nAnswer: 12*l**5 + 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 413053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 200*x + 3767. What is the tens digit of d(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 9*x - 8.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from npnnnnnnnnnnnnnnnn. What is prob of sequence pn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*c - 4*v + 68 = 0, -5*v - 63 = -3*c. Let f(g) = g**3 - 15*g**2 - 17*g + 16. Give f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 13*x**2 - 23*x - 11. Let b be c(-11). Solve b = -7*f + 5*f + 4*q + 12, 2*f + 4*q + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*c - c**2 + 8*c + 0*c.\nAnswer: -c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -13*q**3 - q**2 - 12*q + 36. Is 18 a factor of n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -298*o - 397 = 2945 + 234 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 26 + 30. Is w at most -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 7.07798 and 41054.\nAnswer: 41061.07798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18221754773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1390 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 + 10*l. Let z be x(-10). Suppose 20 = g - 3*s, 0 = -2*g - s - z*s + 26. Calculate the lowest common multiple of 12 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 180948, 361852, 542754, 723654, 904552, 1085448, 1266342?\n\"Answer: -k**2 + 180907*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, i: 1, k: 3, s: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 275706 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/207195714 and -89\/154.\nAnswer: 1450369998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 784211343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 690263 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 406973 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1474 is divided by 236.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 4*l. Is 2 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1696 - 28750435374?\nAnswer: -28750435374.1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3 + 7754*l**2 - 2651484*l.\nAnswer: -2*l*(l - 3498)*(l - 379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of ((-21)\/(-9) - 3)*3*-165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 - (-6 + 2 + -2 + 11) - 0\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 234635 and 91015?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 6 = r - 2*i, 5*i = 3*r - 24. Calculate the smallest common multiple of 8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 388, -3, -8626 in descending order.\nAnswer: 388, 3, -3, -5, -8626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3192.07 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.446789 + 0.2.\nAnswer: -2.246789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + -1)\/1*0. Suppose 7*x - 2 - 19 = c. Solve y + 3*m = x, 3*y - 2*m = 5*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 68 = -3*j, 0*n = -3*n + 15. Let m = j - -11. Let o(f) be the second derivative of f**4\/12 + 5*f**3\/6 - 5*f**2\/2 - f. Calculate o(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*42*(1 - 13). Suppose -5*j = -12*j + k. Factor -7 - 9 - 5*h**4 - 4 - 12*h + 30*h**3 + j*h - 65*h**2.\nAnswer: -5*(h - 2)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6749 + 8.\nAnswer: 7.3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1821381 is divided by 146?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, r: 2, t: 6, q: 3}. Give prob of sequence kq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52290 and 875?\nAnswer: 1307250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**3*r*w - 3831*h**3*r + 65*h**3*w - h**2*r**2 + 3*h*r**2*w + r**2 with respect to w.\nAnswer: 2*h**3*r + 65*h**3 + 3*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 278 * -3.\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12595188\/145 + 86863. Find the common denominator of g and -6\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17527203933 - -0.08\nAnswer: -17527203932.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7629.860475 + 7619.06. Let a = 47.1999 - x. Let o = a - 58. Round o to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 47, 346, 1199, 2900, 5743, 10022?\n\"Answer: 49*g**3 - 17*g**2 + 7*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 917022080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, q: 4, j: 2, p: 4}. What is prob of picking 1 j, 2 q, and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2591103 is divided by 215922.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 126\/90 + 48\/(-60)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7309 + 1*(0 + -4 + 7). Suppose -4*z - 4*m = -45848, -g = -z + 3*m + 4170. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of h**5\/40 - h**4\/12 + h**3\/12 + 7*h + 1. Let b(f) be the first derivative of o(f). Factor b(y).\nAnswer: y*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 94*b**2*n**3 - 31445*b**2*n*t**2 - 8*b*n**2*t - 495*b*n - n**3*t**2 - 48*n wrt b.\nAnswer: 188*n**3 - 62890*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1277 + 2562 = l + 3*r + 1277, 0 = -2*l + 8*r + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -28. Suppose -2*u = -4*k - a, -4*k - u - 7 = 4. Let l(h) = 6*h**2 + 3*h. What is the remainder when l(k) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a*a**(-2)*a*a**(2\/15)*(a**0)**(-21\/5) assuming a is positive.\nAnswer: a**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p**2 + 1269*p - 199539. Determine x(347).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 747615869 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 26*i**2 + i - 98. Is p(-25) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -1256946  (c) -1\/2  (d) -2\/9  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160643094.\nAnswer: 2, 3, 26773849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 2 = b, -8 = 3*o - 7*o + b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 282109\/570 + -2476\/5. Let n = 21220898 + -9676734913\/456. Let h = u - n. Calculate the common denominator of 26\/7 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -992171 = -4*z - 3*t, -1240190 = 18*z - 23*z + t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 115 - 111. Suppose 2*o + 3*j - j = -20, 3*o + 2*j + 25 = 0. Let r = o + 10. Solve -t*q + 25 = -l + 6*l, r*q = 3*l + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -28. Suppose k - 5*k + f = 5*d, 3*k - 14 = -d. Let z(c) = -15*c**2 - 11. Let m(x) = -5*x**2 - 4. Let q(v) = -11*m(v) + 4*z(v). Calculate q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/((-616)\/(-187)))\/(2\/16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.4 in 0.1, -7, 0.5, -5, 108?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 842228922 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -424*a + 3. Is 49 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/4)\/((-110)\/1760)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from jqvwiwj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**2. Let g(m) be the third derivative of -m**6\/180 + m**3\/2 - 6*m**2. Let b(o) be the first derivative of g(o). Determine b(c(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 121 and 110?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -42 - (3 + -10 - (3 + -7 + -1))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.3*-2.42.\nAnswer: 7.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 2*n**2 - n - 139. Determine j(0).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1598.77 times 0.01?\nAnswer: 15.9877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = -31 + 319. Find the common denominator of 93\/40 and ((-104)\/i)\/(-1*4\/9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 35*d**2 + 3*d**2 + 112 + 46*d**2 + 57 - 23*d**2 wrt d?\nAnswer: 122*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 211328 and 7168.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 1. Suppose -c*g + q = -2, 2*q + 1 + 12 = -5*g. What is the remainder when 27 - (g*2 + 0) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 3*j**2 + 2*j + 4. Let r be l(0). Suppose 5*d = -4*b + 22, -5*d - 4*b - 5 = -9*b. Let s be 1\/2 + (-7)\/d. Sort -1, s, r.\nAnswer: s, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6144206772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -11493.73 to the nearest ten.\nAnswer: -11490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -4 - 4*l**2 + 5 - 9*l - l**3 + 2*l**3. Let b be x(6). Suppose 5*z + b = -16. Let y(g) = g**2 + 8*g + 7. What is y(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5635*3.\nAnswer: -16905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 34154, 33697, 32426, 29933, 25810, 19649?\n\"Answer: -68*q**3 + q**2 + 16*q + 34205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dtddtt. Give prob of sequence tt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 - 5*d + 6. Let r be w(-4). Solve -5*j + r = -0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 4:50 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/2)\/(15\/20). Suppose -2*s + 4*o = -2494, -480 = -u*s + 5*o + 2010. Suppose 12*b = 7*b + s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 4 + 24. Let a be (-1)\/(-4 + (0 - z)). Let m = 4 + a. Solve 0*f + m*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 6 - 2. Let p = k - 0. Let o(b) = -p*b + 1 - 1 + 5 + b. Give o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 3*u = -117, w - 52 = -3*w + 5*u - 2*u - 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 926\nAnswer: -370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 5 = -4*k + 5, 0 = 4*k - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4a42a9 (base 12) in base 6?\nAnswer: 41533533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18306\/8 + -2 + 63\/36. Let k = -889 + j. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -x**4\/12 - 2228*x. Let t(a) be the third derivative of -a**4\/24 + 41*a**3\/3 - 22*a**2. Give c(t(h)).\nAnswer: -h**2 + 164*h - 6724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -9048956400 rounded to the nearest 1000000?\nAnswer: -9049000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 25608110 rounded to the nearest one hundred thousand?\nAnswer: 25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {r: 3, t: 6, y: 1, n: 4, h: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2121182, 4242362, 6363542, 8484722?\n\"Answer: 2121180*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -18  (c) -0.099\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -392223753 divided by -1062937?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 330 and 1050?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (18\/15)\/((-1)\/(-60)*12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.78324 millennia in centuries?\nAnswer: 57.8324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 39*q**3 + q**2 - 40*q**3. Let s(j) = -8*j**3 + 17*j**2. Give -51*p(g) + 6*s(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 4:08 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -3*p + h - 0*h, -5*p - 22 = -2*h. Let v be p*((-9)\/(-6) + 2). What is the remainder when -1 - v - (13 + -11) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 572 or 484?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -0.1  (c) -184  (d) 1\/4  (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 8*o**3 - o**2 + o - 1. Let u(q) = 2 + q**2 + 2 - 3 - 4*q. Let j be u(4). Determine a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*b - 3*z + 30, -5237*b = -5237*b - 3*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/27*6)\/(4\/(-18)). Let y(i) = -i**3 - 1. Let v(s) = 4*s**3 - s + 8. What is u*y(a) + v(a)?\nAnswer: -2*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4411 greater than 4409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2124, -2123, -2122?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1387913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(5\/(35 - 15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 309984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 131435 times 502\nAnswer: 65980370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 0 + sqrt(108) - (4 + 0 + sqrt(3) - sqrt(3))**2*-6) + -3.\nAnswer: 6*sqrt(3) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2006 + 17012. What are the prime factors of u?\nAnswer: 2, 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, f: 1, n: 1, j: 2, x: 5, m: 6}. Give prob of sequence mfjn.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**2 - 122*t - 117*t + 447*t - 100*t - 108*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 118948930 to the nearest integer?\nAnswer: 10906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + (-5 + 5 - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -529*x**2 + 267*x**2 + 2 + 274*x**2. Let v be l(2). Calculate the greatest common divisor of v and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -13*c. Let q(w) = 55*w**2. Determine o(q(b)).\nAnswer: -715*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*p**5*y + 16641*p**3*y**2 - p + 38397*y**2 wrt p?\nAnswer: -40*p**3*y + 99846*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**7\/21 - 5*z**6\/6 + 29*z**3\/6 + z**2 + 2*z + 89. Find the second derivative of c(x) wrt x.\nAnswer: -40*x**3 - 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 2, -3, -6, 20 in ascending order.\nAnswer: -6, -3, 2, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-27)*(o*o**(-1\/14))\/o)\/(o\/(o\/(o\/o**(-3)*o)*o)*o**(8\/15)) assuming o is positive.\nAnswer: o**(-6637\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -189 - -188. Let m be (-3)\/(-1)*(a + 17\/15). Solve -2\/5 + 2\/5*t**3 + 2\/5*t**2 - m*t = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(2\/3)*p)**(-1\/23))**31*((p**(-2)\/p)**(-27))**(3\/43) assuming p is positive.\nAnswer: p**(11435\/2967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32294, 258367, 871992, 2066945, 4037002, 6975939, 11077532, 16535557?\nAnswer: 23543790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**2 + g**2 + 12*g**2 + (11*g - 10*g + 7*g)*(-3*g + 0*g + 4*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 88831874 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1252835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 359 - 10*t**3 - 138 - 221.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**3 + 53*v**2 + 92*v - 230. Determine f(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 332951 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 0 = o + 2*m, 5*o + m + 14 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9  (b) 0  (c) 0.2  (d) -0.3  (e) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 3:09 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*h - 5 + 1 + h.\nAnswer: 21*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1638159314 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 57105107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of 3*d**6\/40 - 19*d**5\/100 + 2*d**3\/5 - 19*d**2. Let t(h) = 0. Calculate h.\nAnswer: -2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -819, -822, -825, -828, -831, -834?\n\"Answer: -3*n - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 111\/11 + -10. What is the nearest to 2\/11 in t, 3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -92.2 and 1735.\nAnswer: -159967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -68\/97 in 0.2, 671, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2977 - a - 2976 + 15*a**2 + 4*a**3 - a**4 + 8938 - 2984 to the form o*a**4 + c + d*a**2 + l*a + r*a**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2783 - 1983. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 + 2*q**2 + q**2)*(-3 + 1 + 0) - q**2 + 0*q**2 + 2*q**2 - q**2 + 3*q**2 - 3*q**2 + (-12 + 2 + 2)*(8*q**2 + q - 9*q**2 - q**2).\nAnswer: 18*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -203 (base 4) in base 13?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/2)\/(b**0\/b*b))**(-1\/3)\/((b*b\/(b**2*b))**32\/(b**(-1\/3)*b)**(-5\/3)) assuming b is positive.\nAnswer: b**(559\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -102 (base 6) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s**2 - 5*s - 13. Let t(w) = -11*w**2 - 3*w - 13. Let y(n) = -2*t(n) + 3*v(n). Calculate y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1518 and -2633056.\nAnswer: -2634574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -3*t + 6. Let i(v) = -12*v + 26. Let r(x) = -6*i(x) + 26*q(x). Let b(y) = -y - 4. Give b(r(a)).\nAnswer: 6*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-6) + 6811\/21. Suppose 3*z + t = 6*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450 = 21*a - 71*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1708747733.461 - -72.\nAnswer: 1708747805.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6006 and 539.\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 389 - 24. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -17. Let z(p) = p**2 - 4*p + 3. Let l be z(4). Solve 4*h = 0, -5*d + l*d - g = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 160 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x - 2366*x**2 + 3*x - 1650*x**2.\nAnswer: -4016*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1396?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + t = -19, 2*t = -5*s + 1 + 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -6, 36, 90, -4 in decreasing order.\nAnswer: 90, 36, 32, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-19)\/57*(1 + -10). Let d(a) = 82*a + 43. What is the units digit of d(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 102 and 41083271?\nAnswer: 246499626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-3 + (-158)\/(-52)). Let q(v) = 2*v**3 - 6*v**2 + v + 12. Let r be q(4). Let u = a - r. Solve 3*h + y = -19, -y + 16 = -u*h - 0*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -73859325*w**3 - 228155734.\nAnswer: -221577975*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 120 - 116. Suppose -4*t + 2*w = -8*t + 12, 9 = 3*t - u*w. What is the second derivative of 3*i**3 - 12*i**t - 162*i + 122*i wrt i?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 6589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 28*c**2 - 210*c - 217. Determine y(-34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 77*q**2 + 3081*q - 255875. Calculate b(79).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/8 + 1\/(-4). Let v(r) = 47*r**2 + 1. What is the remainder when v(l) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-24)*-1)\/(-18*(-5)\/(-400))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100200 (base 3) to base 9.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1469.47218 to one decimal place.\nAnswer: 1469.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*y + 9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*d**2 + d + 2 - d**2 - 4*d**2 - 2*d as n*d + o*d**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -57418, -57419, -57420, -57421, -57422?\n\"Answer: -w - 57417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 25. Suppose 12 = 7*t - 58. Calculate the smallest common multiple of (-16)\/(-3) + (-10)\/r and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**4\/12 + q**3 - 9*q**2\/2 - 33*q. What is the remainder when 22 is divided by k(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130372 * 1\nAnswer: 130372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(-2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, f: 7, g: 4}. What is prob of sequence fg?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + i**3 + 8 + 0*i**2 + 2 - i**2 in the form l*i**3 + b*i**2 + y + c*i and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 11 = 4. Let o = -26 - -28. Find the second derivative of n + 3*n**5 + n**5 - o*n**c - 5*n wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/1175 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 28\/21*(44\/16 - -1). Let k = 1 + -1. Solve k = -o*x + 32 - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 3\/2*k**2 - 15\/16*k**4 - 18*k + 15\/2*k**3 + 1\/8*k**6 - 9\/10*k**5 - 52. Find o such that v(o) = 0.\nAnswer: -2, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 2:09 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6*4\/6 + 130*(-15)\/475\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**8\/m**(1\/10))\/(m**(-7)\/(m**(-1\/9)*m)))\/((m\/(m**4\/m*m))\/(m\/m**(-1\/2))*(m\/((m\/m**(-1))\/m))**(-22)) assuming m is positive.\nAnswer: m**(913\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151*p**2 + 673 - 226 - 221 - 226.\nAnswer: 151*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 21 = -25*l + 35. What is the nearest to 5\/7 in 5, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 3*d + 104 = 0. Suppose 5*s - 8 = -y, y = -0*y + 3*s. Let i = y - d. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-2 - (7 - 15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/53 and -57\/1358.\nAnswer: 71974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.79789963 to four dps.\nAnswer: -0.7979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 22493\/4 smaller than 163.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -8 + 1)*(2 - 3). Sort p, -5, -2, -8 in decreasing order.\nAnswer: p, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w + 17*w = 12. Let z(x) = -7*x + 5*x + 7*x + 7 + 22*x**2 + 2*x. Let y(m) = -7*m**2 - 2*m - 2. Determine w*z(q) - 7*y(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 431*k*w**4 - 335*k*w**2 - 1981*w**5 + w**2 + 3*w - 767 wrt w?\nAnswer: 10344*k*w - 118860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x + 2085 + 5*x + x - 2083.\nAnswer: 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19060875 or 19060869?\nAnswer: 19060875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -32 - -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 315478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 475, 951, 1427, 1903, 2379?\n\"Answer: 476*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from atafffijjfj. Give prob of picking 1 j and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1216))**2*-4.\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 29*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-64)\/8)\/(-120)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -v + 1. Let g = v - -5. Solve 14 = -5*l + g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-34))\/(o\/(o*o**(-12\/5))))\/(o**(-9)*o**(3\/11)) assuming o is positive.\nAnswer: o**(-1467\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72963102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 6. Let d(h) = 2*h + 13. Let c(u) = 6*d(u) - 13*i(u). Let m(n) = 6*n**2 + 4*n**2 - 4*n**2 - 4*n**2. Give m(c(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 5*j**2 - 180*j + 1896. Let c be h(15). Solve c*o = 340*o - 76 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3*x = 0. Let v be 0 + -1*(x - 3). Let b(u) = u**3 + 3*u + 1 - 2*u + 2*u + v*u**2. Calculate b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.23615 kilograms?\nAnswer: 236150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 6) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -266, -212, -132, -26?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -1\/5, 0, -37, -2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -476.3\nAnswer: 2381.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y - 25. Determine c(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000784597 rounded to 7 decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 16*v**3 + 406*v**2 + 131*v - 82. Determine l(-25).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -v**4\/8 - v**3\/6 - v**2. Let c be n(-1). Factor 2*i - 1\/2*i**2 - c.\nAnswer: -(i - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzddtvttvztttttvzv. What is prob of sequence dv?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9092 - 4544 - 55*y + 62*y - 4548.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -64. Suppose -4*p + 47 = 11. Calculate the highest common divisor of p and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 113*y**2 - 113*y**2 - 880*y + 1006*y**5 - 1528*y**5 + 4622*y**5 wrt y.\nAnswer: 82000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17110 and 1298.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 223*v**3 - 2*v**2 + 12*v + 2. What is the units digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 262, 260, 258, 256, 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-182)\/6)\/(13\/78). Let u = -193 - n. Let r(v) = v**2 - 5*v - 4. Let h(x) = -2*x**2 + 9*x + 7. What is u*r(j) - 6*h(j)?\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1596*f**6 + 725*f**4 - 10*f**3 + 718120*f**2 - 13 wrt f.\nAnswer: 191520*f**3 + 17400*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 639 and 1065?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 536, 1117, 1682, 2231?\nAnswer: 2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, -11\/7, -4\/15 in decreasing order.\nAnswer: -0.01, -4\/15, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 33*v**2 + 207*v + 3. Determine j(38).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -2) + -4 + (-24 + 9 - -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*d + 447*d + 760*d + 274*d - 212*d.\nAnswer: 1186*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2974278445.\nAnswer: 5, 631, 942719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - a = -77, -64*q + 5*a = -66*q + 21. Solve -q*m + 10*m - 90 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**5 - 2046*g**4 + 395649*g**3 + 401772*g**2 - 795372*g = 0 for g.\nAnswer: -839, -2, 0, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - 57\/6)*-2. Let v = n - 14. Let j be (-772)\/(-10) - (-1)\/(-5). What is the highest common factor of j and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/264432 and -145\/10776.\nAnswer: 118729968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**2 + 2*m + 60. Let k(n) = 3 + 1 - 2 - 4*n + 2*n. Determine 5*b(y) - 4*k(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, e: 2, z: 1}. Give prob of picking 2 p and 1 e.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1621 + 2851. Suppose -5*a + q = -0*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-3\/10)*(b\/((b**(-5\/3)*b)\/b)*b)\/b*b assuming b is positive.\nAnswer: b**(101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 + 12 = -8*n. Suppose 2*z = n*z - 22. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -0.5, -0.3, -228, 0.09, -10, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(4\/1) + (-44)\/(-56)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = g + 2*g - 44, -3*b = -4*g - 8. Let m(z) = 3*z**2 - 19*z - 6. Let o be m(b). What is the greatest common factor of o and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1652b (base 12) in base 6?\nAnswer: -403255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*r = -45*r - 7*r - 99 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 19, 50, 109, 208, 359, 574, 865?\n\"Answer: 2*c**3 + 2*c**2 + 11*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 7*h - 3. Let f(b) = -112*b + 49. Let o(s) = 2*s**3 + 2*s**2 - 2*s + 1. Let r be o(1). Let j(l) = r*f(l) + 49*i(l). Let c(p) = -3*p. Give c(j(q)).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65 + 116 - 1 - 2069*o**2 - 2*o**3.\nAnswer: -2*o**3 - 2069*o**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c = -5995 + 1731. What is the remainder when c is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00025401 to six dps.\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 17*c**3 - c**2 - 10*c + 25. Let w be h(4). Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 5*m. Let v be j(12). Let u be (1 + -5)*(-3 + v\/24). Let n(z) = -2 - z**2 + z + 0*z**2 + 0 + z**3. Determine n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104129493.\nAnswer: 3, 13, 2669987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k = 23*k - 153. Suppose -147 = -2*t - k. Which is the third biggest value?  (a) -0.3  (b) 5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101523411 divided by -33\nAnswer: 3076467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 4  (b) 0.4  (c) -17.5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -108, -248, -454, -732?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4006 (base 10) to base 16\nAnswer: -fa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**5\/15 + 17*d**4\/12 - 3*d**3 + 51*d**2. Find i, given that h(i) = 0.\nAnswer: -9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 5 = 4*q. Solve -q*z - 16 = -6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/9  (b) -25  (c) 2  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1260263s to milliseconds.\nAnswer: 126.0263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*r + 25*r = -1617 - 1647 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 2*c + 2. Let n(d) = d**2 - 3*d - 3. Let u(b) = 3*k(b) + 2*n(b). Let x(v) = -10*v**2. Give x(u(t)).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -49?  (a) -0.5  (b) -16  (c) 0.6  (d) -21  (e) -3  (f) 4\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 3*h + 5*n, 9 = 3*h + n + 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 40 = -5*x, -3*o = -7*o + 3*x - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5*u + 4 = 0, -5*m + 3 = -5*u - 7. Let y = 160 - 121. Calculate the greatest common factor of y and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4*b = -3*i, -5*i = 3*b - 16. Suppose 17 = -30*z - 73. Put i, z, -5 in decreasing order.\nAnswer: i, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -19412*g + 2897. What is the hundreds digit of x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-436)\/12*6*3\/(-6).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3277796, -6555591, -9833384, -13111175, -16388964, -19666751?\n\"Answer: u**2 - 3277798*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 124281 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 141991?\nAnswer: 141991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 473 = -4045. Calculate the remainder when c is divided by 157.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -94*a**2 - 9*a + 2. Let q be d(-4). Let o = q - -532. Let x = o - -2033. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a**3 + 7*a**2 + 6*a - 4. Let c be k(4). Suppose c*q - 4*q = -7*q. Solve 0 = -5*l - q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1877 + 1869. Put -5, -1, -4\/9, y in ascending order.\nAnswer: y, -5, -1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h**3 + 4*h**2 + 32*h**3 - 2*h - 22*h**3.\nAnswer: -7*h**3 + 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -62 + 64. Let o be (-2 + 1 + 1)\/2. Let f be (-46)\/(-6) + 4\/12. Solve -f = -q*z - o*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f + 3*m + 4 - 14, 0 = -4*f - m - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = -b - 13*q, -42*b - 33 = -45*b - 3*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/3*-2*3. Let k(p) = -p**2 + 9*p + 3. Let y be k(9). Differentiate d + 0 - y - 2 + 3*i wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4664995?\nAnswer: 5, 932999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23237533, -23237532, -23237531?\nAnswer: -23237530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + d = -216. Suppose -9*t = -5*t - d. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 26*a**2 - 49*a + 104. What is the thousands digit of j(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8 - -5)*8\/6. Let o(q) = q**3 + 4*q**2 - 5*q - 10. What is o(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 385586507*x - 178553254?\nAnswer: 385586507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45155 (base 7) to base 8.\nAnswer: -26220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(2\/5)*b)\/b*b)**40\/(b**3\/((b*b**(-2\/19)*b*b)\/b*b*b)))\/((b**0)**(-40)*(b**1)**(-49)) assuming b is positive.\nAnswer: b**(2012\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5*36*(-4)\/(-40). What is the second derivative of -u + 1120*p**3 - p + 121*p**4 - 1120*p**3 wrt p?\nAnswer: 1452*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of -2*f**5\/45 + 373*f**4\/2 - 278258*f**3 + 155685351*f**2 + 9487. Let o(q) = 0. What is q?\nAnswer: 0, 1119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10395 divided by 1148?\nAnswer: -1485\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u - 1. Let t(z) = -20*z + 6. What is 2*t(p) + 11*x(p)?\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (27\/(-12))\/((-1)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 147 - -4e?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.98 - -2.48. What is the nearest to -10 in -2\/11, g, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, 6, -205, 8, 4 in descending order.\nAnswer: 8, 6, 4, 3, 0, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 268861806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -74.947 - 0.053. Let g = w + 78. Which is the closest to -1\/4?  (a) g  (b) 5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.18588488 and -1.1.\nAnswer: 0.204473368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1704941419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 196222992*i*m**3 - 5*i*m**2 - 92*m**2 - 34130*m wrt m.\nAnswer: 1177337952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (11 + -6)) + (0 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 - (-4)\/2 - -13. Let l = 22 - x. Let h(o) = o**3 - 10*o**2 + 6. Does 3 divide h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13710472 to the power of 1\/2, to the nearest integer?\nAnswer: 3703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*v = 71*v + 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -59.68 to 0 dps.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17860282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 10*q**2 + q + 4. Let g(u) = -29*u**2 - 2*u - 12. Let k(p) = -3*g(p) - 8*o(p). What are the prime factors of k(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -6*c**2 + 5*c**2 + 0*c + 16 - 13*c + 0*c**2. Let t be u(-14). Solve 4 = r - 3*r + t*d, -16 = 5*r + d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 1.73, 3, -1132, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 4*s = 8, 4*q - 5*s = -4 + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 17*r - 95. Let p be v(6). Which is the closest to 0.2?  (a) p  (b) -3\/5  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-25)*(-4 + 5 - (-58)\/(-57))\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3302192.1 - -9366\nAnswer: 3311558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**2 - 2*h + 4. Let c be b(11). Let i = c + 442. List the prime factors of i.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (-17 + 5 + -19) - (-8 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.99 - -0.01. Let y = -0.12 - 0.12. Let r = 0.06 - y. What is the closest to l in -5, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 19057, 19055, 19157, 19417, 19889, 20627, 21685?\n\"Answer: 9*i**3 - 2*i**2 - 59*i + 19109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(825) + (sqrt(825)*2 - sqrt(825)))*5*-1)\/(-6*sqrt(55)\/(sqrt(5)*-1)*-1))**2.\nAnswer: 625\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 514.39032 - 3.12132. Let c = 511 - t. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 54 + 1701 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {x: 1, c: 1, p: 2, a: 1, y: 2, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -80 divided by -14?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22151 - -0.5.\nAnswer: -22150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3 and -17\/74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, z: 2, u: 2}. Give prob of sequence uzu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 763*0.1\nAnswer: 76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2774411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 52057 and 0.6446.\nAnswer: 33555.9422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, j: 1, o: 4, k: 4, p: 2, r: 5}. What is prob of sequence prkr?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 224 + 255. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-26 - 2723\/(-98)).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(847) + -3 - (-4 + sqrt(847) + -1) - 2*(sqrt(847) + -1)*5)**2 - (1*sqrt(847) + sqrt(847) + 5 - (sqrt(847) - (2*sqrt(847) + -3)))*-5.\nAnswer: -2695*sqrt(7) + 84879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40)\/12*(-10 + 115\/25). Solve m*l - 12 = 21*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 767785578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 3*f + 21. Let y = f + 7. Let d be 5\/(-3) - 4\/(-6). Is d > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56001, -224104, -504295, -896580, -1400965, -2017456, -2746059?\nAnswer: -3586780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 7, l: 12}. What is prob of picking 1 l and 3 g?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by -1 - (-70)\/(-1)*((-64)\/(-20))\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 7:05 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1300571 take away 5.590416?\nAnswer: 1300565.409584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 2 - 3 = 5*c, 0 = -2*c - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -100011110111101011011101 (base 2) to base 16\nAnswer: -8f7add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4987627 weeks in nanoseconds?\nAnswer: 301651680960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/3 and -1257 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2)*(0 + 0 + q)*(46*q**2 + 3*q**2 - 14*q**2).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and 4007.\nAnswer: 4006.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/6*(-574)\/(-2). What are the prime factors of 2 + -1 + t + 6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h**3 + 24*h**2 - 24. Let u(c) be the second derivative of -5\/12*c**4 + 10*c - 1\/20*c**5 - 3 + 5\/2*c**2 + 0*c**3. Give 24*u(n) + 5*x(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/3 in 2, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*u**6 + 2571*u**3 - 9565*u**2.\nAnswer: -360*u**3 + 15426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3 - 272*w**2 - 4032*w + 20736.\nAnswer: -4*(w - 4)*(w + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 35098?\nAnswer: 1\/35098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**12*q)\/q*q**(2\/7))\/(q\/(q\/((q**(-2\/9)\/q)\/q*q*q)))**43)**41 assuming q is positive.\nAnswer: q**(56416\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -771 - -6091\/8. Suppose 4*n + 3758 = -2*m - 13230, -4*m = -n + 33967. Let h = -51073\/6 - m. What is the common denominator of h and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w - 9. Let y = 40 + -26. Suppose -y = -3*i + i. Determine n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 a, and 2 f when four letters picked without replacement from {k: 4, a: 8, f: 3, c: 2}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77128305, -77128304, -77128303, -77128302, -77128301?\nAnswer: -77128300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 122 and -26.2193?\nAnswer: -3198.7546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 414, 825, 1230, 1629?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 886086\/18830 - (-2)\/(-35). Solve r*s + 216 = -25*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12120 - -12125. Let z = -8 - -11. Suppose -z*i = -w*i + 3922. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/4 and 71\/35406272.\nAnswer: 35406272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 6*r - 9)*(-1 - 1 + 0) + r + 3 - 3 + 3*r + 2*r - 3*r + (8 - 8 - 4*r)*(-1 + 1 + 1).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 4. Let l be (g\/(-1))\/1 - -2. Suppose 0 = -3*o + 2*y + y + 165, 0 = -l*o - 2*y + 110. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15\/10*(29 - -1). Suppose -2*s + 11 - 5 = 0. Suppose f - s*f + 36 = 0. What is the highest common factor of f and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.2*-0.064\nAnswer: -0.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r + 5. Let n be p(0). Let t be 2 + 4\/2 + 0. Suppose 0 = -2*h - 0*h - 5*b + 25, 2*b - 26 = -t*h. What is the greatest common factor of h and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 4429?\nAnswer: -4\/4429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 8*k + 10*k)*(-3 + 0 + 1) + 3*k - 4*k + 4*k.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 3*l + 3*l)*(-2389*l**2 - 784*l**2 + 745*l**2).\nAnswer: -2428*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-115)\/6 + (-92)\/(-552)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 - -0.2. Let x = 14 + 16. Let d be 7\/(-28) - x\/8. What is the closest to -0.1 in d, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -13. Suppose w*q = -2*b - 74, 0 = -5*q + 2*b - 4*b - 91. Let f = q + 22. Solve 4*n + 16 = 4*u, 5 - 19 = -3*u + f*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8b8 - -1?\nAnswer: 8b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 18, -28629, -3, 33, 3 in descending order.\nAnswer: 33, 18, 5, 3, -3, -4, -28629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1098 and 481800.\nAnswer: 480702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2402590?\nAnswer: 2, 5, 240259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of -l**3\/6 - l**2\/2 - 26*l. Let m(c) = -c**2 - 5*c - 2. Calculate m(g) - 6*y(g).\nAnswer: -g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1245494 and -1.\nAnswer: 1245493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of b**4\/6 - 2*b**2. Let k(u) = u. Calculate k(f(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 3*g + 3, 0 = -2*k - g + 4*g + 15. Suppose 0 = -f - 2*j + 1, 3*f + j - 16 = 2. Let o = f - k. Solve -o*u = 3*z + 29, 2*z = u + 5*z + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 1, 5, -2, 0, 4\/17, -34 in ascending order.\nAnswer: -34, -2, 0, 4\/17, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30020102 - 141?\nAnswer: 30015521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*w - 7*w - 33 + 29*w + 48*w + 9*w wrt w?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2721*i + 53065. Calculate m(-19).\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n. Let u(x) = -13*x**2 - x. Calculate i(u(s)).\nAnswer: 39*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 - 7 = -13*n - 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -5 + 3*r**2 + r + 3*r**2 + 0*r**2 + r**2 - 6*r**2. Determine a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 19942545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*1*sqrt(68))\/(sqrt(12)\/sqrt(48)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 281031, 281094, 281199, 281346, 281535, 281766?\n\"Answer: 21*c**2 + 281010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*(-3)\/27)\/2*(-24)\/92.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, h: 3}. What is prob of sequence hyh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -130003381052.000000667 + 130003381614. Let v = -562 + s. Round v to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and -44896580675341.\nAnswer: -44896580675341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 107*u**2 + 240*u + 940. List the prime factors of d(110).\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -422.639 - -399.38. Let i = 23.1 + l. Let b = i - 0.041. Is b less than or equal to -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*v, -4*v - 1 = 3*s + 3. Suppose -8*m + 4*k + 37 = -3*m, k - v = 0. Solve 13*n = m*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.06 + -0.94. Let p = -0.91 - a. Let h = p + -5.09. What is the second biggest value in 1, h, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -1221313?\nAnswer: 1221312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 677281 (base 9) to base 12.\nAnswer: 176847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2080142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - ((-13 - -5) + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 155 and 2815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*l - 8*l - 7*l + 33*l - 14*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 5*h**2 + 250*h + 3125 = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -10, -41, -94, -175, -290, -445?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 1311 = -5*t, 4*o - 422 = 5*t + 1321. Calculate the highest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + j + 1838 = 0, -5*j = -3*o + 6283 - 779. Calculate the remainder when o is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - h**2 + 9*h**2 + 0*h**2 + 0*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-47)\/(-34) - (-19 + (-6741)\/(-357)). Let t = -44\/9 - -50\/9. Which is the nearest to t?  (a) l  (b) 4\/7  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 292 - 283 - (1 + 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 327637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-5040)\/(-56)*(-2)\/(-8)*-2*204\/85\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6542*f**2 - 596*f + 17542146 wrt f?\nAnswer: 13084*f - 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/56 and -57\/9317.\nAnswer: 74536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by (-23)\/(-23) - (1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -53\/5, -0.0296, 0.2, 3.69 in descending order.\nAnswer: 3.69, 0.2, -0.0296, -4, -53\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.3 and -2.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-4)*(0 + -1). Find the third derivative of l*b**4 + 5*b**4 - 20*b**2 + 22*b**4 wrt b.\nAnswer: 696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 4:51 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 1676716 and 1676718 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21\/5 + -152\/35. Which is the closest to 1\/2?  (a) -4  (b) g  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q + 2*q - 6 - q**3 + 5*q**2 + q. Suppose -14 = 4*z - 38. Calculate the remainder when 10 is divided by k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 27*z - 2. What is the hundreds digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 874 - -6369.9065.\nAnswer: 7243.9065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 + -32. Calculate the smallest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**4 + 0*c**4 - 8*c**4 + (-4 + 0 + 1)*(-71*c**4 + 4*c**4 + 0*c**4).\nAnswer: 197*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/10 and 27\/1682?\nAnswer: 8410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -73056318*q**3 + 78057675*q.\nAnswer: -438337908*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 26325027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/20528 and -57\/196.\nAnswer: 1005872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, c: 2, g: 3}. Give prob of sequence iic.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29780212.\nAnswer: 2, 7, 11, 31, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 155 by -82.\nAnswer: -155\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -87?  (a) -61\/11  (b) 1  (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of v**6\/120 - v**4\/24 - 2*v**2. Let n(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4194*a + 7410 + 18833 = -3980*a + 7839 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 5*r - 6, -2*r + 2 = 4902*s - 4903*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 8:48 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-358)\/15 + (-482)\/3615.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - (-1 - 0)*10. Let x = 191 + -78. Let l = -102 + x. Is l at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u + 1, -5*o - u + 119 = 133 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.06894 + 31.91606. Let v = n + -32. Let c = 0.065 + v. Is c smaller than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 81662 and 0.2.\nAnswer: 16332.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 145.27  (c) -0.3  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69967\/5 - -13994. Sort 15\/4, 0.06, n, -1\/5, 1\/3 in descending order.\nAnswer: 15\/4, n, 1\/3, 0.06, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0973 - -0.1373. Put r, 8, 1\/4 in decreasing order.\nAnswer: 8, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5*c**2 - 286*c + 246. Calculate the remainder when r(-12) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39302 equal to 39341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 5*g + 24. Let w = -207 - -303. Let h = -62 + w. Calculate the remainder when h is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, z: 3, j: 4, r: 5, c: 1}. What is prob of sequence tj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n**3 + 13*n**2 - 4*n - 30. Calculate the smallest common multiple of 410 and h(-6).\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11301 + 16205. List the prime factors of h.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-20)\/(-8))\/((15\/(-105))\/(10\/175)))\/52?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35120572?\nAnswer: 2, 17, 239, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 818994 is divided by 38996.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 8*r**2 + r - 7. Suppose 5*d = -15 + 55. Let b be y(d). Let z(n) = -3*n + 8*n - b + n**2 - 3. What is z(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -956*t + 404*t + 164*t - 3 - 2*t + 3 + (3*t + 3*t - 4*t)*(-1 + 1 - 2) + 5*t - 5*t - t.\nAnswer: -395*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + 15*m**2 - 208*m + 43. What is y(-24)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.97 - 13569770?\nAnswer: -13569738.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*g + 148*g + 45*g = -322 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -5. Let p(z) = -z**2 - 15*z - 24. Let h be p(-13). Suppose 2*u = -u + 24. Solve -2*q - h - u = c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 7 + 1 = 0. Suppose 2*m = 5*h + 22, -m - 10 = 3*h + 1. Let k(t) = -t**2 + 7*t - 1. Let w be k(6). Put y, h, w in descending order.\nAnswer: w, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - (12 - 69) - 34) + (-1 - -7) - 103\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m + 3. Let p be d(8). Let j(i) = -6*i**2 - 7 - i**3 + 2 - 7*i - 1. What is the units digit of j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 6*s - 11. Let n(a) = -2*a**2 - 11*a - 23. Let g(f) = 2*n(f) - 5*o(f). What is the units digit of g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 9*k - 11. Let a(f) = -7*f + 10. Determine -5*a(t) - 4*u(t).\nAnswer: -t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 26 = -2. Let i = y + -7. Let b = 4727\/1050 + -1\/525. Is b smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -2*i + 10, -6*i + 7*i - 29 = 5*q. Let t(b) = 21*b**3 - 33*b**2 + 12*b. Let z(m) = m**2 - m. Let d(v) = q*z(v) - t(v). Factor d(y).\nAnswer: -3*y*(y - 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**5\/9 - 1610*h**4\/9 + 6506*h**3\/9 + 27458*h**2\/9 - 12968*h\/3 - 6472 = 0. What is h?\nAnswer: -809, -3, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 7:40 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -111\/2018825 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 + -45355?\nAnswer: -45345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 740986 (base 11) to base 10.\nAnswer: 1187104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of k**5\/20 + k**4\/6 - k**3\/2 + 2*k. Let s be u(-3). Put 1, s, 2 in decreasing order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 164*y**3 - y. Let z be m(1). Suppose -4*g = -5*b + 293, 4*b = b - 4*g + z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14102 and 444854?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -108110, -216227, -324344, -432461, -540578?\nAnswer: -648695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -7*l**2 - 7*l - 13. Let p be r(-4). Let t(s) = 21*s**2 + s. Let m be t(3). Let q = p + m. What is the greatest common divisor of 38 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1004341 (base 6) in base 14?\nAnswer: 1351b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 560 and 38000?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = v + 166, -2*o + 5*v - 5 - 56 = 0. Let g be (1\/(-4))\/(o\/12 + 2). Which is the closest to 0?  (a) 2  (b) -3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/35  (b) -17.311  (c) 0.4  (d) -4  (e) 14  (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iggkgggigggigggiikgg. What is prob of sequence igii?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, c: 8, m: 3}. What is prob of picking 3 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of 0*s + 0 + 7*s**2 + 0*s**3 + 1\/3*s**4 + 0*s**5 - 3\/40*s**6. Find the second derivative of t(x) wrt x.\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-6)*(-15)\/(-50)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -11, -2, -1 in descending order.\nAnswer: -1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from eeeeeeeeeeseeeeeee.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/72 and -73\/2340?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrrrrtrrrrrrrrtr. What is prob of sequence tr?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 11988.44.\nAnswer: -47953.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1212e - 18?\nAnswer: -12146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 72698.29ml in litres?\nAnswer: 72.69829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-1)*(-7 - -3) + 469. Suppose -468*l + 102 = -c*l. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 159, 4082, -12 in ascending order.\nAnswer: -12, 159, 4082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -73*u - 13. Let x(j) = -j**3 - 7*j**2 - 12*j + 5. Let z be x(-4). Let i be -6*(-4)\/(-10) - (-2)\/z. List the prime factors of a(i).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 1:17 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/6)\/(7\/147). Is -1 + (d - (-4 + 3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/2)\/((-15)\/25). Let n be 0\/((-6)\/(8 - 2)). Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 194 - 116. Suppose -r = -d + c, 4*d + 0*c - 312 = 3*c. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -16753*n - 368576. Determine o(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 4:46 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*f - 13 + 4 - 11 - 50 + 70.\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(1331)*-1*6.\nAnswer: -330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 657 and 54.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 237.07 + -236. Let m = -0.47 + l. Let h = m - 0.5. Which is the smallest value?  (a) 1  (b) h  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - -3)*2\/4. Let w be 276 - (-4)\/8*x. Let f be w\/(-66) + (-2)\/(-11). Sort f, -5, 3.\nAnswer: -5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyu when four letters picked without replacement from {u: 3, h: 2, y: 5, b: 1, j: 1, d: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of c**6\/12 - 3*c**5\/5 + c**4 + c**3 - 9*c**2\/4 - 78. Suppose m(f) = 0. What is f?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.45 + 0.15. Let f = o - -4.4. Suppose 0 = 5*s - 3*s + 10. Put s, f, 4 in ascending order.\nAnswer: s, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 787997*w**4 + 4023491 wrt w.\nAnswer: 3151988*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 16 = 2*v, 0*v + 4*v - 3*p + 1 = 0. Suppose 0*y = -y + j, -j - v = -2*y. Let c = 1 + 2. Solve -c*z + 10 = -y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/5 + 39\/(-18). Let g = -12 - -15. Put g, 2, b in decreasing order.\nAnswer: g, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 7:19 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 11. Let t(n) = n. Let z(g) = 5*t(g) + u(g). Let c be z(-8). Let b = c - -24. Solve 0 = -b*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x + 13. What is the remainder when 86 is divided by s(16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30752273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2488678261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + c - 2. Let u be r(2). Let t be ((-3)\/2)\/(1\/2 + -1). Suppose 3*q = 3*a - 3, 3*q - t*a + 8 = a. Solve -q*f = u + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2423 + -2424. Let b(k) = 2*k - 1. What is b(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 51225  (b) 16.3  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 6 and 46 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3464?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4218\/869 + -168\/79. Let j = m + -232\/77. Let n = 0.13 - -0.07. What is the nearest to 1\/4 in -0.3, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 953 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.1 in 25\/17, -0.2, 3?\nAnswer: 25\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1511 - 1511. Which is greater: z or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - z**2 - 24*z - 9. Let t be f(-4). Suppose q + t*s = 4*s + 24, -27 = -2*q + s. Solve -2*x + q - 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2967)\/301*(-24)\/552\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14283?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/244992 and -155\/520608.\nAnswer: 4164864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 2:38 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*m - 0*m - 329. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 65113, 65053, 64993, 64933, 64873, 64813?\n\"Answer: -60*a + 65173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 27?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (42\/(-792))\/((-1204)\/(-3096))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 228248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + b - 14.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2267.9 + 2127. Let r = 141 + k. Which is the smallest value?  (a) 14  (b) 2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -41, -42, -45?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -12. Suppose 4*v - 4*y - 20 = 0, v = -9*y + 13*y + 20. Suppose v = -j*o - 12 - 3. Let m(p) = -p**3 - p**2 + 3*p + 4. Give m(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 16, 43, 84, 139, 208, 291?\n\"Answer: 7*q**2 + 6*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/216 and (-150)\/(-1700)*(-402)\/(-486).\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 27*b + 24. Calculate r(-18).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1031150\/33 + 31247. Suppose 0 = 3*a - 5*h - 3, 5*a - 5 = -0*h - 2*h. Let k be a\/(1 - 18\/4). Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3522 and 3.\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 64*w**2 + w - 14*w - 74*w**2 wrt w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27 by 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (108\/10488)\/(3114\/(-19722))?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -4*w - 18. Let x be q(-4). Let d(y) be the first derivative of 3*y + y**2 + 1 + 2\/3*y**3. Give d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 421 divided by -2.\nAnswer: -421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18129200 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1380 - -1369 - (-30 + (-1 - -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ouyyrhyhrrh. Give prob of sequence uyu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-5)\/v*(v\/(v**(-2\/5)*v)*v*v*v)\/v)\/(v**(12\/7)*v**(1\/14)) assuming v is positive.\nAnswer: v**(-377\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 8)*(4 + 1 + 0)*(6*p - 2*p - 2*p + 3*p - p + 0*p + (2*p - 3*p - p)*(-1 - 1 + 3) - 3*p + 2*p + 0*p - 144*p + 13*p - 31*p).\nAnswer: -3220*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 485 and 10.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*s = b + 33, 5*s = -5*b - 35. Let n be (-100)\/(-45) + b\/9. Suppose 3*t - n*r - 16 = 0, 2*t + r - 13 = -0*r. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 229836838, 229836834, 229836830, 229836826, 229836822, 229836818?\nAnswer: 229836814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3*i = 0. Suppose -2*j + 5*j - 24 = i. Solve 0 = -3*g + 5*o - 19, -j = -4*g - o + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1502056615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -12*c**2 - 5*c - 6. Let v be s(-1). Let h(d) = d**3 + 12*d**2 - 15*d - 31. Let t be h(v). Let b(l) = -l**2 - 2*l + 7. What is b(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318873187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -4*d + 313. Let f be k(0). Suppose 4*l - z - f = 0, 5*l + 161 = 7*l - 5*z. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -210 + -30?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from itlltlrttrrltirrtr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -42637556809961 - -0.1?\nAnswer: -42637556809960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3818 is divided by 147.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 0.2927.\nAnswer: -0.6927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1*(-1*sqrt(200) + 1).\nAnswer: -10*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.7 + -0.7. Let p = h - 4. Suppose -2*f = -2*i + 4, -f + i = 3*f + 8. Which is the second biggest value?  (a) p  (b) f  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from furdw. What is prob of picking 1 w and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 + 21 = -8*w. Suppose -9*t - 7 - 20 = 0. Put 13, t, -4, w in decreasing order.\nAnswer: 13, t, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -56 - 3\/4*(-2 + 126\/(-27)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141*m + 5156673 = 7706940 + 5755620. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*3*((-2 + ((sqrt(325) + sqrt(325) + -2*sqrt(325) + sqrt(325))*-3 - (sqrt(325) + sqrt(325)*1 + sqrt(325) + 3)))*-1)**2.\nAnswer: 2700*sqrt(13) + 105525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 7. Let q be 10\/8 - y\/(-4). Find the third derivative of -q*x**2 + 4*x**2 + 0*x**2 - 2*x**6 + x**2 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 + 92\/3. Which is the third biggest value?  (a) -0.1  (b) 1\/6  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (1 + -6)) + -3 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 40*k - 242. What is the lowest common multiple of 10 and p(11)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -3 + (-6 - -12) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wtw when three letters picked without replacement from {n: 1, v: 8, i: 1, j: 1, w: 2, t: 7}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14805097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/28*1*(-4)\/6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -4*l**2 - 482*l + 4679. Give v(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(1\/40)*a\/(a*a*a*a**3\/a))\/(a**(-9\/5)\/a)**48)**(3\/29) assuming a is positive.\nAnswer: a**(3153\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k**2 - 3*k - 3. Let i(j) = -2*j**2 + 3*j**2 - 8*j + j**3 + 0*j**2 - 8 + 7*j**2. Determine -3*i(r) + 8*s(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**4*x*x\/x**(-7)*x\/(x**(-5)*x)*x**(2\/7)*(x**(-2\/27)\/x*((x*x*(x*((x\/x**8*x)\/x)\/x)\/x)\/x*x)\/x)\/((x*x**(-2))\/x*x**(-2\/9)) assuming x is positive.\nAnswer: x**(2350\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 713968944.\nAnswer: 2, 3, 13, 23, 49747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 17*l**2. Let n(y) be the third derivative of 0*y**4 + 73*y**2 - 1\/10*y**5 + 0 + 0*y + 0*y**3. What is n(h(g))?\nAnswer: -1734*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.26174917 - 84825037.73825083. Let o = -84824960.000134 - x. Let b = -79 + o. Round b to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1735217 (base 9) in base 7?\nAnswer: 11142001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, 25, 66, 107?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3313*v - 2384*v = 11445 + 5842 + 5501 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2190 = 5*n - 0*n. Suppose -566 - n = -4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 11*w - 30 = 0. Suppose -x = -47 + 14. Suppose -28*j + x*j - 35 = 0. Solve -2*f + m = -w*f + 18, f = m + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/1132 and -12\/25753?\nAnswer: 103012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cedcdld. Give prob of sequence cl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 27 = -2*k + 3*f, f = 4*k - 43. Suppose -8 = -82*w + 80*w. Solve a = w*a + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by -104\nAnswer: 17\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -38*f + 190. Let i(y) = 5*y**3 - 150*y**2 - 2*y + 65. Let d be i(30). Give o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406107.\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7417 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) -0.4  (c) 4\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 11*m - 9. What is k(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x*x\/(x*x\/x**22*x)))\/(x*x**(-41)))\/(x**(-43)*x**(-2\/7)) assuming x is positive.\nAnswer: x**(450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -31, 7\/13, -4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from {q: 2, w: 2, k: 1, n: 4, h: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uvi when three letters picked without replacement from uugggvvigvovog.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2130600 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*12\/45*-5. Calculate the remainder when (-34)\/(2*2\/x) is divided by (1\/2)\/((-1)\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 429, -1, -960 in descending order.\nAnswer: 429, -1, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 624715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 371 divided by -10882.\nAnswer: -371\/10882","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, b: 2, a: 4, k: 1, j: 1}. Give prob of sequence aj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8)*s*s**6\/s*(s*s**(3\/17)\/s)\/(s*s**(-6\/13)))**(-49) assuming s is positive.\nAnswer: s**(25578\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1857*a**3 + 6 - 7*a**2 + 1852*a**3 - 23*a**2 - 5 to u*a**3 + b + r*a + m*a**2 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(1\/7)*d\/((d*d*d\/d**(-1)*d)\/d))**(1\/35) assuming d is positive.\nAnswer: d**(-8\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -107 in -4, 14, -3, -2\/7, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + 4*i - 28, -3*h + 4 = -11*i + 129 + 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -88 - -277. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-76)\/(-9) - (-48)\/(-108).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0.01, -4, -39401, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**2 - 504*f - 6624 = 0. Calculate f.\nAnswer: -12, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 + g**4 - 89*g + 97*g + 4*g**2 - 5*g**2 + 2 + 3*g**2 in the form m*g**2 + y*g**4 + d*g**3 + c*g + p and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3093 + -736?\nAnswer: 2357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3175*w**3 + 2*w**2 + 4?\nAnswer: 19050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 3*q = -39, 26 = 3*o - 7578*q + 7576*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in -0.5, 297, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 68*q + 261. Calculate m(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.5 - -1. Let r = -241 - -251. Which is the second smallest value?  (a) r  (b) 0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 43*b**2 + 18*b. Does 7 divide m(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -ac (base 13) in base 2?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*j + 8 - 370 = -2 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k + 297. Let x be v(-32). Which is smaller: 508\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**3\/7 + 280744*d**2\/7 + 1407489990*d + 19703736900\/7 = 0. Calculate d.\nAnswer: -70185, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 86?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3019*d - 60843. Calculate i(-20).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4780\/(10\/(-15) + 3\/(-9)). Round t to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 754 - 466. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3953463 and 9804.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4529889 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d + 4. Let k(x) = x + 2. Suppose -5*r = z + 22, 4*z + r + 2*r + 54 = 0. Let s = -7 - z. What is s*k(h) - 2*v(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 198840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34397, 68791, 103185?\nAnswer: 137579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of ((-30)\/(-8))\/((-6)\/(-112))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(114) + sqrt(114))\/(1*sqrt(96)) + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -30*u + 15*u**2 + 5 + 90*u + 39*u - 11*u**3. Let g(i) = -3*i**2 + i - 1. Let b(l) = -5*g(l) - r(l). Find the second derivative of b(w) wrt w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 8, -22*h + 1118 = -3*r + 1045 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 247*i - 274*i + 14958 = 0. What is the remainder when i is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 13*d**3 + d**2 + 2*d - 3. Determine a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57660071.1999868 + -57660081. Let v = -9.8 - b. Round v to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of 0 + 0*f**4 + 0*f**3 - 11*f**2 + 1\/10*f**5 - f. Let i(d) = 17*d**2. Give w(i(l)).\nAnswer: 1734*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 902720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -798450.9905 - 5364588062.0095. Let p = 5365386361.99999881 + j. Let a = -151 - p. What is a rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -23. Let b be ((-21)\/q - 1)\/((-9)\/(-3105000)). What is b rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3*k - 1 + 3*k - 5*k + 4*k. Is 4 a factor of w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.403 take away 19655?\nAnswer: -19639.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 + 18. Let a be (-7)\/(-1) - 4 - r. What is the closest to a in -3, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 195 - 135. Suppose a = 6*j - j. Suppose 3*w - j = 3. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25957 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 100226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -9  (c) -0.4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-3 + -5 - 2) + -13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 263 + -262.8. Which is smaller: k or 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + o - 3. Let u(b) = -3*b**2 - 4*b + 10. Let j = 182 - 178. Suppose -j*c + 8 = -0*c. Determine c*u(f) + 7*d(f).\nAnswer: f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -194*i**2 - 913*i - 8. Give j(-5).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3240 (base 9) in base 4?\nAnswer: -211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 6 + -3 + -3 + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -505, -1015, -1523, -2029, -2533, -3035, -3535?\n\"Answer: f**2 - 513*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 359, 183, -293, -1219, -2745?\nAnswer: -5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.052385kg to tonnes.\nAnswer: 0.003052385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 177 = 15. Calculate the greatest common factor of k and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 l, and 1 m when three letters picked without replacement from mdhls?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1612 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6)\/(h\/h**(-6)))\/(h\/h**1)**(3\/13) assuming h is positive.\nAnswer: h**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.34 micrometers in centimeters?\nAnswer: 0.006834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-32)\/(-3) + (-30)\/(-9) + -4. Let q(c) = 38*c**2 - 40*c**2 + l*c - 6*c + 3*c**3 - 7. Let p be q(2). What is the highest common factor of p and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(110)*-2 + sqrt(110) + (sqrt(110) - (sqrt(110) + (sqrt(110)*-4 - sqrt(110)) + sqrt(110)))*6)\/(sqrt(1440)*3 - -2*sqrt(10)*4).\nAnswer: 13*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*m**2 + 190*m**2 + 6*m - 3*m - 173*m**2 in the form t + s*m**2 + y*m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -1140240121?\nAnswer: 1140240124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 7 + 5. Let l = 138 + -132. What is the smallest common multiple of l and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-78)\/(-21) + 6\/21. What is the third derivative of 5*t**3 + 2*t**6 - d*t**2 - 5*t**3 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -418*t**3 + 6*t**2 + 2*t + 1. Determine v(-1).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.733907 to 2 dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -55*i - 438. Let q(u) = 91*u**2 - 1457*u + 8. Let k be q(16). What is w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2339\/14525?\nAnswer: 2339\/14525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 - 3088*w**3 - 6192*w**2.\nAnswer: 4*w**2*(w - 774)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**2 + x + 6. Let o be p(2). Solve o = -16*i + 23 + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, w: 1, g: 6, s: 1}. What is prob of picking 1 g, 1 w, and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-2 - -6 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -24*k**2 - 12. Let s(f) = f**2. Calculate s(x(y)).\nAnswer: 576*y**4 + 576*y**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2705 = -19*o + 2083. Suppose 0 = n - 1 - 1. Let i be n\/(-12) - 2028\/(-72). Calculate the greatest common factor of i and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9244 and 80614613.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 6*m - 11. Let v be a(-8). Let u = v - -1. Suppose -2*k + 255 = 3*k + 5*j, 5*k - 225 = 5*j. Calculate the greatest common divisor of k and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {v: 4, m: 1, a: 2, q: 6, u: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 234 - 306. Let m be (2\/4)\/((-9)\/h). Let u = 19 - m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -236?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7291 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5436 (base 10) to base 13.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, r: 1, j: 1, u: 2, z: 1}. What is prob of sequence ryu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 24*i - 197 + 197 - 29*i. Let y(z) = -z**2 - 754*z. Determine v(y(t)).\nAnswer: 5*t**2 + 3770*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/12 - 2\/(-4). Let a = 0.9 + -1.3. Let r = 91 - 91.5. What is the nearest to 1\/4 in a, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**4 - 5422*r**3 - 6803360*r**2 - 2484800384*r = 0.\nAnswer: -3806, -808, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130212320 by -18601760.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116 + 227 + 161 = 72*y. Solve -171 = -y*q - 164 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 11*t**2 - 13*t + 4. Let c(p) = 5*p**2 - 6*p + 2. Let r(x) = x**3 - 4*x**2 + 3*x + 4. Let q be r(3). Let b = -85 - -76. Give b*c(v) + q*z(v).\nAnswer: -v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 129*i + 701. Determine r(-6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24782 is divided by 164?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (6\/4)\/((-348)\/(-9280))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 352750.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 119096995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 15 = -25. Let f = d + 9. Sort -3, 1\/4, f.\nAnswer: -3, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 34*m - 199. Is o(51) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 561*h**3 + 544*h**2 - 12*h + 3. Determine t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 21*j**2 + 1699*j - 5107. Determine h(3).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 56484 and 313800.\nAnswer: 2824200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/(p\/(p*p*p*p\/(p*p\/(p**(-3\/8)\/p)))))*p**1*p*p*p**(-5)*(p*p**(2\/3))\/p assuming p is positive.\nAnswer: p**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19215461227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*j = -45*j - 49485. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -l**5\/30 - l**2. Let z(v) be the first derivative of v**2\/2 - 1. Determine o(z(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**0)\/l*l**(-2)\/l*l**(-2\/21)\/l**1)**(-1\/46))**(-1\/9) assuming l is positive.\nAnswer: l**(-43\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 9, z: 3}. Give prob of picking 2 i.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 4\/22047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 14 = 2*b, 2457*x - 2462*x + 4*b = 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 334989 divided by -7.\nAnswer: -334989\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-3*(-4)\/144) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 22*d**2 - 591*d - 21. Calculate s(28).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285682484?\nAnswer: 2, 17, 31, 59, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 3*f + 43 = 54, 3*f - 104 = -19*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -18. Let p be 3\/2*(-4)\/h. Solve -l = 5 - p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56372281 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30090 and 92990?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125359 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 + 0. Let j be -1 + 2 + (-19)\/17. Which is the closest to 0.1?  (a) j  (b) l  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/5454 and -64\/310263?\nAnswer: 564058134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 - 0.2. Let h = 0.2 + q. Let g = 3 + -3. Which is bigger: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1954 = -m + t + 1959, -10 = -2*m + 4*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + (1 + (sqrt(2299) + 2 - sqrt(2299)) - sqrt(2299)))) + sqrt(2299))**2 + 3.\nAnswer: -462*sqrt(19) + 20743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*r**2*s**3 + 231*r**2*s + 20*r*s**3 + s**3 wrt s.\nAnswer: 24*r**2*s + 120*r*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 305209.8674 + -267998.876. Let x = f - 37200. Let k = 11 - x. What is k rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1247\/870*2\/(-6) and -67\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 14*m**2 - 2*m - 8. What is the remainder when 215 is divided by f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/3 in -52, 0, 0.5, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 115631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 - 5*g - 4. Suppose 13 = x - 7. Let h = x + -23. Determine s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 + 88 = 7*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*i - 6*i. Suppose i*w = -3*h + 6, -3*w + 3*h + 22 = w. Calculate the remainder when 4 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 850*k**3\/3 - 3571. Let l(s) = 5*s. Calculate l(g(j)).\nAnswer: 4250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-228)\/190)\/(9\/60).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5220917 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 - 8*b + 8. What is the tens digit of i(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/(-28)*2\/3 and -9\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -26806*j + 1125837. Determine b(42).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 8*s + 2. Let q(y) = -2*y - 2. Let h be q(3). Let z be p(h). Solve 6*b**2 - 6*b**3 - 2*b**4 + 4*b**4 + 0*b**4 - z*b = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 5*m**2 - 5*m + 13. Give b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 10*q + 33. Let m be i(6). Solve -m*a = 14 + 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from ljtvtdqdltvl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**4\/12 - 4*f**3\/3 + 544*f**2. Let u(c) = 4*c - 16. Give -5*i(j) + 3*u(j).\nAnswer: 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19487.\nAnswer: 13, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 5*m = -6*y - 6, 24 = 3*y - 5*m. Suppose 3*u - y = 3*c, 3*c + 2*u = 7*u - 11. Solve -h + 5*h = 3*s - 20, -2*s + 2 = c*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**3)**(1\/3))**45 assuming x is positive.\nAnswer: x**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -1. Let k = -4.3 + o. Let j = k - -2.3. What is the closest to -1 in 0, 0.5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lxxl. Give prob of sequence lxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.83100491 + -3.8311. Round i to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/782160 and 139\/360?\nAnswer: 2346480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -49552*k - 1830 wrt k?\nAnswer: -49552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20699279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 9*d**2 - 8*d - 6. Suppose -2*u - 5*z + 2 = 0, -3*u - 1 = -2*u + 2*z. Let y be i(u). Suppose -t - 2*t = 3*b - y, 2*b = -4*t + 36. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 15*p + 3. Let s be l(15). Solve -s*x - 4 = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.1 + 0.1. Let u = -242.9524 + -0.0476. Let i = -243.1 - u. Which is the nearest to i?  (a) 2\/15  (b) -2\/7  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-70)\/(-25) - 7\/(-35). Let n(t) = 4*t + 3. Calculate n(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 2.30285.\nAnswer: -0.230285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1350 - -5660?\nAnswer: 69b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24805*r + 24802*r + 7 = u, -5*r - 3*u = -5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27103\/13 + -2086. Suppose 5*l - 40 = 0, -3 + 46 - 1 = 6*x + 3*l. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.593 - 47.693. Let y = -47 - g. Sort 3, y, -0.5 in increasing order.\nAnswer: -0.5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 12*s**2. Let z(f) be the first derivative of f**2\/2 - 3. What is z(r(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.11 and 7?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -9380*s + 2851547. Give f(304).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 1131*q - 1163*q + 45 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1  (b) 2  (c) -1\/4  (d) -1291  (e) -0.1  (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 + -4)*(-1)\/3. Suppose -18 = -2*h - l*h. Let s(a) = a - 1. What is the remainder when 14 is divided by s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x + 4*x - 12*x + 4*x - 45 + 5*x.\nAnswer: 3*x - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243) - 3*sqrt(243))) + -1 + sqrt(243) + sqrt(243))**2 - 2*(2 + sqrt(243))) + -1.\nAnswer: -144*sqrt(3) + 11903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42.6 - -65.665. Let i = c - 0.065. Let j = i + -23.5. What is the second smallest value in 2, j, -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h**3 - 8*h**3 - 11*h + 2*h**3.\nAnswer: -10*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 10*n**2 + 3*n - 17. What is i(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 362 - 164. Let t = v - 90. Suppose l + 11 = t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -296 - -865. Let b = j + -569.3. Let n = -43\/14 - -32\/7. What is the third biggest value in b, n, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3926 - -23701\/6. What is the common denominator of -26\/25 and r?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-9)*30\/(-5)*24\/(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 52*u - 19*u + 2219119 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10821410, 10821406, 10821402, 10821398, 10821394, 10821390?\nAnswer: 10821386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 333*c = -339*c + 6, -10*w + 1 = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2585861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 478.53 or -0.205?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -1. Let m be (-2 - -2)*(27 + -18)\/(-45). Put m, 2, f, -2 in ascending order.\nAnswer: -2, m, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a - 70 + a**3 + 69 + 26*a**2 - 41*a**2 to g*a + p + c*a**2 + m*a**3 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 31*t**3 + 11*t**2 - 11*t + 7. Let r(c) = 16*c**3 + 6*c**2 - 6*c + 4. Let z(g) = -6*b(g) + 11*r(g). What is the derivative of z(v) wrt v?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) - 2*sqrt(209))*6)\/(3*-1*sqrt(11)))**2 + (2*(-1 + sqrt(76)) - 6*((sqrt(76)*2)**2 + sqrt(76))) + 0 + -5.\nAnswer: -16004\/9 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -9 + -18 + 8 + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -246 + 28. Let b = -219 - m. Let t = -733\/323 + 35\/17. Which is bigger: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-21274)\/(-30) + 18\/(-405)*3.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.488 - 0.012. What is the smallest value in -2\/5, -3\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 258 + 797. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, q: 1, i: 3, b: 3, j: 1}. Give prob of sequence liq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -77550908 by 80447.\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 21646, 33712, 45778, 57844, 69910?\n\"Answer: 12066*k + 9580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4582199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence utvu when four letters picked without replacement from tuutvutttu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -70  (b) 2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -408588 (base 9) to base 6\nAnswer: -5110425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r**4 - 17*r**4 - 7*r**4 + (r**3 + 2 - 2)*(-4*r + r + 5*r) to the form t*r + m*r**4 + q + f*r**3 + h*r**2 and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -345 divided by -861428\nAnswer: 345\/861428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 207*g + 3496. Does 3 divide n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*a = 5. Suppose -4*u = a*k + 175, -113 = 4*u + 4*k + 59. What is the units digit of 282\/4*(u\/(-12))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -270607.27 to the nearest 100.\nAnswer: -270600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -2. Let l = j - -3. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2470417077 to the power of 1\/2, to the nearest integer?\nAnswer: 49703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 4532 - 900 = 0. Let b = 947 - f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -10. Suppose h*d + 42 = 6*d. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10011 (base 2) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30*j**5 + 96*j**5 + 17*j**4 - 6704 - 3*j - 65*j**4 + j - 47*j**5 wrt j?\nAnswer: 380*j**3 - 576*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -j**3 + 39676176*j**2 - 393549735495744*j = 0.\nAnswer: 0, 19838088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s - 13. Let q(p) = -33*p + 24*p - 178 + 15*p. Let h be q(31). Give o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -251*k + 102. Let r be x(-6). Suppose 5*t = z - 779, -2*z + 3*t = 57 - r. Is z a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8015.8466 to the nearest 10.\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1188654 divided by -20?\nAnswer: 594327\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27 - 8 - 27)*(98 - 52 - 46*k - 42) as r + c*k and give c.\nAnswer: 2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 84\/(-39) - (-14)\/91. Let p be (-5)\/(5\/(-12)) - (-2 - l). Solve -8*c - 8 = -p*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 4*l - 10 + 8, 4*l + 4 = -2*x. Let u be (l\/(-12))\/(7\/21). Which is the third biggest value?  (a) 0.9  (b) 2\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 93076 and 24?\nAnswer: 558456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 4*q = -3081, -3*q = 118*l - 119*l + 1022. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 6:33 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 6, 25 = x - 4*s - 51. Let h(u) = 5*u**2 - 8*u + 8. Let i be h(10). Find the common denominator of 125\/6 and 0\/(-1) + i\/x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q - 18*q + 92*q + 56*q.\nAnswer: 125*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 4. Suppose n*a - 31 = -11. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 5851*k**3 - 1 + 5850*k**3 - 7 - 4*k + 5*k + 245*k**2 to the form b*k + j*k**3 + a + y*k**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1033043 and 469565?\nAnswer: 5165215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1201*c - 2*g + 40 = 1198*c, -98 = -7*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169*t - 1857 + 906 + 954.\nAnswer: 169*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1274095 and 814.\nAnswer: 28030090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 829469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -121814.645 - -124660.6. Let j = 2856 - z. Let h = j - 0.045. Is -2\/19 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 13*f - 18. What is m(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9238440 and 2480?\nAnswer: 9235960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6584865*j*v**3 - 5625*v**3 - 215*v**2 wrt j?\nAnswer: 6584865*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**5 + 388378*q**4 - 9710268*q**3 + 83899040*q**2 - 273452288*q + 198875136 = 0.\nAnswer: -194214, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2333, 2320, 2285, 2216, 2101?\n\"Answer: -2*i**3 + i**2 - 2*i + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 12 = 2*i - 2*v, 3*i + 2*v + 16 = 0. Let y(a) = -21*a - 7. List the prime factors of y(i).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -350 - -309. Let q = 45.1 + g. Which is bigger: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 4 - 4)*(224 + 770 + 301 + 2827 + 520).\nAnswer: -4642*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1080452 and 116?\nAnswer: -12.5332432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-8 + -4 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -d (base 16) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of 0*c**5 + 1\/210*c**7 - 3*c**2 - 1\/24*c**4 + 0*c**6 + 0 + 0*c**3 + 0*c. What is the second derivative of t(j) wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 34*z**2. Let m(p) = -2*p**2 + 11*p - 11. Let f(w) = -w**2 + 6*w - 6. Let n(k) = -11*f(k) + 6*m(k). Calculate a(n(s)).\nAnswer: 34*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 130 in 0, -3, 1\/7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6.1*-11003454\nAnswer: 67121069.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5940*q = -3*u + 5937*q + 45, -u + 11 = -3*q for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 149 - 53. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1 + -130)\/((-19)\/(-38) + (-25)\/30) is divided by 130.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -5 - 12*y + 5 + 10*y. Let p(b) be the first derivative of -11*b**6\/360 + 11*b**3\/3 - 15. Let g(w) be the third derivative of p(w). What is g(r(l))?\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 11:30 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7484363 to the nearest integer?\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -4*j. Suppose -2*u + 4*p = 8, 27*p + 26 = -4*u + 25*p. Sort u, j, -2.\nAnswer: u, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/(-21))\/2)\/(5*(-19)\/95)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 8:55 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*168\/252*(-1)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.135645 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 99218869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of -7*h**4\/12 + 29*h**3\/6 - h**2 + 14. What is the derivative of c(a) wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 67*p**3 - p**2 + 3*p - 1. Determine a(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 2719 = 4*w + 2*d, -2*d - 1358 = 2*w. Let u = w + 272. Let m = -286 - u. Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of -5*l**4\/24 - 5*l**3\/6 + 73*l**2. Give j(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10900000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 2\/11, -0.5 in decreasing order.\nAnswer: 35, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 + 20*r + 67. What is h(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -322.87 + 323. What is the closest to 1 in s, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/(-40) - (-4)\/5. Let c(n) = -n**2. Let l(a) = -a**2 + 4. Let z(i) = f*l(i) + 3*c(i). Factor z(h).\nAnswer: -4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m**2 + 47*m - 71. Let g be o(23). Let c be ((-166)\/g - 1) + 74\/444. Which is bigger: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 28520 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*r**3 + 15*r**3 + 23*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-1 + 1) - (17 + -19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 - -44.1. Let k = 3.06 - 0.06. Let u = k + s. What is the third smallest value in u, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 616123.\nAnswer: 5\/616123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 239311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -6*z - 118. Calculate l(-8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35344526 is divided by 108.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 17637.11km in micrometers?\nAnswer: 17637110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000478128 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 98121*n**3 - 189511*n**2?\nAnswer: 588726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11937.5*570.\nAnswer: 6804375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - l + 3*l)*(-3*l - 1 - 5*l + 6*l) + 5*l**2 + 14 - 14.\nAnswer: 3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -25*r - 18*r - 36*r + 77*r. Let l be ((-4)\/(-10))\/((-1)\/(-5)). Let d(s) = -s + 11*s**l + s. Calculate d(q(y)).\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-21)\/(-6) + (-234)\/(-156). Solve -4*p + 3*o + 70 = 39, f*p - 4*o = 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2568 and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8744156.\nAnswer: 2, 2186039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 1)*(0 + 15). Let l be (-6)\/n + 288\/795. Let v = l - 92\/371. Which is greater: -0.2 or v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13672956103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -7*d**4\/2 + 261*d**3\/4 - 433*d**2\/4 - 1044*d + 2628 = 0.\nAnswer: -4, 3, 4, 219\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*k**4*q - 101*k**4 - 2*k**3*q*u + 28*k**2*q - 4*k**2*u + 2*k*q + 3*k*u + 3*k wrt k?\nAnswer: -48*k*q - 2424*k - 12*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3746 - 3863 - 568*n**3 + 7062 wrt n.\nAnswer: -1704*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 18*o**2 + 3*o + 4. Is l(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3)*((10 - 2) + 19). Let g be 82\/4*(-1 - -3). Suppose -g = -l*t + 58. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 29 - -a7a?\nAnswer: aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -x**4\/6 - x**3\/2 - 3*x**2\/2 - 8*x. Calculate c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 + 87. Let d = 159 - g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.02 and -4482.\nAnswer: -4482.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 112 and 7977228?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6\/5*y**4 + 2 - 4\/5*y**2 + 18\/5*y - 4*y**3 + 2\/5*y**5 = 0. Calculate y.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 443*u + 3103. Calculate o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 + 79. Let d be (-7)\/21*l\/(-14). What is the biggest value in 2\/9, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zlzthhct. What is prob of picking 1 z, 1 l, 1 h, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19086521837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 1 + 2)*(0*j + 0*j - 2*j) + j - 2*j + 3*j + (-j - 1 + 1)*(-2 - 8 + 7) - j + 2*j + 0*j)*(-1 + 0 - 2 + (-2 + 1 + 2)*(-1 + 1 - 2)).\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1033 + -12?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 4:51 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j + 61*j**2 - 4*j + 2*j.\nAnswer: 61*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 8. Let x be s(-6). Let v(y) = y**3 + 16*y**2 + 11. Suppose 5*i = 4*a - 80, -5*i + i - 4*a - 64 = 0. Let k be v(i). Solve -x*l - k = -1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 263*b**3*w*y**2 - 2*b**3*w - b*w*y**2 + 2*b*w + 3*w*y**2 + 611 wrt y?\nAnswer: 526*b**3*w*y - 2*b*w*y + 6*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-1\/7)*y*y*y*y*y*y**2\/y*y*y**22*y**(2\/9) assuming y is positive.\nAnswer: y**(1895\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79386 (base 10) to base 14.\nAnswer: 20d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 824976 and 119952.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 2. Let z be ((-18)\/(-45) - (-8)\/5) + 3. Let t = z + q. Solve -9 + 1 = 2*n - t*b, 5*b = 3*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-733489*d**2 - 3*d**4 + 733489*d**2 + 3*d**4 + 7690*d**5)*(-6 + 0 - 1).\nAnswer: -53830*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 1:14 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212179.8 decades to years.\nAnswer: 2121798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*d - d. Suppose 5*t = 4*u + 37, -5*t + 2*t + 5*u + 30 = 0. Suppose z + 2*z = -a + 5, 0 = 2*a + 8. Put t, z, d in decreasing order.\nAnswer: t, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 f, and 1 r when three letters picked without replacement from {f: 3, a: 3, r: 3, b: 1, s: 1, l: 3}.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55091416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-713 - -705) + -71 + -11?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4221506487 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38\/395 or -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 109859041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 349 in 0.3, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69511824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r - 48. Let h(y) be the first derivative of 2*y**3\/3 - 19. Determine h(a(n)).\nAnswer: 2*n**2 + 192*n + 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3144877 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -3*p**5\/2 + 15*p**4 - 33*p**3 - 48*p**2 + 285*p\/2 - 75 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8890791 is divided by 1172.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 8*k + 39. What is a(-18)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*g + 126006 + 332144 = 0. Calculate the lowest common multiple of g and 9.\nAnswer: 82467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*x + 1\/3*x**2 + 0.\nAnswer: x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 38*s + 158. Give x(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -8. Put 7, 1, z in increasing order.\nAnswer: z, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 - 2*t + 19 + 38 + 162.\nAnswer: -2*t + 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from nnvtttmitttnt?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3122004 (base 5) to base 10\nAnswer: -51504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 99 - 99. Suppose o = -0 - r. Solve -s - 2 + 1 = o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z + 8. Let f be i(-6). Suppose 0 = -3*t + 3*n - 9, -2*n + 1 + 9 = 0. Calculate the highest common factor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 95\/15 + 3 + (-35)\/15. Suppose 2*r - 28 = 2*d, -4*d + y*d = -5*r + 38. Solve 0 = -0*a + 2*a + r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2 + 132*y - 1452.\nAnswer: -3*(y - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320)*-2 + 1 + -4 + ((-5 + (sqrt(320)*2 - sqrt(320)))**2 - sqrt(320)) + 2.\nAnswer: -104*sqrt(5) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3994 and 6?\nAnswer: 11982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**4\/12 - 7*l**3\/6 + 89*l**2\/4 + 210*l = 0?\nAnswer: -21, -8, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -2\/709?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 4*u - 3*u - 19, 0 = -2*b - 4*u + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8164279481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7682?\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268749 is divided by 528.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 249*j - 3 + 7.\nAnswer: 249*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3595 + 61133\/17. Let c = l + -1379\/34. What is the common denominator of (73\/(-2))\/(-1 + -1) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 + 1 + 108)\/2?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 8*q**2 - 7*q - 4. Let r(w) = -w**3 - 7*w**2 - 6*w - 3. Let u(x) = 5*b(x) - 6*r(x). Calculate u(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*m + m. Let o be (2 + -5)*m - -10. Solve -o*s + 3*s = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -1734*g**4 + 2*g**3 - 14*g**2 - 13*g + 86. Let d(a) = a**3 - 7*a**2 + a. Let w(u) = 2*d(u) - f(u). Find the second derivative of w(x) wrt x.\nAnswer: 20808*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15456 and 6238106?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -235293990, -235293991, -235293992, -235293993, -235293994, -235293995?\n\"Answer: -g - 235293989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90248, -180513, -270782, -361055, -451332, -541613, -631898?\nAnswer: -722187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 - -7. Let u be (33\/d)\/((-3)\/(-1)). Do u and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 7) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -75.82 + 76. Is n greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3\/11, -1938, -2\/3, 0.5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5826, 12846, 19854, 26844, 33810, 40746?\nAnswer: 47646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 3\/3089963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*m - 23 = -3*m, -5*k = 2*m - 50. Suppose 14*t - 16*t = -k. What are the prime factors of 6\/t + (-213)\/(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + q + 8. Let l = -40 - -47. Give v(l).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 5*k - 451, k - 833 - 283 = -5*r. List the prime factors of r.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -8 + t - 6*t + t. Let w(j) = 2*j - 5*j - 1 - 6. Determine 5*g(x) - 6*w(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6, 0, 16, 48, 102, 184, 300, 456?\n\"Answer: a**3 - a**2 + 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 231976 and 11924.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -47192a (base 11) to base 7\nAnswer: -6240043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/9 - 9283\/(-18). Let g = w + -1977\/4. Find the common denominator of -11\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 5*c + c - 2*c. Let l be h(1). Let p(w) = -w**3 + 29*w**2 - 21*w - 1448. Let o be p(26). Solve -2*b - 31 = 5*j, 3*b + j + l*j = -o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r*r*r**(4\/19))\/r)\/r)\/(((r**(-1\/9)\/r)\/r)\/r))\/((r**(3\/23)*r*r)\/((r\/r**(1\/4))\/r)) assuming r is positive.\nAnswer: r**(14807\/15732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n + 10. Let f(r) = 4*r + 67. Let z(c) = -f(c) + 6*i(c). Determine z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36.04 + 33. Let r = 0.04 + j. Which is the nearest to 2?  (a) 1  (b) -2\/7  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eev when three letters picked without replacement from {v: 1, m: 2, e: 2, r: 2, g: 1, f: 5}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 383633307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 949 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 32183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3854 and 6478?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-10500)\/18000)\/(40\/12 + 0 + -1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, -9600 in decreasing order.\nAnswer: 2, 0, -9600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r - 47*r = -16*r + 342 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67765315 - 67765315.146599289. Let w = 1807 - 1807.1466. Let j = w - d. What is j rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.96 - -0.44. Round q to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(3) + 0 + 0 - (sqrt(300) + -1)**2).\nAnswer: -63*sqrt(3) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -924091 and -1904117.\nAnswer: -2828208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/1 + -5)*-1843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) -2.7  (b) -4  (c) -0.5  (d) 0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3825 is divided by 657?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 3*i + 15 = 0, -5*y + 15*i = 10*i - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus -0.269102123268?\nAnswer: -4.730897876732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 1) + 1\/(-2). Put z, 1, 0.3 in decreasing order.\nAnswer: 1, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 1)\/(8\/40). Suppose -n - 1 + 15 = 0. Put -4, n, s in ascending order.\nAnswer: s, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4362 (base 8) to base 6.\nAnswer: -14334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 281053 is divided by 1925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f*(f*f*f**10)\/f)))\/f*f**(-16\/7)*(f**(-3))**(-11))**(-9) assuming f is positive.\nAnswer: f**(-2628\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20486165.66999844 + 20486165. Let w = k + 0.67. What is w rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f. Let m(u) = u + u**2 + u**3 - 5*u**2 + u**2 - 15 + 14. Let l be m(3). Let v(p) = 0*p**l - 3*p**2 - p**2 + 3*p**2. Calculate v(s(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2181*z + 3 + 1073*z + 1089*z)*(-z + z + z) to the form j*z + k*z**2 + u and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 s when three letters picked without replacement from {p: 2, c: 2, u: 2, s: 1, l: 1, k: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -9*p + 36. Let v be w(8). Let t = v - -39. Suppose -r + 213 = t*o, 3*r + 2*o - 631 = o. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 - 1)*(6*g**2 - 5 + 3 - 7*g**2) as u*g**2 + v + s*g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71 - 157 - 86)*(3*h**3 - 2*h**3 + h**3 + 3*h**2 - 2*h**3 - 3*h**2 + (4 - 4 - h)*(-h**2 + 5*h**2 - 2*h**2)).\nAnswer: 344*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17\/4 + -23\/4. Let w = 371 - 444.2. Let o = w - -73. Which is the closest to 1?  (a) -1\/2  (b) h  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(25\/5)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27414 is divided by 9135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((15*-30)\/3)\/(-4 + (-2046)\/(-516))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -225, -480, -837, -1302?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-6)\/20*(-56)\/((-1344)\/460)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyyxy. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from {a: 2, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 137806296 divided by 2.\nAnswer: 68903148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**6*g*g**(-5\/2)*g)\/(g*g**0)**(-10\/7)*(g**(2\/7)\/g)**(-6)\/(g\/(g\/(g*g**(1\/3))))**(-41) assuming g is positive.\nAnswer: g**(2305\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 479*x + 7960. Calculate u(-20).\nAnswer: -1620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -127 and -961465?\nAnswer: 122106055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -70 - -117. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**2 + 11*z - 4. Calculate the least common multiple of v(-6) and 84\/24*(-4)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 558913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((200\/20)\/270)\/(1\/(-3))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.148 + 0.148. Let c = 2.9 - 3. Put w, c, -3\/2 in ascending order.\nAnswer: w, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 407185 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/42*-7*(-3)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 587189 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 338008*a - 1276902.\nAnswer: 338008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -265 + 222. Let w = 100.6 - g. What is w rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -27. Let q = -16 - r. Let v(x) = 7*x - q*x + 3*x. Let u(c) = -2*c**2. Calculate u(v(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 10:17 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13834 and 8.\nAnswer: 55336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26?  (a) 406\/17  (b) -3\/2  (c) 3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 171189315 to the power of 1\/2, to the nearest integer?\nAnswer: 13084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (0 - -1) + -7 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-3) + (-32)\/(-42). Let t = 19 - 79\/4. Which is the nearest to t?  (a) -3\/2  (b) w  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2e93c + 1?\nAnswer: -2e93b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -242*c*m**3 - 2*c*m - m**3 + 20*m**2 wrt m.\nAnswer: -1452*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41795 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13066 by 4.\nAnswer: -6533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -j**4\/3 - 69*j. Let s(t) = t. Give g(s(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0253 + -0.5253. What is the nearest to 2\/3 in 3\/4, -3\/2, 5\/2, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-55)\/(-15) - 4 - 190\/(-48) and 103\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2233236 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*u**2 - u + u to n*u + j*u**2 + b and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 16  (b) -1.07  (c) 2\/5  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 149876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dmddnddddddpddd. Give prob of picking 1 m, 1 p, and 1 d.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = i - 5, 5*i - 8 = -5*u + 17. Suppose 1 + u = x. Solve 0*y + y - x = 0, 3*b - 2*y = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 3*i - 5, -4*r - 3*i - 6 = 29. Let j = r + 10. Suppose 4*s - 2*d - 64 = 0, -d - 4*d = 2*s - 8. Solve u = 4*g + s, 0 = j*g + g + 4*u + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -838\/9 + 5872\/63. Let v(s) = -s**2 - 6*s - 5. Let n be v(-5). Let p = 0.6 - 0.1. Which is the closest to n?  (a) p  (b) -1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 12:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8537 is divided by 395.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*sqrt(1000)*-4)\/((sqrt(810)*-2)\/(sqrt(8)\/sqrt(4)*-2)).\nAnswer: 40*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1974 = 65*a + 106 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - a + (3 + 2 - 4)*(-3*a - 3*a + 5*a))*(-1643 - 437 - 1008).\nAnswer: 6176*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1086 at least as big as -1085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/90*((-78000)\/45)\/(-26)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (-3 + -11 - -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 458932\/5  (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-51)\/12*(1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.7?  (a) 8  (b) 67  (c) -0.4  (d) 4  (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9364251 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p. Let z be b(-5). Let o be 94\/z + 2\/5. Let s(a) = -a**3 - 10*a**2 - 10*a - 4. Let f be s(o). What is the nearest to 0 in 0.5, 4\/5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.11 + -0.09. Let x = 26.1 + -26.6. Which is the nearest to 1?  (a) x  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2851360, -5702710, -8554060, -11405410?\n\"Answer: -2851350*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 7, 19, 2.1, 4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 903*m**2 + 910*m**2 - 3057 + 899*m**2 - 2711*m**2.\nAnswer: m**2 - 3057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -12355 (base 7) in base 3?\nAnswer: -11111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 68010.03*0.3\nAnswer: 20403.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -5 - 10. Suppose 0 = -4*t + m*t + 23. Suppose -32 = -3*n - v - 3*v, 2*n = -v + t. Calculate the lowest common multiple of 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2443?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17.6 - -18.1. What is the third biggest value in c, -4, 75, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17155146.67999977 - 17155147. Let y = 15.68 - 16. Let b = y - q. Round b to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 114577881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 51. Determine t(-15).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 20*r**2 - 6 - 3 + 7 - 46*r**2.\nAnswer: -66*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 793*s**2 - 205. Let k(n) = 11101*n**2 - 2873. Let q(z) = 6*k(z) - 85*o(z). Let d(b) = 17*b**2 - 4. Calculate 187*d(a) + 4*q(a).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -10*q + 422. Let r(l) = l**3 - 3*l**2 - l + 3. Let z be r(3). Calculate the smallest common multiple of n(40) and 2*6 - z\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 263.9 - 10.9. Let f = 149 - j. Let h = -104.86 - f. Round h to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/13 - 4782*i**2\/13 + 9570*i\/13 - 4786\/13.\nAnswer: -2*(i - 1)**2*(i + 2393)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6655825 to the power of 1\/2, to the nearest integer?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.813535ml in litres?\nAnswer: 0.007813535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {r: 8, k: 7, a: 3}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (957\/319)\/((-90)\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16.01 + -16.009574. What is t rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, s: 6, e: 2, w: 5, g: 1}. Give prob of sequence sg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 36350032.\nAnswer: -1\/9087508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -67*(-4)\/(-24) + (-1224)\/(-7344)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*k**4 - 1862*k**3 + 184*k**2 + 72*k = 0. Calculate k.\nAnswer: -18, -2\/13, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 7*i**4 - 5*i**3 - 8*i**2. Let s(b) = -29*b**4 + 20*b**3 + 31*b**2. Let c(y) = -9*a(y) - 2*s(y). Factor c(r).\nAnswer: -5*r**2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -392*f**4 + 360*f?\nAnswer: -4704*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 3*z - 9. Let r be i(8). Suppose -4*x = -y - 45, -y = 4*x + 4*y - r. Let k = -8 + x. Let n(b) = -4*b**2 + 3*b. What is n(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 28*b**2 - 58*b**2 + 17*b**2. Let j(w) = -2*w. Give j(p(s)).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 times -36907\nAnswer: 4059.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1 = -9. Suppose 0 = g*n - 14 - 1. Let d be (-1)\/2*(-1 + 1). Sort d, -5, n in decreasing order.\nAnswer: n, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/6 and (-4566)\/(-540) - 2\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-1)*(-22)\/11. Let w be 261\/18 - (-1)\/g. Suppose -6*l - 3 = -w. Solve -3 = -l*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 534, -5, 1, 45, 2 in decreasing order.\nAnswer: 534, 45, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19031080 is divided by 13662?\nAnswer: 13576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 292a5a5 (base 12) to base 2\nAnswer: 11111100011010011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3248)\/(-3045)*6\/48?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9 + 7 + 84*m + 16601*m**4 - 16588*m**4 + (-2*m**2 - m**2 + 2*m**2)*(-3*m**2 + 3*m**2 + 2*m**2).\nAnswer: 11*m**4 + 84*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 14564 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of -z**8\/1680 + z**6\/180 - z**3\/6 + z. Let c(d) be the second derivative of o(d). Find the third derivative of c(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 5*(-10)\/(-25). Sort -3, -2, a in decreasing order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 204 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -5*s**8\/336 + s**6\/8 - s**5\/6 + 35*s**2 + 38. Let c(k) be the second derivative of y(k). Find r, given that c(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15d59aa (base 15) to base 2.\nAnswer: 111100100001001101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/104 and -79\/1768.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of 2\/3*r**3 - 1\/15*r**5 + 0 + 0*r**4 + 0*r - r**2. Differentiate l(x) with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 54 - 18. What is the remainder when f is divided by 14\/28 + 4\/(-8)*-37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/5  (b) -6\/5  (c) 2  (d) 4\/25  (e) -6\/61  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*o + 1021 - 6508 = 0. Let p = o + 219. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.74 - 0.058.\nAnswer: -0.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(198)*-2)\/(sqrt(1584)*1) + sqrt(242)*1 + sqrt(12)\/sqrt(216).\nAnswer: 32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-2)\/((-3)\/9*-6 + -3) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9\/4*y**2 - 27\/2 + 27\/4*y - 7\/4*y**3 + 1\/4*y**4 = 0. What is y?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 5:16 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 9 = -3. Find the common denominator of -57\/16 and x + 1 + (-146)\/(-20).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 221502*x**5 + 449478*x**2 wrt x.\nAnswer: 13290120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 324 = -4*q, -3*b = -0*b. Let i = 41 - q. Let o = i - -63. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 681, 680, 677, 672, 665?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - 37*d = 56. Let f(l) = l - 1. Let r(o) = -3*o - 2*o - 6 + 6*o. What is d*f(v) + r(v)?\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 870 divided by -5?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*s**2 - 783*s - 1 - 774*s - 19*s**2 + 1567*s as w*s**2 + j + g*s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (13 - (5 + 7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**2 - 23*c + 1 + 60*c - 21*c - 19*c. Let s(i) = 4*i**2 - 6*i + 1. What is -5*o(d) + 3*s(d)?\nAnswer: 2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 + (-2 + 0 - (-8 + 4)) - (2386 - 2390).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 100 = 4*k. Suppose -k = -3*o + 8. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 6. Let f = -12 + k. Suppose f = -d - 3*o - 9, -4*d - o - 17 = 0. Put d, -4, 3 in descending order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 316341 or 316346?\nAnswer: 316346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 465 = 2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*d**3*o*p**3 + 2*d**3*o*p - 101*d*o*p**3 - 16*d*o*p**2 + 12*o*p**3 - 482*o wrt p.\nAnswer: 18*d**3*o - 606*d*o + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssx when three letters picked without replacement from qqqxqsqhs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/7?  (a) 2\/9  (b) 0.6  (c) -0.5  (d) -44983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 205.1 - 205. What is the closest to -1\/2 in 12, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 57 - -501130?\nAnswer: 501207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w**3 - 4*w**2 + 14. Let l(f) = -3*f**3 - 5*f**2 + 15. Calculate -5*i(b) + 4*l(b).\nAnswer: -2*b**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-23))*u)\/u**(-24) assuming u is positive.\nAnswer: u**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 487*n**2 + 890*n**2 - 5 - 1 + 2 + 2. Let r(l) = -2*l**2. Determine z(r(g)).\nAnswer: 5508*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1390, 5553, 12500, 22237, 34770, 50105, 68248, 89205?\nAnswer: 112982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -63ae - -140?\nAnswer: -626e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = o - l, -2*o - 110*l - 5*l = 95 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7.6 * 65.3.\nAnswer: -496.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94571 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*u = 10. Suppose 0 - 20 = -u*p. What is the derivative of 6*h**p + 3*h**2 - 3*h**4 - 3*h**2 + 2 wrt h?\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**7\/h)\/(h\/h**1))\/(h**(-1\/19)\/h*h)**(-2\/39) assuming h is positive.\nAnswer: h**(4444\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 14, r: 4}. What is prob of picking 4 r?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(130) + 6*1*sqrt(130) - (sqrt(130) + -1*-1*sqrt(130) - sqrt(130) - sqrt(130))))\/(4*(sqrt(160) + sqrt(160)*4 + sqrt(160))*5))**2.\nAnswer: 637\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 + 20. Suppose -4*m + 17 = 1. Calculate the smallest common multiple of o and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {d: 1, j: 1, x: 3, f: 5, z: 4}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2195)\/15 + -2)*(-18)\/10. Suppose j*p = 264*p + 1194. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -5*v + 6, -2*x - 2*v = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*s + 62. Let z = -15 + s. Let c be z\/(-16)*(-1 - 3). Are c and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 6*a - 4*a + 61 = 0, 3*a = 5*l - 102. Let n(h) = -4*h + 154. Calculate the smallest common multiple of l and n(36).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4*z = -13. Suppose 2*o - 5 - z = 0. Suppose -2*n + 3*n = 3. Calculate the highest common divisor of o and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 o, 1 w, and 1 y when four letters picked without replacement from {b: 1, y: 3, w: 1, x: 3, j: 4, o: 5}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.1, -1.5, 452, 7\/2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -18.9*-4\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b - 12*t + 10*t - 36 = 0, 4*b + 14 = -3*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 145*p - 4*p**2 - 62*p - 83*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**3 + 2*d**2 + 5*d + 4. Let w be v(-2). Let c be (-28)\/w*(-3 - -5). Solve -3*r - 15 = 2*r, 3*f + c*r = -18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 4 + 4 = 0. Let q be 3\/((-3)\/f) + 24. Suppose -10 = -4*g + q. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) 2\/587  (c) 0.009  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -464.27 - -470. Let z = i + -5.5. Let d = 1.23 - z. Which is the closest to -1?  (a) 1\/2  (b) -2\/11  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f + 1. Let c(u) = -58*u - 8. Calculate -c(l) - 6*s(l).\nAnswer: 46*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 67*y**2 - 749*y + 1630. Give h(-77).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*q, -45*x + 4*q + 18 = -43*x. Solve 3*k + 13 = -3*z + x*k, 23 = -5*z + 4*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 935*l - 1924. What is c(2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 237*j**2 + 6*j - 8. Let k(h) = h**2 + h. Let i(c) = d(c) - 2*k(c). Let s be i(-8). What is s rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1332.998798 + 1333. What is d rounded to five decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -2 - (-9 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 0*m + m = -1344, 672 = 2*r - 4*m. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 + -7. Suppose 3*s + 3*v = n*s + 39, 0 = 5*s - 3*v - 159. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (-14)\/(-12) - 3542\/132. Let x be 1\/(h\/(-18) - 1). Solve 2*q + 14 = -x*j, 2*q + 3 + 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 521*p**2 - 1097*p**2 + 531*p**2. Let g(r) = 7*r. Calculate z(g(j)).\nAnswer: -2205*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*f**2 - 4*f + 0*f**2 + 3*f.\nAnswer: -25*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403153878 is divided by 635.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7493009*a**4 + 14782*a**2 + 3*a + 8?\nAnswer: -179832216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2 - 6*p - 4. Let t be j(5). Suppose -c - 2*d - 22 = -5, -d = 5*c + 76. Let l = t + c. Put l, 2, 0 in decreasing order.\nAnswer: 2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 154 + -502. Let d = r - -364. What is the remainder when 253 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 195 and 50837709?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 5:31 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 5254*w**2 + 10*w - 5. Let r(p) = 2760977*p**2 + 5254*p - 2627. What is -5*r(q) + 2627*x(q)?\nAnswer: -2627*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 26309.07mm?\nAnswer: 2630.907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -0.75, 579\/26 in decreasing order.\nAnswer: 579\/26, 5, -0.75, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6694255, 6694253, 6694251, 6694249?\n\"Answer: -2*r + 6694257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - p = -2*a + 11, 3*a = -p - 41. Let j = 26 + a. Let o = -19 + 39. What is the remainder when o is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 53, 99, 145, 191, 237, 283?\n\"Answer: 46*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 3\/296  (c) 0.3  (d) 4  (e) 1\/10  (f) -11231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 272004241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + -22 - (1 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -7*(-7 - 7 - 3). Let y = 118 - q. Let p(w) = 6*w**2. Give p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**2 - 1813373*c + 85230740 = 0. Calculate c.\nAnswer: -1813420, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88119926?\nAnswer: 2, 3011, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4032 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 1 + -2 + sqrt(171) + sqrt(171))**2 + 2 + sqrt(19) + sqrt(304)*1.\nAnswer: -13*sqrt(19) + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f + 3*f - 5*b = 29, -2*b - 2 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) 19  (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -7*z**3 - z. Suppose -4*d + 8*d - 4 = 0. Let n(g) = g**3. Let v(c) = d*s(c) + 6*n(c). What is the second derivative of v(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5*b**3 - 2*b - 2. Let g(f) = 110 - 40 - f - 36 - 35. Determine -2*g(c) + y(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4405, -35618, -120371, -285436, -557585?\nAnswer: -963590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*v + 716*v**3 + 5*v**4 - 2*v**4 - 349*v**2 + 758*v**3 - 2*v**4 - 1558*v**3 = 0.\nAnswer: -3, -1, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -20*n + 11. Give y(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 2657*t - 21227. Give n(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -745*c - 6705. Calculate g(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 45*f**2 + 133*f - 1. Give s(-4).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2 + 21*b - 9. Let i be v(-11). Let p be (1\/5)\/(2\/1220*i). What is the highest common divisor of 610 and p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -173*i**4\/4 + 103*i**3\/2 - 420*i. Find the second derivative of f(x) wrt x.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9412272 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + o + 37. Let m be (1 + (-10)\/4)*-2. Suppose 0 = -m*u + u. Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17650 + -17580. Calculate the smallest common multiple of h and 1204.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 5*c**2 + 64*c - 113. List the prime factors of v(-31).\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 15*y = 24. Suppose 4*u - 645 = y*c - 3*c, -u + 1891 = 3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**5\/60 - r**4\/24 + r**3 - 77*r**2. Calculate v(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 624.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 43 = 77 - 90 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-276)\/(-20)*(-16)\/6*4230\/3384?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.46 + -6756.\nAnswer: -6755.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 172354 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/1308 and 29\/48?\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 2  (c) -225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 + 117 = 19*r. Solve -7 = -v + y, -2*v + y = -7*v + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -63902*v. Let s(f) = 8*f**2. Calculate d(s(p)).\nAnswer: -511216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w**4 - 788*w**3 + 790*w**3 + w**2 - 2*w + 2*w - 32 in the form v + y*w + t*w**2 + h*w**4 + z*w**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*u + 58, -37*u + 36*u + 2 = -5*s. Solve 0 = -4*b + b + 5*g + u, 28 = 5*b - 2*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77221.67 centimeters to meters.\nAnswer: 772.2167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 6*k - 3. Let f(z) = z. Let s(g) = -b(g) + 5*f(g). Calculate s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124 + -131 + (-4 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(6\/(-116)) - -2. Let t be 2*7 + 0 + 12 + -14. Calculate the highest common factor of h and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of c**3\/3 - 9*c**2\/2 - 9*c + 3. Let d be a(7). What is the tens digit of (d - 4)*2\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-352)\/(-440) + (-16)\/(-10) + -2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/136 and -8\/1210553.\nAnswer: 9684424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -5. Let r be 2\/(-3 - 21\/(-6)). Suppose -6 = -4*i + 5*y + 31, 3*y + 3 = -r*i. Solve 3*s - 2 = -4*v - f, 5*v - 2 = -i*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 2\/61261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 31*z - 4. Let l(c) = 155*c - 20. Calculate -2*l(w) + 11*n(w).\nAnswer: 31*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-51)\/68*-382 + 2\/4 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-146)\/4 + 507 + -477?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a. Suppose -5*f = 3*z - 1, 6*f + 2*z = 8*f - 10. Let g(u) = -3*u. Let j(i) = i. Let d(b) = -g(b) - 9*j(b). Determine f*d(m) - 7*k(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -u**5\/20 + 7*u**4\/12 - 5*u**3\/6 - 25*u**2\/2 - 2*u - 1120. Determine z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + -2)\/10*2. Suppose 34 = -3*n + 37. Is n less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(2\/5)*d*d*d**1*d)\/(d*(d**1*d)\/d)**(-2\/111))\/((((d\/d**(-1))\/d)\/d)**(-26)*((d\/(d*d*d\/(d**(2\/3)\/d))*d)\/d)**(-25)) assuming d is positive.\nAnswer: d**(-9971\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g + 19*g - v = 22381, 0 = 2*g - 4*v - 8938. List the prime factors of g.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 11. Suppose 3*j + 0*j + k - 13 = 0, -k - 17 = -3*j. Let t = 167\/636 - 2\/159. Which is the closest to 0?  (a) i  (b) j  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 88730.1 to the nearest 100.\nAnswer: 88700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 7*w + 8*w - 3*w + (-3 + 0 + 2)*(0*w + w - 3*w) - 3*w + w - w to the form b + a*w and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -7718*x - 216225. Calculate t(-28).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 138*x + 1 + 26.\nAnswer: -138*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -120795 - 256909. Suppose -y = 4*f + 119148. What is f rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26791 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301 is divided by 96.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18908269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q + 10 = q. List the prime factors of 1*((-3 - q) + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 11:40 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26416283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28\/33 - 2\/11. Let i = 10071 - 70495\/7. Which is the second biggest value?  (a) k  (b) 4\/7  (c) i  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -6*z + 86. Let v(x) = -4*x + 86. Let f(c) = -6*g(c) + 7*v(c). Let s be f(-10). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1242633 divided by 59173.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 817 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -558*-6.\nAnswer: 3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -29*t + 410\/3 + 1\/3*t**2 = 0.\nAnswer: 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 110, 176, 248, 326, 410?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -162500.\nAnswer: -11\/81250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2744.38 rounded to the nearest ten?\nAnswer: -2740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/492156 and -101\/63798.\nAnswer: 3445092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -76 - -54. Let g = b + 37. Let t = g + 3. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108491.4 take away -2.5?\nAnswer: 108493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2651.64393 and 2.\nAnswer: 2653.64393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12221220 (base 4) to base 2.\nAnswer: -110101001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -253 times -1?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g. Let n(q) = 29*q - 51. Calculate s(n(k)).\nAnswer: -58*k + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1100*l**2 - l - 1102*l**2 + l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 594997 + -111564. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 6 = d, 0*p - 2*p + d = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 4 - 22)*(-2*l - l - 2*l) + 2*l - 3*l + 0*l)*(4*l - 5*l + 0*l).\nAnswer: -69*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -12860?\nAnswer: 3\/12860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7725239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11027*u - 11058*u + 124 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of i**7\/14 + 51*i**6\/5 - 621*i**5\/20 + 26*i**4 - 18*i - 9. Solve w(u) = 0 for u.\nAnswer: -104, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23509349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 32*i**5 - 400*i**4 + 866*i**3 - 680*i**2 + 202*i - 20 = 0?\nAnswer: 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 + -3 - -3 - (3 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {m: 1, z: 2, k: 3, j: 1, p: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 55890858221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 70104.388 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 680 = -5*z - 1674, -3*z - k = 602. Let m = z + 790. What is the units digit of 5\/(-2)*m\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + -17 + -13 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/11 + 3738\/979?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 536 (base 15) to base 13.\nAnswer: 6c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.08 and -65325?\nAnswer: 65325.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 318\/5 - 4127\/70. Let s = 3\/1457 - -106307\/26226. Find the common denominator of s and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26500321357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-48)\/(-36))\/(4\/(-18)). Let n be (21\/6)\/(3\/u). Let r(i) = i**2 + 6*i + 2. Calculate the remainder when 14 is divided by r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8017330\/13 + -617355. Let v be 1 - -4 - 648 - -6. Let n = v - h. Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 161779, 323559, 485337, 647113, 808887?\n\"Answer: -z**2 + 161783*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from ccccdcmcmdddmc?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 345 - -1?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*m - 136794 = 0, -546*w + 548*w + 4*m - 91188 = 0. List the prime factors of w.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010101 (base 2) in base 5?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*u = -2, -2*i - 5*u = 21 - 10. Suppose 37 = i*b + 9. Let x = 121 + -113. Calculate the lowest common multiple of x and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {p: 1, w: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**2 + 14*o + 20. Let c be u(7). Suppose c*w - 24*w = 0. Solve w = m - 0*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) -6  (b) -4  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -91391 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-5)*230\/414. Let x = p + 1\/3. What is the closest to -5 in x, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3720\/(-41230))\/(2\/(-7)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1.56, 2, 1, -0.5, 1\/2, -1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2836*j**3 - 56322954*j**2 - 279643377240*j + 591629400.\nAnswer: -2*(j + 9930)**2*(1418*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 65*17\/(-255)*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 740368371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**4\/2 - 3789*v**3\/2 + 20783*v**2 - 15102*v - 37780 = 0.\nAnswer: -1, 2, 10, 3778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 365*w**2 - 10 - 135*w**2 - 144*w**2 - 86*w**2 - 98*w**3.\nAnswer: -98*w**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c*y**4 + 952*c*y**3 + 4*c*y - 8*y**3 - 269*y**2 wrt y.\nAnswer: -48*c*y + 5712*c - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {o: 7, s: 1, q: 1, f: 3, p: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 269.37 - 271. Let m = h + 1.3. Let r = -0.33000011 - m. Round r to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19*(-121)\/(-418)*-18\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54630 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.7  (b) -3  (c) -0.3  (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 45717 * 0.8.\nAnswer: 36573.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18174931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**3 - 82*x**2 + 2*x - 77. Let m be d(41). Solve -2*u + 12 = -4*w, -m*u = -3*u - 3*w - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 2*b - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -5519*o + 48. Let m(n) = -2760*n + 22. Calculate 6*d(p) - 13*m(p).\nAnswer: 2766*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3\/5 - 404*h**2\/5 + 137*h\/5 + 54.\nAnswer: -(h - 1)*(h + 135)*(3*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6162662 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 4. Suppose j*s - 4*s = -36. Let x(w) = -4*w + s*w + w**2 + 2 - 2. What is x(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 - (-24 + 10 + (-10 - -11))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/479759 and 5\/9732254?\nAnswer: 68125778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (98\/(-112))\/(3\/(-72)*-7*-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122519850 divided by -5326950.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 times 221348.74?\nAnswer: 6640.4622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -11*w**2 + 6*w. Let x(s) = -10*s**2 + 5*s. Let r(f) = -5*j(f) + 6*x(f). Let c(h) = -3*h. Calculate c(r(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1930, -1935, -1940, -1945, -1950, -1955?\n\"Answer: -5*y - 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 461 - 83115*s + 129*s**4 + 2*s**3 + 83115*s + 625 - 411 wrt s.\nAnswer: 516*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -45 + (-40 - -36) + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1051959207.\nAnswer: 3, 13, 1741, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*l**3*m**2*n**2 - 5*l**3 + 4714*l*m**2*n**3 - 26*l*m*n**3 - 9146*l + 2*m**2 wrt m.\nAnswer: 60*l**3*n**2 + 9428*l*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -33, -25, -1?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 673684 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -686974*h**3 + 5*h**2 + 10986.\nAnswer: -4121844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -15. Which is bigger: -7\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 - z**2 - 2*z - 2. Let q be d(-2). Let y be 10\/15 - q\/9. Put 2, -2, 4, y in descending order.\nAnswer: 4, 2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70756052 - -1?\nAnswer: 70756053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((36\/1053)\/(22\/18))\/(4\/22)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -633377 or -633378?\nAnswer: -633378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 5*c**2 + 6*c + 2. Let b be j(6). Suppose 5*s = -d + 109 + 2, 4*s + b*d - 90 = 0. Calculate the smallest common multiple of s and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 11 = -3*b, 3*b - 2 - 1 = 0. What is the hundreds digit of 115 + ((-2)\/4)\/(1\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (675\/(-2))\/(-9)*2. What is the tens digit of d\/6*(-18)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m + 26 - 40 - 6*m.\nAnswer: -m - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 5:52 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 3*y**2 - 3*y + 1. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from {y: 4, b: 5, u: 8, s: 2}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/1722292 and 75\/3146.\nAnswer: 18945212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -7422297730 to the nearest 1000000.\nAnswer: -7422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 18738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(2*(-1)\/2))\/((-9018)\/3340)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1679923 > -1679923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(4719)*-2)\/(sqrt(192)*1) + -3 + (sqrt(832) + -1)**2 + -1 + (0 + sqrt(832))**2)*-6.\nAnswer: -9954 + 225*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 3*y + 8, 2*y - 1 = -4*o - 3*y. Suppose -2*d + 10 = -0*d. Suppose d*p + 4 + 11 = 0. Sort p, o, -5.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1219 - 0.4219. Which is the biggest value?  (a) 0.4  (b) -27  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101142?\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3874440020.\nAnswer: 2, 5, 11, 29, 431, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1021611 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9 + 9)\/((-4)\/(-2)). Let o be d - (26\/(-24) - 7\/(-21)). Factor 0*g - 3\/4*g**3 + o*g**4 - 1\/4*g**5 + 0 + 1\/4*g**2.\nAnswer: -g**2*(g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 255 = -12887*m + 12902*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28564115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + f**2 + 5*f + 17. Calculate c(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -402 + r**3 + 402 - 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-3) + 85\/3. Let h = 47 + -33. Calculate the highest common divisor of z and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(-605)*(-2575)\/(-3605).\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8303367 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 356 or 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/5, -111, 1\/3, -94, -4?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4673 and 9?\nAnswer: 42057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42135277 is divided by 553.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + (sqrt(1008) - (sqrt(1008) + (sqrt(1008)*1 - sqrt(1008)) - sqrt(1008) - sqrt(1008))))*-3.\nAnswer: -3*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 21 - ((-14 - (-14 - -10)) + -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18\/55 in 2\/11, 0.3, -2\/31, 2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*j + 64*j = 5*j + 13668. Suppose -4*y = a - 3, 5*y + 4*a - 2*a = 0. Calculate the highest common factor of j and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 212, 304, 272, 116, -164, -568, -1096?\n\"Answer: -62*c**2 + 278*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57, -117, -181, -249, -321, -397, -477?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**4\/36 + 32*v**3\/9 - 22*v**2 - 2*v - 32. Suppose s(u) = 0. Calculate u.\nAnswer: -66, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28111 + 48644. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 * 305.7\nAnswer: -7031.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -5*x**8\/168 + x**7\/14 - x**5\/12 + x**2 - 4. Factor r(i).\nAnswer: -5*i**2*(i - 1)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1881, 3671, 5461, 7251, 9041, 10831?\nAnswer: 12621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 188408733*3\nAnswer: 565226199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 - 2 - 5)*(3 - 2 - 2) + 2277 + 2391 - 3964)*(3*h + 3*h - 2*h) to the form l + j*h and give j.\nAnswer: 2848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + x. Let p be a(4). Suppose -p + 0 = -5*i. Sort -0.2, i, 2, 0 in decreasing order.\nAnswer: i, 2, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 21. Solve x*v + 25 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -35515, -71375, -107235, -143095?\n\"Answer: -35860*y + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2575 and 689276.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2418.4 - -2053. Round y to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -185, 0.1, 1 in increasing order.\nAnswer: -185, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -11, 5, 2.\nAnswer: -11, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**2\/5 + 1334912*k\/5 + 445497511936\/5 = 0.\nAnswer: -667456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + -24. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of -n**4\/2 - 18*n**3 + n**2 + 54*n - 100. Factor v(i).\nAnswer: -2*(i - 1)*(i + 1)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 4*p - 8. Let t = -73 - -133. What are the prime factors of (p\/(-4))\/(1\/t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20\/128317 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/11  (b) 2  (c) -3  (d) -14\/51  (e) 0.06  (f) -0.1  (g) 1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -17 in descending order.\nAnswer: 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4716 - 4718. What is the nearest to -1\/2 in 5, w, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 9 = -8. Let q(h) = 6*h. Let b be q(f). Suppose 2*g**4 - 5*g**2 - 3*g**4 + b*g**2 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1053 is divided by 133.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -513, -478, -421, -336, -217, -58, 147?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 90\/(-150)*(5 - (1 - 1)). What is the closest to 2 in 1, b, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24938817 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 6 - 0) + 2 + (7 - 15 - -71)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*d - 67*d + 13*d)*(-d**2 - 2 + 2).\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1560000 = -8*m + 4*m. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1694099?\nAnswer: 11, 337, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/10)\/(8\/(-10)). Let k = 0.031 + -0.531. What is the closest to 1 in k, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-26)*18\/(135\/(-15))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 7. Suppose -2*j + 0 + 6 = 0. Let v be i(j). Let z(b) = -b**2 - 5*b + 2. What are the prime factors of z(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 246, -3\/8, 0, -0.3, 3?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.1 - -13.43. Let d = -0.37 - j. Let u = 6 - 7. Sort u, d, -3 in increasing order.\nAnswer: -3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + (10 - 3) - -10. Let s(o) = 7*o + 7. Let r be s(f). Suppose b + v - 105 = -3*v, b + 3*v = r. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 231326432 - 51?\nAnswer: 231326351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -5*y. Let n(c) = 2*c + 4. Give n(i(k)).\nAnswer: -10*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2585\/141 + (-16 - 3). What is the second biggest value in 25, 50, 0.1, y, 2\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1122)\/165)\/(2\/30). Let w = -308\/3 - r. Which is the second smallest value?  (a) 15  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25*i*m**2*z**3 - 7*i*m**2 + 2*m**2*z**3 + 2*m**2*z**2 - 18*m*z**3 + 63*m*z**2 wrt i.\nAnswer: 25*m**2*z**3 - 7*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -32, 31, 1 in decreasing order.\nAnswer: 31, 4, 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18325081*w - 191705088 wrt w?\nAnswer: 18325081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z**2 - 6*z - 1. Let t be n(-4). Let k be t\/(-9) - (-2)\/(-6). Find the second derivative of 6*h**2 + 3*h**3 - 3*h - k*h**2 wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -16 - 152. Solve 0 = 16*o - 2*o + r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 9*k**2 + k + 9. Let u(z) = -10*z**3 + 2*z - 1. Let c be u(1). Let w be a(c). Suppose 120 = 3*o - w*o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0.5, 12, -0.4, -3\/11, 2095, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-108.537\nAnswer: 43.4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 2  (b) 6  (c) 501  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 492493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 2:13 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4546 + 4550. Sort -4, -19, 1\/9, f in ascending order.\nAnswer: -19, -4, 1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3*c**3 + 64*c**2 + 282*c + 18. What is n(-4)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/11 - 62*y**2\/11 - 182*y - 1938\/11.\nAnswer: 2*(y - 51)*(y + 1)*(y + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - ((-120)\/(-38) + 0). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**3 + 32*q**2 - 10*q**2 - 9*q**2 + 137*q - 14*q**2 + 2 + 0 to the form f*q + l + c*q**2 + i*q**3 and give f.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 9, e: 5}. What is prob of picking 3 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2441?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 17. Let j = -207 - -149.9. Let l = j + 57. What is the closest to r in 0.3, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 58*y - 3. Let z(d) = 3*d**3 + 174*d + 10. Determine 7*j(o) + 2*z(o).\nAnswer: -o**3 - 58*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5926 is divided by 547?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/((-216)\/(4 + -1)). Let p(a) be the third derivative of 0 + 0*a + 2*a**2 - 1\/180*a**5 - q*a**4 + 0*a**3. What is u in p(u) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 3\/4  (b) 8\/5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(3\/2))\/x**(-5))**(-17\/2)*(x*x\/(x*x**(-2\/11)\/x*x*x)*x*x**4\/x)\/(x\/(x\/(x*x**(6\/11)))*x*x**(-4)) assuming x is positive.\nAnswer: x**(-1435\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1037*c**2 - 1036*c**2 + c + 137*c**3 + 0*c**3 - 3321 with respect to c.\nAnswer: 411*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4 + 0.3. Let z = 0.9 - c. Put -0.3, -3, z in increasing order.\nAnswer: -3, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and 12.0414.\nAnswer: 11.7414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 + 8*n - 6. Let s(u) = -u - 7. Let w be s(-6). Let p(q) = 26*q**2 + q + 1. Calculate the remainder when p(w) is divided by v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w**4\/5 - 31*w**3\/5 + 12*w**2\/5 + 31*w\/5 - 8\/5 = 0.\nAnswer: -8, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 - -24. Let x(r) = r - 1. Let m(s) = 14 - 30 + 16 - 12*s. Let u(c) = m(c) + 5*x(c). Let g(l) = 8*l + 6. Give y*u(n) - 4*g(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 5*j + 3. Let n be d(-5). Suppose 0 = 4*q - 8*v + 3*v - 32, n*q = -2*v + 24. Suppose 10*a = q*a. Let c(l) = -l**3 + 5. Give c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 1. Let d(t) = 3*t + 6. Let u(v) = d(v) - f(v). Let j(x) be the third derivative of -x**4\/3 - 7*x**3\/3 + 106*x**2. Calculate -4*j(c) - 11*u(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (116*p**2 + 119*p**2 - 6*p**2)*(-3 - p**3 + 3) + 0*p**5 + 0*p**5 - 3*p**5.\nAnswer: -232*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - -3 - -2 - (-279 + 266)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -334 divided by -334\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/1510480 and 63\/67593980?\nAnswer: 270375920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pz when two letters picked without replacement from pvvvvpqzrpopvqz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3002?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 830 + -829. Let y = -16 - -11. Let d = -5 - y. What is the closest to d in -2, -5\/6, h?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9295535057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 + 31. Let o be 12 + z + (-2 - 1) + 0. What is the greatest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276 is divided by 63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13035 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - s = 5*k - 1, 0 = -2*k + 3*s + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/3)\/((-1)\/(-6)). Suppose p + 11 = f*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 14. Solve -d - 3*r = -3*d - 17, b*d = -3*r - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -5*r**4\/2 - 1127*r**3\/2 + 121009*r**2\/2 - 2519277*r\/2 = 0.\nAnswer: -309, 0, 31, 263\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.17?  (a) 0  (b) -2\/353  (c) -1  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 41  (b) 10  (c) -1851  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jhuuuhuhjuhuuwu. What is prob of picking 1 j, 1 h, and 1 u?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -103*x + 3. Let p(s) = 3140*s. Determine j(p(f)).\nAnswer: -323420*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-8)\/42)\/((-22)\/(-99)))\/((-12)\/84). Let r(h) = 16*h - 40. Give r(b).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2686 + 2686 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-5))\/((-4)\/(-10)). Let w = v - -6. What is the remainder when (1 - 55)*w\/(-6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2230 and 939820?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 6 - 4)*(239*o**3 - 31*o**3 + 14*o**3) as y*o + n*o**3 + h + i*o**2 and give n.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00340814 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 1b28?\nAnswer: 1b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1750 and 102959640.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 14\/3, -4, -0.2, -6\/49, 0.04 in decreasing order.\nAnswer: 5, 14\/3, 0.04, -6\/49, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 614, 1053, 1502, 1967, 2454, 2969?\nAnswer: 3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + -1 + 2\/1. Suppose 0 = 3*p - 9, 2*f - p + 7 = 3*f. Find the second derivative of -2*y - 4*y**h + f*y**2 + 2*y**3 wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4682, 9371, 14060, 18749?\nAnswer: 23438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3475856, 3475532, 3475208, 3474884?\nAnswer: 3474560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 14*i - 28. Let n be z(17). Factor -24*j - 7 + n + 4*j**2 + 20.\nAnswer: 4*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 650707307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**3 - 4*z**2 + 6*z + 2. Calculate the lowest common multiple of 10 and f(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 588\/53 - 15720\/901. Let n = z + 506\/85. What is the biggest value in -1, 2, 0, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*o + 6 = 246 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 + 12. Sort 2\/17, 2, p in ascending order.\nAnswer: p, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 464?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 38 - 51) + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 t, and 1 o when four letters picked without replacement from ollto.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 = -3*p + 128 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.18 - 2.7.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -4 + -4 + 1 + -12 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1*86275\nAnswer: -86275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -k**4\/66 - k**3\/33 + 6*k + 1. Let u(p) be the first derivative of t(p). Factor u(x).\nAnswer: -2*x*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11356199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 6:25 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + 0*b**2 - b**2)*(385665*b + 385660*b - 181 - 771337*b).\nAnswer: 24*b**3 + 362*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -28, -32, -12, 44, 148, 312, 548?\n\"Answer: 2*v**3 - 18*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1700) + sqrt(1700) + 2 - sqrt(1700)*2*6)*-4)**2.\nAnswer: -6400*sqrt(17) + 2720064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 265, 457, 653, 853, 1057, 1265, 1477?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 543244 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13949976683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -d**3\/9 + 12679*d**2 - 1073705513*d\/3 - 1957173132355\/9 = 0.\nAnswer: -595, 57353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-10))\/((-4)\/10). Let d be (-1 + (0 - -2))*0. Solve c*g - 3 - 6 = d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bsglwbsbslbsblwl. Give prob of picking 2 w, 1 g, and 1 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*b**3 - 1015*b**3 + 38*b**3.\nAnswer: -1146*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -1001*q**2 - 4453*q - 3. Calculate x(-4).\nAnswer: 1793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwwwuuwwwuwww?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 9*m - 8. Let h(o) = o**3 + o**2 + o + 1. Let u(w) = w - 2. Let t be u(0). Let q be h(t). Let s be v(q). Solve 4*l - l = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-5)\/d**5*(d\/(d\/d**(-1))*d*d)**(10\/3) assuming d is positive.\nAnswer: d**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - v + 0*v)*(0 - 3 + 2) + 44*v - 19*v + 35*v.\nAnswer: 62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33 and 2497.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.104740874 rounded to 4 dps?\nAnswer: -1.1047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -17658*-0.4\nAnswer: 7063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 8*d = -53900. Round d to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - (15 + 0)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -143732093.87 from -1146.\nAnswer: 143730947.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 111940212*f**2 - 501547908*f wrt f.\nAnswer: 223880424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2361369, -2361436, -2361503?\n\"Answer: -67*l - 2361302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00818710886 to seven dps.\nAnswer: -0.0081871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2 + 78*k + 77. Let s be h(39). What is the derivative of s*q**3 - 18 - 63 - 31 wrt q?\nAnswer: 231*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 8:35 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 219486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5692291643 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 149 - -25. Suppose -3*g + 2*m + 785 = 0, 9*m = -54*g + 55*g - 270. Calculate the greatest common factor of g and r.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2 + -2*(0 + sqrt(1900) + -4 + sqrt(1900) + sqrt(1900) - sqrt(1900)) + -2)**2.\nAnswer: -240*sqrt(19) + 30409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 9*f + 2. Let u be k(-2). Let x = -10 - u. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 2\/5, 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 11:03 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-10))\/(4\/(-6) - (-1287)\/1404).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/4 and 31\/402?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -i. Suppose i*j + 4*j = 20. Is 3 a factor of 8 - j - 4\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 4*d - 4. Let o be i(-5). Suppose -61*r + 72*r = 495. Let k(b) = -1 - r*b**2 + 29*b**2 + 24*b**2. Determine k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + -3b?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -194*y**2 + y + 6. Calculate q(1).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 - 1794*l + 1794*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -21212 (base 3) to base 12\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*v + 4*i = 596, 554 = 2*v - 3*i. Is 281 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uv when two letters picked without replacement from {v: 4, n: 1, t: 2, u: 6, h: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 608 = -7*x. Suppose d - 5*d = x. Let z = -6 - d. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-6) + 3\/(-6). Suppose 0 = -4*j + 4*r + 68, -3*j + r + 0*r + 49 = p. Suppose -43 - j = -o. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 379*r - 89*r**3 + 978*r - 452 - 2524*r**2 + 1165*r**2 - r**4 + 544*r**3 + 0*r**4.\nAnswer: -(r - 452)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 9*t**2 + 4*t + 31. Let r be h(8). Let w(m) = -m + 1. Let l(f) = -65*f + 52. What is r*l(n) + 52*w(n)?\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1.640421 * 0.6\nAnswer: 0.9842526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33 - -23) + (-4 - 18 - -16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 2*a**2\/9 + 32*a\/9 - 38\/3 = 0.\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**5\/30 + t**3\/3 - 5*t**2 - 17*t. Let k(f) be the first derivative of a(f). Factor k(b).\nAnswer: -2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56 - 56 - 51 - 872*w + 164.\nAnswer: -872*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1039 is divided by 262?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 125, 3.\nAnswer: -2, 3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8.56 - -1.04. Let z = -6 + a. Let t = -4 + z. Sort 5, 1, t in descending order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -69*n**3 + n**2 - n - 2. Calculate the remainder when g(-1) is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -21\/863, -2, -5, 341?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74349107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -0.418\nAnswer: -2.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c**3 + 85*c**2 + 124*c + 54. Calculate the remainder when g(-41) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 2:05 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000101 + -101?\nAnswer: -10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8677\/408 - -7\/408. Calculate the common denominator of l and 42\/20*(-200)\/88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 + ((-8)\/12)\/(6\/(-9)). Let c(a) be the first derivative of -15*a**4\/4 - 11*a**2\/2 + 11*a - 42. Let f(p) = -4*p**3 - 3*p + 3. What is n*c(h) - 22*f(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/972 - -3863\/4860. What is the closest to -2 in 39, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36802491 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132) - (sqrt(132) + sqrt(132)*-1 + sqrt(132)))*3*1)\/(sqrt(132)\/(sqrt(11) - ((sqrt(132)\/sqrt(4))\/sqrt(3) + sqrt(11)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5780526218.\nAnswer: 2, 17, 19, 470957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 24 = -138. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 15 = -s - 5*i, -3*s + 4*i + 34 = 0. Let n(b) = 16*b**2 + 16*b - 20. Let z be n(s). What is z rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13159, -13148, -13131, -13108, -13079?\nAnswer: -13044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 AM and 9:03 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 4:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 0.3, 1474, -0.48, -4\/3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -15325 (base 12) to base 15\nAnswer: -8c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -13\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -32 - -30c?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -670868 + 670868 - 10053*h**3 + 3*h**2.\nAnswer: -10053*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44432519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 96245.03 decades?\nAnswer: 962.4503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37180114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 3 = -v. Suppose -5*o + 0 = -v. Solve -4*g = -o*j + 2 - 0, 5*g - 4 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16562698?\nAnswer: 2, 1321, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 2 - 2)*(0*m**2 + m**2 - 5*m**2) to the form t*m + y*m**2 + b and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 0 - (3 - (4 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, 3\/4, 273, -5\/17, -1, 0?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from njmmun?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 778, 798, 832, 886, 966?\n\"Answer: q**3 + q**2 + 10*q + 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o + 6. Let f be y(-2). Suppose -f*r - 3*b = 3, 4*r + r - 4*b - 50 = 0. Suppose a - 4*d = -7*d + 6, 3*d - r = 0. Is a at most -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 21 = 5*f. Let m(h) = h**3 - 7*h**2 + 2*h - 9. Let a be m(f). What is the second derivative of -5*r**2 + a*r + 2*r**2 + r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.69785227 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -1\/4*g**4 - 3\/2*g**2 + 127*g - 26 + 1\/3*g**3. What is the tens digit of n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(325) + 5)**2 - sqrt(325) - (sqrt(325) - 1*sqrt(325))*-2.\nAnswer: -205*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7427 + -5?\nAnswer: -742c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 438495 and 10.\nAnswer: 876990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3170380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -3, 103.\nAnswer: -3, 0, 1, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32721 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/(-12)*3\/(-1). Suppose -3*s = -7 - u. Suppose 3*x + x - 660 = 2*c, 2*x - 342 = s*c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 1245 = p, p - 1245 = -0*p - 5*m. List the prime factors of p.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*o**2 + 4*o**2 - 1 - 1 - 3*o**2 in the form d*o**2 + w*o + n and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6*2\/(-126) + 59661\/1323\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67249212?\nAnswer: 2, 3, 17, 71, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -12*z**3 + 41*z**3 - 16*z**3 - 17367*z + 6131*z - 17*z**3 - 424*z**2 = 0.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwnnw. What is prob of sequence wnwb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n**2 - 2*n + 1. Let b(i) = -i**2 + 5*i + 1. Let t be b(5). Let k be j(t). Suppose 81 + 73 = k*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73962\/189 + 4\/6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334*c - 150*c = 260544. Calculate the lowest common multiple of 590 and c.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 44*d + 131. Calculate a(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 127235*z + 90289 wrt z.\nAnswer: 127235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30 + 16. Let x = -14 - f. Put 4, -0.2, x in ascending order.\nAnswer: -0.2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007508369 rounded to six decimal places?\nAnswer: 0.007508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.817 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1786.96907 to the nearest ten.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -10397.5*11.5\nAnswer: -119571.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1309 + 1319 - (2 - -6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 150 + -94. Calculate the greatest common divisor of d and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6, -27 in descending order.\nAnswer: 6, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -v + 13, 0*v + v + 2*s = 4. Put v, -60, -3, 2 in decreasing order.\nAnswer: 2, v, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**5\/60 - y**4\/6 + 5*y**3 - y**2. Let x(o) = -2*o**2 + 187*o + 189. Let v be x(-1). List the prime factors of g(v).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away -35083?\nAnswer: 35082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pn when two letters picked without replacement from cccpnmfcmpcccmpnmmm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5900282 and 1334.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1125298665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3*n**2 - 8*n - 36. Is m(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*x + 11*x + 5*i - 15, i - 3 = 0. Suppose x = 6*u + 10 - 148. Solve -4*j = u - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -10*y**2 + 7*y + 6. Let c(o) = 10 - 1 - 2 - 6 - o**3 - o**2. Let w(n) = c(n) - l(n). Let r be w(8). Solve -r*q + 5*q = -z + 7, 4 = z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 43, 58, 49, 16, -41?\n\"Answer: -12*y**2 + 51*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5210.754 rounded to the nearest 10?\nAnswer: -5210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7637 and 0.2?\nAnswer: -1527.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 384\/144 - (-47)\/(-3). Let l = 20 + h. Solve 0 = l*m - 10 - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/169?  (a) -2\/7  (b) -5  (c) -2\/33  (d) 0.2  (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - g**2 - g + 2. Let c be d(0). Let w be 2 + -2 + c + 1. Suppose k - 8 = -6*o + w*o, 0 = -4*o - k + 10. Solve 2*y + 4 = o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10043594 divided by 19849?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17.2 * 2.\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*k + 11*b - 6*b - 5697894, 5*b = 4*k - 990897. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r = 2*r + 81 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 32 + 3. Let w be 2\/(-7) - (-815)\/g. What is w rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -331039610 divided by 66207922?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 29364?\nAnswer: 58728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 6*j - 9*j. Suppose -49 - 61 = -11*c. What is the remainder when c is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, n: 5, o: 3}. What is prob of picking 1 n and 1 r?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 0 - 11) + (2 - 7 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5979 is divided by 260.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1140)\/18)\/10 + 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -734*k = 139*k + 21825 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of f**4\/54 - 4*f**3\/27 + 4*f**2\/9 + 10*f. Suppose j(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -260812 divided by -18\nAnswer: 130406\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00130838622 rounded to seven dps?\nAnswer: 0.0013084","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 16*t**2 - 18*t - 1. Let a be p(17). Let j be a\/(-54)*12*1. Suppose j*m - 2*v + 2398 = -m, m = -3*v - 483. Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z + q + 109 - 41 - 84, -5*z = q - 56 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from kckkccvkcc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 9*(-42)\/(-2079)*-2\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9adb (base 15) to base 8.\nAnswer: 100077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100010111 - -1110000111?\nAnswer: 10010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 80352554 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*f**2 + 104*f**2 + 99*f**2 + 103*f**2 - 403*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17.51 * 342.\nAnswer: -5988.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b + 2. Suppose 54*p = 44*p + 60. Suppose -6*a - p = -8*a. Let v(u) = -u - 3. Calculate a*x(y) + 2*v(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 2 = -5*g. Let q(d) = -d**3 + d**2 + d + 2. Let a be q(g). Let k(s) = 2*s - 6. Let z be k(5). Solve a*n + z = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tqyqytytydyyydyqy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 117. Let f(q) = -q**2. Determine f(t(k)).\nAnswer: -k**4 + 234*k**2 - 13689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 932076407 + 84*a**3 - 932076407 + 136*a**3.\nAnswer: 220*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*b = 0. Suppose 3*w + w = b. Suppose 4*a = -25 - 3. Put w, 5, a in descending order.\nAnswer: 5, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11417\/15766542 - -1\/6858. Let t = u + -94283\/27588. Find the common denominator of 71\/10 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 43 - 31b416?\nAnswer: -31b393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5580 and 55?\nAnswer: 61380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -0.414.\nAnswer: 4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5083 is divided by 1016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -559*m**4 - 17*m**2 + 16161*m wrt m.\nAnswer: -6708*m**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8386700?\nAnswer: 2, 5, 7, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 171 - 99. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 173.444993 from 9.\nAnswer: -164.444993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.273 - 0.133. Let l = r - 0.04. Round l to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-1\/3)*b*b**2)\/(b**(1\/8)\/((b\/b**2)\/b))*b**(-2\/9)\/(b**(-2\/15)\/b*b)*(b**0*b)\/((b\/(b*b**5)*b)\/b*b) assuming b is positive.\nAnswer: b**(2323\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 5:33 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2510818817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from ddxddxx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {i: 13, s: 2, w: 1, r: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 41 + -33?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*v - 2*n + 10, 2*n = -4*v - 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -913 - -906. Let m(t) = -5*t**3 + 16*t**2 + 18*t + 12. Let x(b) = -3*b**3 + 11*b**2 + 12*b + 8. Let y(g) = 5*m(g) - 8*x(g). Determine y(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 479, 499, 533, 587, 667, 779?\n\"Answer: n**3 + n**2 + 10*n + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -21340\/3 greater than -7113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57232?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*6\/(-147) - (-132)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.3224108 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 3*n + 765. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, h: 2, d: 1, m: 13}. What is prob of picking 2 j?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 10*t**3 - 1413*t**2 + 3194*t + 406. Calculate n(139).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1160487.3 rounded to the nearest ten thousand?\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 355290\/5 + 1 + 2. Suppose 3*b + 3*m = y, 2*b + 2*m = 5*b - 71061. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (9 + 0 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11094?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -10. Let o = 469 + -230. Suppose 2*r + o = j*t - 63, 2*r - 282 = -4*t. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10698620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1829, -1868, -1907, -1946, -1985, -2024?\n\"Answer: -39*w - 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 1440 - 2490 = 0. Let n = q - -1007. Round n to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 145  (b) 0.0394  (c) -3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -5*l - 2*v, -4*l - 6*v + 2*v = -8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50778 and 20777967.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 82195*a**3 + 3*a**2 + 16163*a.\nAnswer: 493170*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 822\/2 + (14 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of 3*r**2 - 20. Let c(o) = o**2. Calculate c(k(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v - 465384 = -465372, 2*x - 99 = 5*v for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -46*w**2 - 1227*w - 6434415?\nAnswer: -92*w - 1227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -886, -4131, -9732, -17689, -28002, -40671?\n\"Answer: -1178*r**2 + 289*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*j - 24. Let a = -3 - j. Let g be (-14)\/a + (-12)\/(-30). Is g greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -215991452, -215991451, -215991450?\n\"Answer: p - 215991453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -398 smaller than -35789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 5184.82 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*h - 15*h = 3. Suppose -c = -h*w + 28, c + 30 = 4*w - 4*c. Calculate the remainder when 68 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 25*l + 5. Suppose 0 = 2*x - 8 + 4. Suppose x = -3*m + 11. Is 20 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (180\/25)\/4*(-20)\/(-6). Differentiate 6 + n*l**4 - 17*l**4 - 5*l**4 + 9 with respect to l.\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17467 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 9 - 18)*(12 - 7 + 15)*(5*l - 3*l - 3*l) + (-5 - 2 + 5)*(2*l + 0*l - 4*l).\nAnswer: 244*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 14*d + 10*d + 8482, 5*u = 4*d + 8498. Is u a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - -412173.\nAnswer: 412180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 20*x**2 + 21*x + 5. Let p be y(-21). What is the third derivative of -5*s - 42*s**2 + 0*s**p + 44*s**2 + 3*s**5 + 12*s wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3 + (-1 + sqrt(1100))*6 + -3 + 4*(sqrt(1100) + 2 + sqrt(1100)) + 3.\nAnswer: 2 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 4*j - 4 = 0, -33*j + 5 = -3*v - 28*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 42948251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 73.5 and 22472617.\nAnswer: 22472690.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11563?\nAnswer: 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1080 by 5.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l + 37 = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + o + 498 = -181, -2*r + o + 274 = 0. Is (392\/70)\/(3\/r) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 23*a**2 + 25*a - 3. Let z be b(17). Let u = z + 2390. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -4180 + 27645. Does 38 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 150 and 18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 45570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -116791066, -233582132, -350373198, -467164264, -583955330?\n\"Answer: -116791066*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z**2 - 67806*z. Let g(y) = -3*y + 21. Calculate v(g(j)).\nAnswer: -18*j**2 + 203670*j - 1424808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -38.37476*0.05\nAnswer: -1.918738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2)*1 + 3 - (sqrt(50)\/sqrt(5))\/sqrt(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250*n - 8388 - 3612 = 0 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 111 + -54. Suppose -2*s + 4 = 3*x - 12, -2*x = -8. Suppose -s*l = l - a. What is the remainder when 151 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 + 21*a**2 - a - 91. What is the thousands digit of h(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.5 - -7. Let t = a - -10.5. Let x = t - 11.22. Round x to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688901 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: Suppose 0 = 22*s - 20 + 108. Let k = -0.08 - -0.38. What is the smallest value in k, -1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 21*q**2 - 22*q - 45. Let b be y(-20). Let h be (0 - 2) + 5 + -30. List the prime factors of h\/45 - 293\/b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3867996850 to the power of 1\/3, to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*d**2 + 29*d - 29*d)*(94 - 401 - 449).\nAnswer: 9072*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -p**7\/14 + 3*p**5\/20 + 7*p + 4. Let i(n) be the first derivative of j(n). Factor i(g).\nAnswer: -3*g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7\/2 or -244?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5857*v**2 + 19270*v**3 - 19272*v**3 + 5868*v**2.\nAnswer: -2*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -259399*z**3 - 75528*z**2 + 2*z wrt z?\nAnswer: -1556394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-85)\/20)\/((-1)\/4). Suppose -2*r + 26 = 4*a, 2*r + 3*a = 4 + u. Suppose -3*m - 6 = -3*h - 2*h, -5*m = -r*h + 10. Sort -2\/9, m, -4 in ascending order.\nAnswer: -4, m, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 70, 1\/6, 0.79, -4, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 70 = 2*g - 183, 0 = -4*g + 5*x + 495. Calculate the remainder when g is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + -2 + -3 + (-20151)\/51. Let y = i + 399. What is the second smallest value in y, 0.05, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 4:44 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/(-110)*5\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7237.00633 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q**2 - 3*q**2 + 0*q**2)*(334 + 474 + 70 + 1414).\nAnswer: 4584*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 PM and 11:20 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32.4 + -424.8. Round b to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75154502 (base 8) to base 10.\nAnswer: 16046402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/5  (b) 6  (c) -5\/4  (d) -0.0606\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (-12)\/3 - 1. Suppose n*y = 718 + 552. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83\/8 != -3\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2328 = -4*z - 3*i - i, 4 = -2*i. Suppose 2*u + 3*c - 390 = -78, 0 = -4*u + 4*c + z. Suppose -3*o = -8*o + u. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 289 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 85.13 + -89.5. Let b = a - -4.07. Let d = -0.3 - -0.8. What is the closest to 0.3 in 0.3, d, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 28, 8, -12?\n\"Answer: -20*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135331 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 + 1628\/232 + 1. Let m = y + -15\/29. Sort m, -0.3, 0.1.\nAnswer: -0.3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1679 + 1344 - 50*z + 30*z in the form f*z + q and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 49*v**2 + 100*v - 102. Let d be k(-51). Is d less than or equal to 2\/8565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134214 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 11*z + 332. Determine l(-6).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*w + 17. Suppose -w*k - 2*a - 18 = 0, -2*a - 4 + 0 = -2*k. Let r be (k\/6)\/(24\/(-18)). What is the nearest to r in -5, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-24)*-3)\/((-2)\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-22)\/121 - 9\/11 - -3. Let v(z) = -z**2 - 2*z**t + 0*z**2 + 6*z**2. Let a(p) = 5*p**2. Calculate a(v(c)).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**2\/4 + 2783*f\/2 - 5567\/4 = 0 for f.\nAnswer: -5567, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 636 and 10388.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*t - 209*t + 30 = -5*f, -14 = -f + 4*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 7*j**2 + 57*j + 17. Let i be k(-8). Suppose -16 = -i*d + 5*d, -2*n = 4*d - 496. Calculate the highest common divisor of 30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z**2. Let i(o) be the first derivative of 0*o + 1\/24*o**4 + 0*o**3 + 7 + 5\/2*o**2. Let x(p) be the second derivative of i(p). What is r(x(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7107, 7120, 7139, 7164, 7195?\n\"Answer: 3*y**2 + 4*y + 7100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of 13*r**3\/3 + 1593. Let k(o) = 0*o + 0*o + o. Determine k(m(s)).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 6 = 2*j, 3*k + 0*k - 16 = 4*j. Let h be j + -7 - (1 + (-8 - -4)). Let v be ((-2)\/h)\/(17\/85). Solve y = -5*i + 3, -3*y - y + 12 = -v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53169 - -17753. Let k = x + 3541559\/100. What is the common denominator of k and 18\/(-3) + 125\/(-20)*2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 858022897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*f - 7 = 0, 5*c - 3*f = 11 + 6. Suppose -75 - 1 = -c*n. Let u = -39 + 108. Calculate the remainder when u is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12143*i*p**2*x*y - 2*i*p**2*x + 3*i*p*x**2*y - 15*i*x*y + p**2*x**2 + 2*p*x**2*y - 5*p*x**2 - 20*p*x wrt p.\nAnswer: 24286*i*x*y - 4*i*x + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*d - d. Suppose s - 4*x - 22 = 0, d = 2*s - 3*x - 15. Solve -5*p + 35 = s*w, -3*w = -4*p + 3*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 = 8*l + 22. Let h = -55 - l. Let p = 40 + h. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 736 + -727. Is 100\/13 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 6*o**4 - 132428374*o**3 + 662141834*o**2\/3 - 308999518*o\/3 + 44142788\/3 = 0.\nAnswer: 1\/3, 1, 22071394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/9  (b) 1\/86  (c) 0.4  (d) 345  (e) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*c + 56 = 290 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1638 and -0.32374?\nAnswer: 1637.67626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 1:18 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 26*w**3 - 3*w**2 - 9*w - 5. Let s be g(-1). Sort -1, s, -3, 2.\nAnswer: s, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -30080*n**4 - 95094 wrt n?\nAnswer: -120320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80092371?\nAnswer: 3, 23, 47, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -10*q**2 - 30*q - 34. Calculate r(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvhvmvthtvmcjvjjtjj. Give prob of picking 1 c and 1 v.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -4, 0.4, -1.6, 1\/536?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 AM and 7:02 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 407 + 3?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 1 + (1 - 3 - 1)*(12 + 3 + 4))*(1 + 2*u - 4*u - u) as k*u + y and give k.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -4*t - 3, 0 = -0*t - 2*t + 4*v + 2. Calculate the remainder when 53 is divided by 36 + -25 - (-2 + t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1174 and 1.5?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 3*q, q + 5 - 3 = -o. Let x = o - -13. Let l = -11 + x. Solve 4*f = -t - 2 - l, 3*f = -4*t + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (27\/6)\/(2\/12). Let m(p) = -p + 5*p + p**2 + 2*p**2 + 3. Let s be m(-3). Calculate the highest common divisor of s and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -269234*a**3*s - 12*a**2*s - 13*a*s + 56*a wrt a?\nAnswer: -1615404*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {z: 4, c: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-6) - 60\/(-72). What is the closest to l in 1\/2, 5, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (42 - (2 - -36)) + (-1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -5*i**3 - 5*i**2 - 3*i. Let u = -5 - -6. Let m = 1 + u. Let v(z) = -38*z - z**m - z**3 + 38*z. Give -h(d) + 6*v(d).\nAnswer: -d**3 - d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.59906093 and -0.2.\nAnswer: 0.39906093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j - 13*j - 11*j)*(-51 - 19 + 3 + (1 - 2 + 3)*(3 - 2 - 2)) as z*j + i and give z.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.3 + -3.7. Let x = -6 - p. Let q = x + -4.99999904. Round q to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 12 = 2*v. Suppose -99 = c - v*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2383\/2 - 1192. What is the nearest to k in -2, 12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r - 1537 = 7*r + 5*f, -3*r + 2340 = 4*f. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 218 + -311. Let r = x + 652\/7. Find the common denominator of -37\/4 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12.647 + 8.088. What is b rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.9 - 3.1. Let o = z - -3.99999996. What is o rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-52)\/8) + 352\/(-416) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/3430 and -23\/904148.\nAnswer: 4520740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b8 (base 13) in base 9?\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (10\/8)\/((-11)\/(-38148))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2 = 4*j + 386, -5*j - 112 = -z. Suppose 0 = -15*b - 11*b + 494. What is the remainder when z is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 0.1, 370, 0.3.\nAnswer: -5, 0.1, 0.3, 1, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -561 - -792. Suppose 5*m - 119 = q. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12113 - -323022?\nAnswer: 340140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2172 = 153. Suppose -5*a + 5*w + d = 0, -a - 7*w = -3*w - 175. Let x = a - 68. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11605 + 11600. Which is the second smallest value?  (a) o  (b) 36  (c) -2\/7  (d) -2\/41  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*7\/(-126) + (-42)\/(-9). Let m(q) be the second derivative of -n*q + 2*q**2 - 1\/3*q**3 - 1\/6*q**4 + 0. Let m(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 - 168*m + 170.\nAnswer: -2*(m - 1)*(m + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -72, 73, 2 in descending order.\nAnswer: 73, 3, 2, 1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 437 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181327073.\nAnswer: 181327073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-40)\/(-90) + 4\/(-9). Suppose 5*u + z*u = g + 29, 0 = 3*u - 4*g - 31. Sort u, 3, -0.4.\nAnswer: -0.4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/5411700 and -37\/7920?\nAnswer: 238114800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -17. Solve g = z - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 133 - 133. Let g(d) be the third derivative of 0*d**5 + o*d + 0*d**4 + 0 + 2\/3*d**3 + 0*d**6 - 5*d**2 - 1\/210*d**7. Differentiate g(q) wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5*x + 2*q - 60, 5*x = -3*q - 75. Let u be 1 + -3 + (-24)\/x. Suppose 2*w - 2 = 2*p, 3*p + 5*w + 3 = 8. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59423969 to the power of 1\/2, to the nearest integer?\nAnswer: 7709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.23, -1, -13, -0.3, -0.1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 239063 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -1\/7, -1\/4, -8635?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 41 - 925 = 0. Suppose 6*c = -0*c + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*w - 448 = 144*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19627\/10 - -4017\/2. Let a = -46 + c. What is the nearest to -1 in -0.1, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -20, 8*t + 3*t = -4*t - v - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56685?\nAnswer: 3, 5, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.074362 rounded to 2 dps?\nAnswer: -26.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 935 - -4\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 591821896?\nAnswer: 2, 73977737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9572 or -1821?\nAnswer: -9572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -31, -73, -111, -133?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -8*l + 1. Suppose 0 = -4*u + 13 - l. Solve 0 = -2*i - u*q + 4 + 3, 11 = -5*i + 2*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -70086 from -1.\nAnswer: 70085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -53*b**2 - 25 - 248*b + 26 - 77. Differentiate o(q) wrt q.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2122704 rounded to the nearest 1000?\nAnswer: -2123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -14, -46, -112, -224, -394, -634?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -285727, -285726, -285725, -285724, -285723?\nAnswer: -285722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 971, 0, -9, 3 in descending order.\nAnswer: 971, 3, 0.5, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (-1 + (-114 + 112 - (-3 - -5 - -1)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/(-9))\/((-26)\/(-156)))\/(20\/165).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(6\/19)))**(-1\/29) assuming s is positive.\nAnswer: s**(6\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**3 - 7*g**2 - 6*g - 25. Let p be t(11). What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/(16\/6))\/((-37)\/(-2220)) and 38\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*m**3 - 2*m**3 + 5*m**3)*(-4*m + 3*m - m + (-1 + m + 1)*(-1 + 1 - 2)).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*p + 2*p + 0*p + 4*p + 5*p + 1264 as s*p + v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*y - 235 - 845. Suppose -y*w + 77*w = -6812. What are the prime factors of w?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2152 and 290520?\nAnswer: 290520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 1459*o - 379331. What is h(260)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (103 - 82 - 12) + (-3 - (-38 - (-2 - 2))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 5*n = -213020, 7*v + 4*n + 1065184 = 2*v. Let j be 6\/(-6393)*(v\/45 - 1). Let x = 2\/6393 + j. Find the common denominator of -2 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 42*h - 27*h - 193 + 52 - 76. Let r be w(15). Suppose -4 = -3*c + 2. Calculate the highest common divisor of r and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 7*c**2 + 3*c + 2. Suppose 5*h = -5*m + 50, 1 + 9 = -3*m + 5*h. Suppose 2*i + 39 = 5*q + 5*i, -m*i - 15 = -5*q. Determine j(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 equal to 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence duu when three letters picked without replacement from {p: 1, y: 2, d: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -152852 take away -0.3?\nAnswer: -152851.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of f*q**3 - 182*f*q**2 + f*q - 599*f wrt q?\nAnswer: 3*f*q**2 - 364*f*q + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from kkkrmrkkkk?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 486162?\nAnswer: 1944648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -6*n + 4*s - 7, 2*s = -5*n + 23. Suppose -10 = 4*d - 5*b + n*b, -3*d = -5*b + 11. Is (-1 - d)*(-6 - -1055) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 8*s**2 - 6*s + 14. Let r be (-14 - -7)\/(0 + 1). What is the remainder when 25 is divided by x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.31766mm in micrometers?\nAnswer: 53317.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-2) - (29 - 26)*(-10)\/12. Solve j*n + 12 = -4*a, 22 - 28 = -3*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -147, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 11:31 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 9*o + 8 = 0. Suppose -o*c = -0*c. What are the prime factors of 9*3 - (c - -1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24.3 - -23. Let u = -0.3 - o. Let s = -245.071 - -245.231. What is the second smallest value in 2, 0, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 26.08804l?\nAnswer: 26088.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34 - 23544\/(-702))*-7?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 - 126. Let i(d) = -294. Let a(s) = 3*i(s) - 7*p(s). Let b(v) = -1171*v**2. Calculate a(b(x)).\nAnswer: 9598687*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18510369?\nAnswer: 3, 6170123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000008441569 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -7. Let u be 68\/(-7) - w\/21. Let c(y) = y**3 + 9*y**2 - 11*y - 5. Does 2 divide c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 20772?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4931661046 to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - -1)*(-12)\/(-8). What is the derivative of 0*m**2 - 19 - 4*m**2 + 98 + 25*m**2 + v*m + 35*m**2 wrt m?\nAnswer: 112*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241336 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -36*z. Let t be 30\/(-4)*(-3 + 1). Let f(q) = -q**2 + 15*q - t*q. What is b(f(u))?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -506, -4240, -7974, -11708?\n\"Answer: -3734*q + 3228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -107 divided by -48?\nAnswer: 107\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {y: 7, v: 1, d: 4, t: 2, j: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16600 and 12450?\nAnswer: 49800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*p + 16*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20583 by -6861.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -17*d*i - 44*d*j**2 - d*j + 12*i*j**2 + j**2 wrt i?\nAnswer: -17*d + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 - -20. Suppose 3*c = -3*i - 753, 0*c + i = -5*c - 1247. Let x = c - -251. What is the remainder when r is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 6*y + 87. Let h(v) = -2*v**2. Give h(c(f)).\nAnswer: -72*f**2 - 2088*f - 15138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 AM and 5:40 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 743*g = -4*v + 382*g + 364*g + 27, 2*g + 19 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*u**3 - 80*u**3 + 182*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1877\/34 < -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 8:05 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 0*c - 6*c)*(c + 0*c + c) + (2*c + 35 - 35)*(0 + 0 - 6*c).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 36, 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -16, 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -5) + (4 + 0)\/(-2). Let y be -424*o*(-5 + -245)\/(-1). Round y to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24552.78995 rounded to the nearest integer?\nAnswer: -24553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*i + 10, -7 = -3*i + 8. List the prime factors of (-5)\/(-2)*d\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -13*s + 10*s. Calculate the remainder when 52 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2*k**2 - 109*k + 167. What is the remainder when 189 is divided by w(-55)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2329829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -154*v**2 + 2*v + 12.\nAnswer: -2*(7*v - 2)*(11*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 61, 109, 181, 283, 421?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19438263 and 6452.\nAnswer: 77753052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**3 - 556*p**2 + 560*p = 0. Calculate p.\nAnswer: -140, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 149 + -147. Find the second derivative of -13*h - 8 + 14*h - 2*h**2 - o*h**3 + 4*h + 0*h**3 wrt h.\nAnswer: -12*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/18792 and 131\/27342?\nAnswer: 28545048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/97, -4, 3\/2 in descending order.\nAnswer: 3\/2, -2\/97, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.80132 nanograms to kilograms.\nAnswer: 0.00000000006480132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2155467 is divided by 3416?\nAnswer: 3387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/118 and 11\/481640?\nAnswer: 28416760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of 5*i**3\/3 - 2*i**2 + 12*i. Let f(h) = -2*h + 1. Calculate -11*f(c) - 2*v(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*t = -3*y + 120*t - 2844, -4*y = -t + 3792. Are y and -947 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270 + 57\/2*n**2 - 1\/2*n**3 - 76*n = 0.\nAnswer: -2, 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 462 + -460. Solve -2*m - y*v + 0*v - 2 = 0, -3*m + 5*v = 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rzjli?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10275577 (base 8) in base 9?\nAnswer: -4114014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1535854 to the nearest 1000.\nAnswer: -1536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6337*m - 26958*m + 164819 - 13140 = -75152 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98642 is divided by 14091.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 952 and 12416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 + 32. Let d = 4.975 + 0.025. What is the closest to 2\/7 in d, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9570\/(-1218))\/((-12)\/84)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -22\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1195 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2902*g - 469. Is x(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 4965 = 1155. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 - g. Suppose 10*b + 0 + 20 = 0. Let t(w) = 4*w + 1. Suppose -2 - 1 = -v. Let r be ((v - 1) + -3)\/1. What is b*k(q) + r*t(q)?\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081 a factor of 88648567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - 5\/1) + 3\/4. Let x be 15\/(-10)*2\/(-3). Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**7\/168 + t**6\/60 + t**5\/50 + 2*t**4\/3 - 6*t. Let f(s) be the third derivative of o(s). Factor f(p).\nAnswer: 3*(5*p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -87 - -126. Let f = -720141600.49999983 + 720141639.5. Let y = f - i. What is y rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2259, -13709, -43533, -100917, -195047, -335109?\nAnswer: -530289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1360 divided by -4.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/5)\/(3\/18)*(93 + -178). Calculate the highest common factor of o and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - -22397.8.\nAnswer: 22397.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 1. Suppose 12*z = v*z + 210. Suppose -z = 31*g - 36*g. Solve -2*h - 2 = -g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24 by 261233.\nAnswer: 24\/261233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -442 - -446. Suppose -5*q - 35 = 55. Let n = o - q. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r + 10*r + 11*r)*(3*r - r - r + (3 + r - 3)*(3 - 6 + 5) + (-1 + 0 - 1)*(-2*r - 2*r + 5*r)).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.688 - -358.312. Let w = h + -361.94. Let t = w + -0.06. Which is the second smallest value?  (a) -2  (b) 2\/9  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 + 66\/(-15))*-45. Let a be (0 - -1) + 0 + -1. Suppose 2*d = -a*p + 3*p + 9, 2*d + 12 = -4*p. Solve 2*z = -5*v - 9, 4*z - 2*v = -d*v + t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -74 < -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.48*11225.\nAnswer: 39063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = -37*d + 31*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n - 5*n + 16*n)*(1 + 1 - 1)*(-2*n + 0 + 0) - 2*n**2 + 0*n + 0*n.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*b + 5*g = -33*b - 205, -3*b - 19*g - 142 = 88 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by ((-774)\/8)\/(-3) - 6\/(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(25)\/sqrt(5) + -1)**2 + 3 + sqrt(320) + 1 + ((sqrt(5) + 3)*-3)**2.\nAnswer: 58*sqrt(5) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**5\/15 + x**4\/2 + 4*x**3\/3 - x**2 + 13. Suppose g(f) = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 13, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 16622 = 3*w - 4*w, -5*s + 16637 = -4*w. Calculate the highest common factor of s and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggbggrbrgrggbvgugbg. What is prob of sequence buv?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 141, 286, 427, 558, 673, 766?\n\"Answer: -k**3 + 4*k**2 + 140*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 5, y: 13}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a - a - 3*a + (4 - 3 + 0)*(1 - 1 - 3*a))*(0 + 0 + 2) + 30*a - 25*a + 33*a in the form x + t*a and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -1 - -9) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -37. Let p(i) = -i**2 + 5*i - 5*i + 1. Give p(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 11*m + 67. Give r(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 122 - 49. Let b = 11 + f. Let h = 63 + -45. What is the lowest common multiple of h and b?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14028*m*p + 2*p - 711 wrt m?\nAnswer: -14028*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -5*f**2 + f. Suppose 4*h = g - 18, 4*g - 5*h + 0*h - 28 = 0. Suppose -g*z = 2*z + 8. Let o be (z + 1)*(2 + -1). What is q(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46.008 + 46. Let y = -90.68 - -91.68. Put z, y, -3, 2 in descending order.\nAnswer: 2, y, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2. Let k be s(-1). Let b(z) = z. Let g be b(-2). Suppose 2*r - 3 = -p, 0 = 4*p - r - 11 + 35. Put g, p, k in decreasing order.\nAnswer: k, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*q, 5*c - 394 = 2*c + 2*q. Suppose -2*f + c = 6*s - 2*s, 78 = f - 4*s. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*d**3 - 10 + 10.\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 802 a factor of 526895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216*x**2 + 135*x**2 + 70*x**2 + 46*x**2.\nAnswer: 467*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-1)*((1 - (-1305)\/20) + (-3)\/12)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(29\/522)\/((-1)\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**3\/17 + 1920*f**2\/17 + 304758*f\/17 - 6879160\/17 = 0. Calculate f.\nAnswer: -751, -229, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 32486390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -62 - -64. Solve 0 = -n + 3*o + f - 10, n - 2*o + 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-140)\/84*546\/65?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5*a + 44, 145*u - 141*u = 4*a - 48. What is the remainder when 125 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 169260\/1120 + 3\/(-48)*2. Which is smaller: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 139440794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172049685?\nAnswer: 3, 5, 71, 73, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 14246, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1468*d = -14169 - 21063 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/2360 and 61\/16992.\nAnswer: 84960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*p - 13*p + 28*p + 2 - 2 - 2*p + (3*p - p - 4*p)*(5 - 5 + 1) - p + 4*p - 5*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 980\/(-40)*1\/(-14). Let i(l) be the first derivative of 1 - p*l**4 + 0*l**3 + 6*l + 0*l**2. What is the first derivative of i(m) wrt m?\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-266)*(-2744)\/784. Suppose -s - 2*v + 6 = 0, 4 = s + v + 2. Which is the smallest value?  (a) s  (b) -4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5378 + -5378. Which is the closest to n?  (a) 0.5  (b) 5  (c) 1\/7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 82, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q - 134. Let h(z) = 8*z + 207. Let o(w) = -3*h(w) - 5*s(w). Calculate o(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.54 + -0.04. Let g = -1.4 + m. Let u = 0.15 + g. What is u rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24052 - -36.89119.\nAnswer: -24015.10881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 32\/7 of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 3, u: 2, j: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3902143, 31217089, 105357655, 249736651, 487766887, 842861173, 1338432319, 1997893135?\n\"Answer: 3902135*u**3 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-12)*3*2. Let r be t\/(-2)*0 + 8. Suppose n**2 + r*n + n**2 - 8*n = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -5636*y + 50511. Give i(9).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + 10)\/(-2 + 21\/15)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 440388 and 293592.\nAnswer: 880776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 13*c**2 + 11*c - 64. Suppose 6*y + 465 = 495. Does 10 divide q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.43, -4, -39, -2\/25, -87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -4, 2\/95, 2, -30 in descending order.\nAnswer: 3, 2, 2\/95, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cjcmcmmcjc. What is prob of picking 1 j, 1 m, and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + 13*s - s + 24*s.\nAnswer: 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -30*k - 31*k + 76*k - 2 - 11*k**2. Let x(w) = -5*w**2 + 7*w - 1. What is 6*a(g) - 13*x(g)?\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/139 and 17\/8?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 6. Let j(f) = f**3 + 15*f**2 - 2*f - 3. Is j(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of 1739*s**4\/24 - 97*s**3\/6 - 31*s**2. Is d(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 14628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -332*n**3*v**3 - 22*n**3*v**2 + 376*n**3 + 2*n**2*v**3 + 3679419*n*v wrt n.\nAnswer: -1992*v**3 - 132*v**2 + 2256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/2)\/((-16)\/(-24)). Let f(g) = -2*g + m*g + 4 + 3 - 6*g + g**2. Is f(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/7))**(-6\/19)*(f\/(((f**(10\/3)\/f)\/f)\/f*f))\/f*(f**12\/f)\/f)**(1\/8) assuming f is positive.\nAnswer: f**(869\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4485, 8952, 13419?\n\"Answer: 4467*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 5*q - 3 = -10*q, 0 = -5*o - 5*q + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 13 + a**2 - 13. Let r(c) = -1 - 8*c**2 - 1 + 13*c**2. Give r(l(h)).\nAnswer: 5*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15\/9*(1 + 2). What is the third derivative of 4*y**5 + 12*y**2 - 3*y**f - 2*y**5 - 3*y**5 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*l = 36*l + 70. Solve -5*a = 5*g + l + 6, -4*g = -a - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of n**2 + 21*n - 14. Let j be l(5). Are j and 30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55d (base 15) in base 4?\nAnswer: 102331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11, 78, 253, 590, 1143, 1966, 3113, 4638?\n\"Answer: 9*n**3 + 4*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -4*g + 6*g. Let x be ((-21529)\/g)\/(6951\/6). Let h = 1\/1655 + x. Calculate the common denominator of 97\/2 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 173 or 19887?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15980.015054 - 15980. What is y rounded to four dps?\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3 + 7. Let l be x\/(-10) + 47\/(-30). What is the second biggest value in l, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, b: 4}. Give prob of sequence bffb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 114*k**3*w**2 + k**3 - 665*k*q*w - 2*q**2*w**2 + q**2 + 7*w**2 wrt w?\nAnswer: 228*k**3 - 4*q**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/14978582 and -11\/14?\nAnswer: 104850074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 3*n - 4 = 0, -3*o + 7 = -4*n + 6*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 36925 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10248 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 29*y**2 - 211*y - 4. Let c be j(-6). Let h(q) be the second derivative of -10*q + 0*q**c + 0 + 4\/3*q**3. Let i(w) = -w**2. Calculate i(h(v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u + 16*u + 14*u = 45*u - 10*s + 45, 0 = 4*u - 2*s - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**3 - 332*w**2 - 7052*w - 6724 = 0.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 + -23. Suppose -4*j + 6*f = b*f + 32, -4*f = 5*j + 40. Let o be (-300)\/24*j\/10. Solve -2*q + o = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -16. What is the smallest value in y, -0.01, 4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, z: 3, x: 2}. Give prob of sequence zzz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -3 - 1) + (54 - 49).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61288 = -2097*j + 3719 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12*d*l - 13416*d*s - l*s - 4*l - 10*s + 4 wrt d?\nAnswer: 12*l - 13416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 77 and 596561.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6838, 13768, 20698?\nAnswer: 27628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2014*g*n - 37*g + 32396*n - 2638142 wrt n.\nAnswer: 2014*g + 32396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 905476, 1811336, 2717962, 3625738, 4535048, 5446276?\nAnswer: 6359806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-76*i - 83*i + 15*i)*(5 + 4 - 4) + 5*i - 10*i - 7*i to a + w*i and give w.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**2 + 5*m - 4. Let y(n) = -n + 1. Let c(t) = -v(t) + 2*y(t). Determine c(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -182 - -182. Which is the second smallest value?  (a) -0.5  (b) t  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6930 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7210 and 40.\nAnswer: 28840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*((-8)\/50)\/(((-504)\/(-30))\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 2 b, and 1 g when four letters picked without replacement from lnnbggnlblbgnntn.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*o + 18 - 162 + 125*o.\nAnswer: 201*o - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -10. Let z(q) = -q**3 + 4*q**2 - 3*q + 1. Let a be z(2). Suppose 4*o - 2 = a*o. Solve -o*p - 5*n = k, -n = -4*p + 14 - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34224 (base 6) in base 9?\nAnswer: -6567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1732.1004 rounded to 1 dp?\nAnswer: -1732.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1026663 (base 7) in base 8?\nAnswer: -363660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -23883144.\nAnswer: -1\/1990262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 340767124?\nAnswer: 2, 83, 1026407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of -29*j**6\/40 - 146*j**3\/3 - 173*j**2 + 195. Let z(i) be the second derivative of x(i). Differentiate z(y) wrt y.\nAnswer: -261*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -112 - -134. Calculate the remainder when 35 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 63631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -153.3482 and 577.981.\nAnswer: 424.6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.043*-16\nAnswer: 0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j + 2*j - 5*j + (-1 - j + 1)*(-3 + 5 + 0) + 0 - 2*j + 0 + j - j + j + j - j - 4*j + 29*j + 3*j - 7*j to l + x*j and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 14, 3.\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 83 and 3901?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 5*q - 3*o, -12*q = -11*q - 4*o + 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -6. Let y = j + 5. Let k = y - -3.99999979. Round k to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 2*y)*(0 + 2*y + 0) - 8*y**2 + 3*y**2 + 14*y**2 as x + d*y**2 + h*y and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.057 and 8323 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*h - h - 4*h)*(h + h**2 - h) - h**3 - 2 + 2)*(16 - 13*h - 16 + (3 - 3 - h)*(-3 + 2 + 3)).\nAnswer: 60*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -28*a**3 - a**2 + 1. Let x be o(1). Suppose 3*u + 49 = -23. Let h = u - x. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -41*j**4\/12 + j. Let x(k) = -63*k - 12. Let l(r) = -190*r - 36. Let y(s) = -l(s) + 3*x(s). Calculate v(y(w)).\nAnswer: -41*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (6 + -3 - -14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*x + 2. Solve 2*b + p = -3*p - x, -b + 3*p = -3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*-1 - sqrt(130))*6 - (-1*sqrt(130)*5 + sqrt(130) - sqrt(130)))\/(sqrt(70)\/(sqrt(847)*1)))**2*-5.\nAnswer: -951665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 52 - 62 = 2*l, -3*l - 3*o - 255 = 0. Let g(q) = -343*q**2. Let p(x) = -9*x**2. Suppose -3*y - 3 = -18, 3*a - 3*y + 9 = 0. Give a*g(w) + l*p(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 69 = 211. What is the remainder when v is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-2)*(-2)\/4. Let s(w) = w**2 - 8*w + 15. Let m be s(3). Suppose 13*l - 16 - 10 = m. Solve p = l*r + r + 5*v, 3*r = 4*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 96123009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37969454*0.5.\nAnswer: -18984727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v**(-5)*v)\/v**(-1))**18)**1 assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -20*s**3 - 4*s**2 + 14*s + 16. Let f be m(-2). What is the nearest to 0 in 1, 0.5, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 0.5, 11, 6, -12 in descending order.\nAnswer: 12, 11, 6, 0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 45048 and 45048?\nAnswer: 45048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**3 - 292*i**2 + 1728*i + 7920.\nAnswer: 4*(i - 66)*(i - 10)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-31 - 0)*(2 - 3) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12852 and 41249628?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 1611*c - 12517. What is n(8)?\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 2:02 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3163257 by -393.\nAnswer: 8049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 333046?\nAnswer: 2, 7, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16.72 - -932.72. Let i = o - 916.00673. Round i to 4 dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2558 + 2675. Which is bigger: f or 113?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of 0*d**4 + 0*d**6 + 4*d**2 + 0*d**3 + 0 + 0*d - 1\/60*d**5 - 1\/70*d**7. What is the third derivative of c(w) wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3327)\/(-12) - (45\/(-12) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/13?  (a) -0.4  (b) 627023  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-81 - -2) + (-2 + -1 - 18 - (-6 - 20))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 3*l - 1754, 1742 = -4*g + 2*l + 338. Let n = g + 407. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 4*y**3 - 304*y**2 + 300*y = 0?\nAnswer: 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17979637.\nAnswer: 13, 401, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65454?\nAnswer: 2, 3, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1909 by -109.\nAnswer: -1909\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = 2*k. Suppose k*c + q = 16, 3*q - 11 = -3*c + 7*q. What is the remainder when 19 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/7 in -0.4, -247, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*b, 19 = w + 4*w + 2*b. Let u(g) = -4*g + 3*g - w*g. Let r(j) = j**2. Determine u(r(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2580 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1405519850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 3*p + 819 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 10*o**2 - 44*o + 12. Calculate v(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7194 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 11*g - 57. Let o be v(15). What is the biggest value in -3, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.08 - 0.02. Let j = -3475175 - -3475175.06000156. Let k = j - x. Round k to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 10137*y + 60841. What is q(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssbbss. What is prob of picking 1 b and 1 s?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z - 2*z - 4*z**3 - 7*z + 5*z + 0*z - 22*z**2 as n*z**3 + b + j*z**2 + q*z and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.3 + 4.72. Round c to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -23*x + 43. Let k be w(-10). Let y = k - 145. Let i = y - -110. What are the prime factors of i?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, a: 2, n: 1, b: 2, k: 2}. Give prob of picking 2 k and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 9 - -27) + -21 - (1 - 29)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -74\/7 in -4, 0.1, -3, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u - 47. Let s be b(-17). Let w(x) = -x**3 + 21*x**2 + 4. Let r be w(s). Solve -h = -4*n - 20, 0*h = r*h + 3*n + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.16, 0.4, -3, -3\/5, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/3))**(1\/2)\/(f**(6\/11)\/(f*((f\/f**(-3)*f*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(305\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10512533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*f - 65*f + 63. Let t(b) be the first derivative of -b**3\/3 + 2*b**2 + 4*b - 2. Calculate t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2153 - 2153.07. Sort -0.5, w, -78.\nAnswer: -78, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(432) + (sqrt(108)\/sqrt(6))\/sqrt(6) - (-1 + 1*sqrt(147)*2)).\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.123651ml to litres.\nAnswer: 0.002123651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 44 - -31) + (9 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 535*v**2 - 72 + 89 - 2*v**4 - 15 to the form i*v**3 + b*v + a + c*v**4 + n*v**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37265910, -37265911, -37265912, -37265913, -37265914, -37265915?\nAnswer: -37265916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {t: 2, r: 2, d: 10, c: 1, q: 2, h: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 + -24. Let t = -5588 - -5587.78. Which is the smallest value?  (a) 0.3  (b) t  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/51*-3 - (-330)\/85 - -745. What is the greatest common factor of 175 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(320) - -1*sqrt(320))**2 - 6*1*sqrt(720) - ((-1 + sqrt(5))*-3 + (sqrt(405) + 0)**2 - (-2*sqrt(605)*1)**2).\nAnswer: -69*sqrt(5) + 3292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -340 - 124?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = 3*m - 15, -2*m = s + 3*s - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = s - 3. Let a = -2 - s. Is 7 a factor of (0 - a - 1) + 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -j**4\/2 + 1338*j**3 - 166329*j**2 + 5212870*j + 10761075\/2 = 0.\nAnswer: -1, 65, 2547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 2 - 6)*(-3*h**2 + 4*h**2 + h**2)*(20*h - 20*h - 4*h**3).\nAnswer: -56*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 8*k**2 - 3*k - 49. Give x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -403\/495 - -7\/9. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnznnnnnz?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*h - 5*h + h)*(0 + 1 - 3) - 237 - 101*h + 721 + 117*h + 333 to v*h + x and give x.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(1700) - 1*sqrt(1700)) + sqrt(1700) + sqrt(1700) + 1)*-2 + 4)*2)**2.\nAnswer: -640*sqrt(17) + 108816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from qiqxxiqqiqbqqqqi?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 115122 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 c be 2*1*(-5 + 4). Let p(s) = 12*s**2 - 25*s - 6. Let r(f) = -4*f**2 + 9*f + 2. Let y(v) = 3*p(v) + 8*r(v). Is y(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1681697 is divided by 560528?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -q**2*w**2 - 106*q**2*w - 67*q**2 - 11*q*w**2 + 93*q*w - 3*w**2 wrt q?\nAnswer: -2*w**2 - 212*w - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7\/(-266))\/(6\/(-88)). Let x = o + 18\/19. Let -x*h + 4\/3 + 1\/3*h**2 = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*z**3 + 146\/7*z - 300\/7 + 152\/7*z**2.\nAnswer: 2*(z - 1)*(z + 2)*(z + 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 395, 1485, 3303, 5843, 9099, 13065?\nAnswer: 17735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 7:54 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/10 - (-22)\/5. Suppose -1 = -r - 2*r + 2*x, -u*x - 35 = 5*r. Let h(k) = 6*k**2 - 2 + 3*k - 26*k**2 + 5*k**2 + 16*k**2. Give h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197*k - 100 = -202*k. Calculate the lowest common multiple of 28 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(3\/5)))\/t*t**(2\/13))\/((t*t**(-3\/11))\/(((t**(-4\/11)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-3959\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**4 + 11*j**4 - 103*j**2 - 2*j**3 + 205*j**2 - 105*j**2 to a*j + r*j**3 + o + s*j**2 + t*j**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 + 4)*(-4)\/(-10). Let q(g) = -g**2 - 7*g - 4. Let j be q(-6). Suppose 0 = j*s - t - 12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((-1 - 6) + 31 + -34).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 12*r**2 + 19*r - 4. Give t(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6980, -7002, -7038, -7088, -7152, -7230, -7322?\nAnswer: -7428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -4*(sqrt(17) + 1)*4*1)**2.\nAnswer: 416*sqrt(17) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 215.9 + -0.035?\nAnswer: 215.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of -9*p**2 + 0*p + 1\/24*p**4 + 0 - p**3. Suppose 0 = j - 3. What is a(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/4*6)\/(6\/(-14)). What is the greatest common divisor of 28 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12 - -85214?\nAnswer: 85226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 3*b + 12, -2023*b + 2*f = -2024*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/1 + -2 - -11. Calculate the highest common divisor of n and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-5)*20\/(-6). Which is greater: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*m + m - 3*m)*((3 - 4 + 0)*(m**2 - 4*m**2 + 5*m**2) + (7*m + 9*m - 13*m)*(-2 + 2 - m - 22)) in the form s + n*m**3 + y*m + q*m**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*f - 11 + 43, 21 = 3*d + 9*f. What is the greatest common factor of 3679 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33.103 - 32.103. Let f be (4\/(-8)*2)\/1. Which is the biggest value?  (a) f  (b) -0.3  (c) 7  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -50 at most 0.007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 18*i**2 - 13*i + 60. Let m be j(-17). Is (26\/m)\/(-5*7\/1540) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of k**6\/720 - 7*k**5\/360 - 7*k**4\/48 + 3*k**3\/4 + 3*k**2 - 76*k. Factor r(j).\nAnswer: (j - 9)*(j - 1)*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*b - 18156 = 12854. List the prime factors of b.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3906, -3729, -3552?\n\"Answer: 177*d - 4083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*45\/72*4. Let v(k) = 3*k + 21. Calculate v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 2067.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 7:23 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 42?  (a) -1\/309  (b) 0.1  (c) 1\/7  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 2*q - 2*o + 12, -q - o = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 728.613, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 27, 33, 49, 81, 135?\n\"Answer: s**3 - s**2 + 2*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-9) - 5\/(-180)*80284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 8:56 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.1357+2176\nAnswer: 2175.8643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 314, 291, 242, 161, 42, -121, -334, -603?\n\"Answer: -c**3 - 7*c**2 + 5*c + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 2:42 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -4\/5, 5.4, -1, 2\/21, -11?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2996665.353 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z - 1. Suppose -4*i - 2*a = a - 4, -5*i - 5*a = 0. Let r(k) = 2*k**3 - 4*k - 6. Let h(v) = i*w(v) - r(v). Find the first derivative of h(d) wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/31 and 20\/181.\nAnswer: 5611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 91, 19, -51, -119?\n\"Answer: q**2 - 75*q + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47971 + -28611. Is 88 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*g**2 - 2*g**4 + 0*g**4 + 8*g**3 - 27*g**2 as b*g**3 + u + t*g**4 + d*g**2 + l*g and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**2 - w - 3. Let m(i) = -2*i**2 - i - 2. Let h = 11 - 6. Calculate h*m(q) - 4*j(q).\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 82891 and 82892 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*d - 3*z + 206, 4*z = 2*d + 70. Let o = d - -45. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 810396?\nAnswer: 2, 3, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j + 44*j + 159 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.27?  (a) 2.3  (b) 4  (c) 357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 10:47 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*o**3 - 8*o**4 - 88*o**2 - 2*o**5 + 87*o**2 - 14*o**5 = 0. Calculate o.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*n + 37*n = -475. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119 + 53 + 4*x**2 + 55.\nAnswer: 4*x**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a + 3*a + 0*a. Let o be c(5). Suppose 0 = -4*u + 2*j + 10, 5*j + o = -6*u + u. Solve -3*s = -u - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 621631711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - 17*c**2 + 10*c + 19. Let q be d(-19). Suppose 0 = 543*x - q*x + 1752. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71 - (-21 - (57 + 55)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 50 * 4466974.\nAnswer: 223348700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*d + 602 = -3*w, 0 = 3*w + 2*d - 925. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -98 + 4 + (681 - 568).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18106 - 18104. Put i, -7\/4, -1, 0.3 in descending order.\nAnswer: i, 0.3, -1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 9, b: 9}. Give prob of sequence bii.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2847 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.76 + -12. Let n = x - -0.2. Let w = -1.96 + n. Which is smaller: 1\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1774 - -1777. Factor -6\/7*h**2 + 0 + 4\/7*h + 0*h**o + 2\/7*h**4.\nAnswer: 2*h*(h - 1)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6951 - -6953. Solve 16 = -z + 5*z, j*g - 5*z + 16 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/(-26))\/(15\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -912, -1820, -2726, -3630?\nAnswer: -4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -1 - (-7 + 7 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -10*x. Let y be x + -1 - (-8 + 4). Suppose y*q = 7*q. Solve 3*b - 7 - 8 = q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2239.97897 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 954 or 946?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 1587*n**4\/4 - 257*n**2\/2 - 434. Find the second derivative of x(a) wrt a.\nAnswer: 9522*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -60*j - 7. Let m be 2\/((-4)\/(-8)*-2). What is the hundreds digit of p(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24462 and 89694?\nAnswer: 269082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 228 + 1726115552652?\nAnswer: 1726115552880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - 342*p + 64550. Determine y(135).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -46*b**3 - b**2 + 2*b. Let j be z(-2). What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, 1, -1, -5, -81, 2, 13 in descending order.\nAnswer: 25, 13, 2, 1, -1, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18577 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 596843.4 months in centuries?\nAnswer: 497.3695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 601046749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 + x**2 - x**2)*(1 + 0*x**2 - x**2 + 2).\nAnswer: -2*x**4 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g**2. Let k(c) be the third derivative of -c**6\/360 - c**3\/3 - 4*c**2. Let v(x) be the first derivative of k(x). What is v(i(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 3*c - 12 = 0, 5*c = -4*r + 51 - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7087 + 7089. Solve -5*h - 9 = 5*w + 21, h - s = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.055 bigger than 2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, w: 2, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(89 - 16 + 60)*(-6*b + 15*b + b).\nAnswer: -1330*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/160 and -5\/114?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17153228 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1581 = -28*n - 1665 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180*f**5 + 3323640*f**4 + 1108315*f**3 - 7662905*f**2 - 1292795*f + 4523925 = 0. Calculate f.\nAnswer: -7\/6, 1, 18465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*w - 12 = -16*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/9 + 1)\/(4\/(-18)). Let u(g) = -g**3 - 3*g**2 + g - 2. What is u(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 9*g - 15 = -5*f, 17 = 2*f - 5*g. Which is the fourth smallest value?  (a) 3\/7  (b) -0.1  (c) 31  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 15*m**2 + 1. What is q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 313659*q - 2195614. Calculate d(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/3 - 490\/1218. Let p(g) = -g**3 - g**2 - 7*g - 40. Let b be p(-3). Does b = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5\/6))**(8\/3) assuming c is positive.\nAnswer: c**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiiiiiiiivivivivi.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - 77) + 16 + (-1 + 13 - 0 - 18)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 88, 157, 200, 205, 160, 53, -128?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 348 = 283*u - 654 + 153. Let d = -3 - -6. Let q be d\/(-3)*-1 + -1. Solve q = -z + u*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5239141453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 m when four letters picked without replacement from wrrbwwwrmmmwmwrmbw.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g - 7*g + 19 + 60*g**4 - 20 - 4*g**2 + 3*g + 6 as v*g + y + i*g**4 + c*g**3 + s*g**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-4)*4\/16*8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4841 + -1492. Let q = f + 9912. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -8. Suppose -3*h + 11 = -2*t, 1 = -z*t + h + 6. Suppose -4*s + t = -2*s. Solve q - 2*q - s = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 + (15 - 6) + -19)*(-25)\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1041 - 1046. Suppose -2*m - 9 = m. Which is the nearest to m?  (a) 0.4  (b) r  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**3 - 144*f**2 + 404*f - 264.\nAnswer: 4*(f - 33)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -2, 54853 in decreasing order.\nAnswer: 54853, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i**3 - 2*i**2 + 2*i**2)*(-310*i - 310*i + 619*i - 13).\nAnswer: -4*i**4 - 52*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/3*-1*(-228)\/(-152)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*o + 9. Suppose v - o = -c - 2, 3*v - 15 = -2*c. Solve -15 = 3*k - c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22559786*-0.2.\nAnswer: -4511957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*l - 46*z - 254 = 14*l, 4*z + 44 = -4*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = -2*q + 10. Find the common denominator of -2 + 39\/10 + q and ((-236)\/50)\/((-44)\/55).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(117)*-3 + sqrt(117)) - (sqrt(117) - ((4*sqrt(117) - sqrt(117)) + sqrt(117)))*4)\/((-2*sqrt(90)*5)\/((sqrt(120)\/sqrt(4))\/sqrt(3))).\nAnswer: -7*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1803133?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 55 - -1cb63?\nAnswer: 1cbb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*2183.29577.\nAnswer: -6549.88731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4966 divided by 5.\nAnswer: 4966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -214 + 218. Find the common denominator of 53\/22 and 1\/s*-44*2\/(-672).\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/5*1510\/(-3171)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -178*n - 19168. Calculate f(-104).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + x + 1. Let c be (-3 - 0)\/((-9)\/6). Let k(w) = -15*w**c - 5*w**2 + 4 + 16*w**2. What is 2*a(y) - k(y)?\nAnswer: 2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2559\/238 + 184\/17. What is the second biggest value in q, 4\/5, -0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*k**3*r**3 + 74*k**3*z + 643*k**2*r**3*z + 11*k*r**3*z wrt k.\nAnswer: 54*r**3 + 444*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5087.535 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/((-3)\/5))\/((-5)\/15). Let l be (-1)\/(-3)*(-2655)\/j. Round l to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-19)\/(-3 - -2) + -4. Let s be -1*3*(p + -12). Is -1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-45)\/(-10)*(-1 + (-10)\/(-6)). Suppose -2*i + 14 = m*i + 2*v, -3*i = 3*v - 3. Suppose b + i*s - s - 8 = 0, 4*b + s + 1 = 0. Sort 1\/4, b, -3\/2, 3.\nAnswer: -3\/2, b, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31548480 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35653892 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-130)\/(-2275) - 189\/(-294)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 1 = 1. Suppose -i*f = 2*v + 4, 0 = f + 4*v + v + 2. Let k be (f - -2)\/(-3 - 0). Does k = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/m**(-4)*m)\/(m*m\/m**(-7)*m)*m\/((m*m**(1\/10))\/m)*m**(2\/7) assuming m is positive.\nAnswer: m**(-57\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-8) - -10*(-8)\/(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5579 = 587*y + 291 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6626 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -258 - 1c4?\nAnswer: -43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -324*p + 323*p - 660. Let j be (p\/(-77) - 9)*(-8)\/3. Factor 0*b**2 + 4\/7*b**3 - 12\/7*b + j.\nAnswer: 4*(b - 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from itwitwtpptel. Give prob of sequence wwtw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139 is divided by 8\/10 + 1722\/35.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6370)\/300)\/(-91)*11\/(-693)*12.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000838 to six dps.\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -p - 12, 0 = -5*t + 2*p - 7*p - 20. Let y(x) = -31*x**2 - x - 2. Let d be y(-1). Let n be 16\/120 - d\/(-15). Is n at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*x**5 - 142*x**3 - 1595*x**2 wrt x.\nAnswer: 180*x**2 - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*u + 103 = 134 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -913070 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.447 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 4. Let c be 25 + o + 3 + -1. Suppose -5*l - 2 = -c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 3*k - 10, -4*l - 4*k + 39 = l. Let g be (-6)\/8 + l\/4. Solve 0 = -g*i + 3*q - 12, -4*i = -3*q - 0 + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38342567 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68 - 25 - 24 - 17 + 449*x.\nAnswer: 449*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -989 + 176 - 625 + 297 - 1079 + 2*x**2.\nAnswer: 2*x**2 - 2220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 + 27. Suppose 20 = 4*h - o, 5*o - f = 14. What is the remainder when 19 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5829*o**2 - 5803*o**2 + 17429*o**2 - 5811*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 121, 154, 181, 202?\n\"Answer: -3*b**2 + 42*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -30 - (-42 + 81)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + 4*h + 13. Let t be u(6). Suppose -t = 3*y - 8*y - 2*v, -5*v - 10 = 0. Which is the third biggest value?  (a) 4  (b) y  (c) 0.4  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 3*y - 15 = 0, u - 4*y - 27 = -8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 177*i - 4394. Give r(26).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 0, 2\/9, -12\/11, 4, 257 in descending order.\nAnswer: 257, 4, 2\/9, 0, -2\/7, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 795 and 7635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -162 at most -1295\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 14 = -55. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*g**4 + 288*g**3 - 112*g**2 = 0. What is g?\nAnswer: 0, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 25, 48, 75, 106?\n\"Answer: 2*h**2 + 17*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68.6099 - -1387.\nAnswer: 1318.3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5*(-3*(sqrt(7)*1 - sqrt(7)) - (sqrt(7) - -2*-2*sqrt(7))**2).\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 685\/264 greater than 2\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.136 - 2.616. Let b = v - -3.7. Let n = b + 0.05177. Round n to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -124 or -59?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + l + 17370 - 1231, 4*n = -4*l + 12916. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5927 divided by 4?\nAnswer: 5927\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -4\/15, -4, 108.\nAnswer: -4, -2\/5, -4\/15, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-6)*w)\/(w\/w**(-9)*w*w))**(-30)*((w**(-1\/2)*w)**(-1\/12))**(17\/2) assuming w is positive.\nAnswer: w**(24463\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13073 + 2.\nAnswer: 13075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 2*h + 6222, 0 = -3*c + 4*h + 2982 + 15694. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9010953.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/10 and 75\/208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 12:25 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -297 (base 14) to base 7.\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/(-5))\/2*(-1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28631 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than 12930026310?\nAnswer: 12930026305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.4 and -0.1.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - o + o + o - o + 2*o + (-2*o + 0*o + 4*o)*(3 - 4 - 1) + 40*o + 10*o - 15*o + 18*o + 6*o - 5*o)*(-3 + 3 + 1).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*21\/((-714)\/85)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1372.3 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -23567769 and 6720.\nAnswer: -23561049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -6b6?\nAnswer: -6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q + 29 = 3. Let a(o) be the first derivative of 0*o + 4 - 5\/3*o**3 - o**q. What is the second derivative of a(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2762*n - 2268 = -2195*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27611505 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18 + 36?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-16)*u))\/(u*u**(-26)) assuming u is positive.\nAnswer: u**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(2299) + -1 + -5 - -2*sqrt(2299)*4)**2*4.\nAnswer: -2980080 + 19008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/6 - (-29)\/2. Let r = k - 13. Suppose -i + r = u - 0, -5 = u + 4*i. Solve -u = 5*v + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/1*(7 - 2). Let y(w) = -6*w - 128 + w**2 + 121 - 2*w**2. Let a be y(h). What is the biggest value in a, 1\/5, -6\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 990 and 2035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 94, 94, 102, 124, 166, 234, 334, 472?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 338392339 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, d: 4, r: 4}. What is prob of sequence dror?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*(-155)\/(-20) + -3*1. Let d = i - -21. What is the remainder when d is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -2061855 greater than or equal to -2061856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**18*d)\/d**(8\/9)*(d*d*d**18*d*d)\/(d\/d**(3\/8)*d) assuming d is positive.\nAnswer: d**(2771\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.05886 - -0.24114. Sort 8\/9, -2, 0.1, 3\/2, w in descending order.\nAnswer: 3\/2, 8\/9, w, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.05, 3\/8, -105814, 4 in descending order.\nAnswer: 4, 3\/8, -0.05, -4, -105814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20138 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 3*c**4 + 442809*c**3 + 442791*c**2 - 2214021*c + 1328418 = 0.\nAnswer: -147602, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*s - 93 - 106 = -1729 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (((-24)\/(-10))\/(-1))\/(21\/(-70)). Suppose 30 = -z*g + 10*g. Calculate the remainder when g is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 16*x**2 - 30*x - 6. Let n be p(-14). Suppose -19 = -b - 5*k, -b - b + 2*k = n. Let h(d) = d**3 + 6*d**2 - d - 8. Calculate h(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7506 plus 1201840147?\nAnswer: 1201832641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 9*w**2 - 12*w - 9. Let o(q) = -q**3 + q**2 + q + 5. Let p be o(3). Let n = p + 17. What is the smallest common multiple of n and f(-10)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/1*(-390)\/(-208)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 492 + -482. Let l = 0.3 - 0.4. Which is the closest to l?  (a) 3  (b) y  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 105201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3*g + 3*r - 1407, 3*r = -5*g - 2345. Let o = g + 511. Calculate the highest common factor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54168 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 take away -3837?\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1360150 divided by -680075?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 70.8 - 79. Let o = r - -9. Let x = o + -0.79993. Round x to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from lmmcm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 555 in descending order.\nAnswer: 555, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 8799992 = -2*n - 0*p, -4*n + p - 17599996 = 0. What is n rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 32*w. Let n(o) = -160*o**2 + 3*o. Give n(a(v)).\nAnswer: -163840*v**2 + 96*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.08 in 306.2, 2\/7, -0.2, -1, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 2:22 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**3 + 4*q**2 + q - 4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**5 + 86*c**4 + 270*c**3 + 274*c**2 + 92*c = 0.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6535851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**3 - h**2 - 3*h**3 + 48*h**2.\nAnswer: -h**3 + 47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5678 + g + 5678 + 100*g**2 + 189*g**2.\nAnswer: 289*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-15))\/(1\/2). Let z = 0.745 - -2.255. Put -4, z, j, -2\/9 in ascending order.\nAnswer: -4, -2\/9, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-7)\/(21\/(-9)) + (1 - -4951)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**18\/c)\/c)\/c**(-1\/2)*(c\/c**(2\/31))\/c**(-1\/12) assuming c is positive.\nAnswer: c**(6517\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 g, 1 o, and 1 j when four letters picked without replacement from wgmgoomvj?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -468285, -468290, -468297, -468306?\nAnswer: -468317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.471 * -7.\nAnswer: 3.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 23*c + 3. List the prime factors of z(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/(-2))\/(14\/3836). Let v = 286 - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-52)\/(-8)*-142*-5 - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 6*m + 5. Let r be a(-4). What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**2\/5 + 8639262*g\/5 + 34557064\/5 = 0.\nAnswer: -4, 8639266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 6:17 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.06 from -351665.\nAnswer: -351664.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 4592000 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*w**3 + 1\/2*w**4 - 13689\/2 + 6844*w**2 - 117*w = 0. What is w?\nAnswer: -117, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.034174702*-3\nAnswer: -0.102524106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (20\/3)\/((-77)\/21 + 4). Let c be (f\/(-6))\/(7\/((-126)\/12)). Solve -2*x + 13 = y - c*x, -8 = y + 4*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/((-15)\/(-24)*-4). Let l(y) be the first derivative of y**2 - 1\/6*y**3 + 5 - a*y. Solve l(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*m - 4, -i - 2*m = -4*i + 12. Suppose 0 = i*b - 25 - 13. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9738, 23209, 36680, 50151?\nAnswer: 63622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26\/2797?  (a) -4  (b) -2\/13  (c) -0.2  (d) 0  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.1226 to 1 decimal place.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + q**2 + q + 1. Let v(x) = -5*x**3 - 3*x**2 - 3*x - 3. Give -6*g(o) - 2*v(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 4*z - 588, -8*n + 5*z = -5*n - 588. Let f = n - 148. Calculate the highest common divisor of f and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (r + r - 4*r)*(-21 + 18 - 8)*(1145*r**2 - 21131 + 21131) + r - 2*r**3 - 1 + 1 in the form q*r + f*r**3 + k + p*r**2 and give f.\nAnswer: 25188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4 = 8. Suppose -t*c - 33 = 15. What is the units digit of (-2)\/4*c*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*c)*(0*c**3 - 4*c**3 + 6*c**3) - 2*c**4 + 4*c**4 + 0*c**4.\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*v**2 - 11*v**2 - 7*v**2 - 1120 + 246 to r + x*v**2 + t*v and give r.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -271 + 346.9. Let t = -76 + w. Suppose 8*b - 4*b = -20. What is the closest to 2 in t, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 + y - 5*y + 28.\nAnswer: -4*y + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 141 and 0.5?\nAnswer: 70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145.4 - -1.\nAnswer: -144.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of o**8\/840 - o**6\/90 - o**3\/2 + 4*o**2. Let f(v) be the first derivative of i(v). What is the third derivative of f(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 5:25 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1484, -3174, -5078, -7196?\n\"Answer: -107*a**2 - 1369*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -30 - 38. Let b = 22 - y. Suppose -152 = -b*g + 18. What is the greatest common divisor of 85 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.13?  (a) 0.056  (b) -1\/12  (c) 5  (d) 0.05  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 15, -5.645 in descending order.\nAnswer: 15, 3, -5.645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z. Let g(v) = v - 1. Let k = 22 + -19. Suppose 0 = -4*c + 1 + k. Give c*h(o) - 2*g(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + 2\/(54\/(-21)). Let k = p + -13\/18. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(1 - (-180)\/(-176)). Calculate the common denominator of 43\/8 and i\/28*4\/2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1660.0000004492 - -1660. Round d to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 3:43 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12074, -96606, -326038, -772820, -1509402?\nAnswer: -2608234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 5*z - 7 = -2*u, 0 = 4*z - u + 21. Let i = z + 10. Solve -i*m + 0*j - j = 5, 0 = 3*m + 4*j - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -31.2  (b) -0.06  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9590 + (-10 - (6 + 0 + -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111\/(-740) - 2233\/(-10780)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 t, and 1 b when three letters picked without replacement from ktukukuukb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - b83?\nAnswer: -b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 9, 6, -1, -12?\n\"Answer: -2*w**2 + 3*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2554*q**2 - 1706*q + 36. Let w(a) = 2554*a**2 + 1708*a - 33. Let z(c) = -11*v(c) - 12*w(c). What is the second derivative of z(f) wrt f?\nAnswer: -5108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2405766 and 1650.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2722880414 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 24 - 6. Suppose -2*q - r = -4*q. Suppose -3*f - 5*n + 10 = 0, f = -f + 5*n + 15. Solve f*o = -4*z + q - 3, 0 = 5*o - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3937822 is divided by 56254?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -346 - -343.568. Let y = t - -2.4. What is y rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 591 a factor of 84440120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 8.4, 284 in descending order.\nAnswer: 284, 8.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15263\/222 + -413\/6. Let j(y) = -y**3 - 9*y**2 - y - 7. Let z be j(-9). Suppose 7*x = z*x. Are p and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -l + 4*a + 12, -10*a + 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/392458 and 5\/160551.\nAnswer: 3532122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004735 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*h - 24*h + 14*h**2 - 13*h**2 + 10*h + 3783*h**3.\nAnswer: 3783*h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, h: 2, g: 1}. What is prob of sequence hyv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 20231 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 48368193 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 1. Suppose 0 = -q*m - 3*d + 7, 4*m - 2*d = 2*d + 24. Suppose -11*i + m = -6*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 + 13*z + 3. Let w(v) = 2*v**3 - 8*v**2 + 19*v - 51. Let r be w(3). Determine m(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + 13. What is the least common multiple of a and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 528812 - 2332*a**2 - 528812 to the form r*a**2 + c + s*a and give r.\nAnswer: -2332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 5*v**2 + 7*v. Let q be b(-6). Let w = 54 - q. Let s be 244\/10 - (-4)\/(-10). Calculate the greatest common divisor of w and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14733.969514 - -14734. Round x to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -5*c + 14. Let b(a) = -5*a + 14. Let s(h) = -3*b(h) + 2*g(h). Let j be s(7). What is the highest common factor of j and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 2. Let i(g) = g + 21. What is the remainder when 41 is divided by i(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3 + -1*sqrt(448) - ((4*sqrt(448))**2 + 5 - sqrt(448))).\nAnswer: -7176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (14\/(-28))\/(1\/(-6)). Suppose 0 = -u*m + 5*m - 26. Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.471415314 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -39, -45, -67, -111, -183, -289, -435?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -16)*633\/4. Let r be d\/(-32) + 1\/8. Let p = 153 + r. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*f + 12, 4*g - 2*f + 4 = 0. Let z(t) = t**3 - t**2 + t - 36. Give z(g).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/9 + 508*f**2\/3 - 4546*f\/9 - 2024\/3.\nAnswer: -2*(f - 759)*(f - 4)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + -442603?\nAnswer: -442587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/16)\/((-10431)\/162260)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 7*t**2 + t + 306. List the prime factors of s(0).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 115998?\nAnswer: 2, 3, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 4, 4*o - 5*u = 5*o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/((-840)\/36)*2\/((-2)\/(-25))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 857266\nAnswer: 3\/428633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of -q**5\/60 + 3*q**4\/8 - 4*q**3\/3 - q**2. Suppose -t + 7 = 1. Let r be m(t). Solve 0 = -2*n + r - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14270 and 6.\nAnswer: 42810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1906 or 1909?\nAnswer: 1909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -4  (b) -2  (c) -1.49  (d) 8  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.019 - 2.981. Let d(p) = 2*p - 14. Let a be d(6). Put a, n, 0.05 in increasing order.\nAnswer: n, a, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-1*sqrt(5) + sqrt(5) + sqrt(5) + (-1 + sqrt(605))**2 - sqrt(55)\/(-5*(sqrt(11)*5 + sqrt(11))).\nAnswer: -629*sqrt(5)\/30 + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(9\/3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvppppgppppvppppp. Give prob of sequence gp.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*h - 7 - 45 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1841 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: Let s(i) = -5*i - 2. Let q(f) be the second derivative of 0 + 0*f**2 + 0*f**3 - 176*f + 1\/3*f**4. Determine q(s(x)).\nAnswer: 100*x**2 + 80*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 52\/(-13) - (-74)\/2. Let s = -33 + k. Solve s = 2*f - 5*o + 3, 3*o - 7 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from xdxo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {w: 1, q: 1, m: 1, i: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9632 + -4689. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbtwtobbwbrrrbt. Give prob of picking 1 o, 1 w, and 2 t.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 15 + 3 = 0. Suppose i*l = 8 + 16. Suppose l*u + 12 = -0*u + 4*x, 0 = -u - 2*x + 12. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 29*i + 3615*i + 2 + 1463*i to p*i + c and give p.\nAnswer: 5107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 2, f: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61 + -28. Let k = 31 - x. Let w be 6 - 9\/(-1 + k). Calculate the highest common factor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1007162462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(6\/14 - 0). Put -0.3, 0.1, 1\/4, k in decreasing order.\nAnswer: 1\/4, 0.1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -166*x**3 - 18*x**2 - 8*x + 20. Let a be c(7). Let k = 2430083\/42 + a. What is the common denominator of k and 27\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7)*p\/p**(-2\/3)*(((p*p*p*p\/p**8)\/p)\/p)\/(p**9*p))**(-49) assuming p is positive.\nAnswer: p**(3136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p**3 - 3*p**2 + 2*p - 2. Suppose 2*a - 5*a - 6 = 0. Let o be a + 4 - (1 + -1). Does 11 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*i + 259 = 55 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 26 = 3*f, f = -1 - 1. Suppose 0*b = b + 3*k - z, -3*b - 4*k = -12. Solve g + b*g + i = -25, i = 5*g + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 - 63192*x - 189549.\nAnswer: -3*(x + 3)*(x + 21061)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**2 - 24*c**3 - 22 + 55*c**3 - 15*c + 0 - 30*c**3. Suppose -3*n = 2*g - 5*g + 24, -2*n + 2 = g. What is the least common multiple of g and m(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6153984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 3*t - 18 - 3 = 0, -3*l - 28*t + 78*t - 25*t - 13 = 24*t for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/4 + 171*i + 92315\/4.\nAnswer: (i + 185)*(i + 499)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4 = -2*n - 7, 0 = -2*n - 5*m - 7. Let g be (-27)\/n*(-84)\/1. List the prime factors of ((-24)\/(-14))\/((-12)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46.2 - 46. Let n = 54 - 80. Which is the third smallest value?  (a) -2\/5  (b) n  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 3*f. Suppose -o - 4*j - 15 = f, 7*o + 5*j = 4*o - 31. Let n = -7 - o. What is the nearest to n in -3\/2, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 634511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -872 - -949. What is the highest common factor of 77 and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -11*a + 2. Let p(k) = -660*k + 121. Determine -121*f(v) + 2*p(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6 - 4 - 0 - -8. Suppose -5*w + r*w = 7910. Suppose 2*f = 4*s - 6*s + w, -4*f - 5*s + 3164 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 7*p**2\/2 - 28*p - 2. Let f be d(4). Suppose 3*b = -f*b + 240. What is the highest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -65\/111 + 13306\/22533. What is the fourth smallest value in -2, 0.3, g, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110100004 (base 5) to base 9.\nAnswer: -788260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 n, and 1 d when four letters picked without replacement from {d: 1, w: 5, n: 5, t: 1}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*r = 17, -3*o + 13 = -3*r + 4*r. Suppose 0 = -o*k + 38 + 4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 9:33 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1366086 or 1365841?\nAnswer: 1365841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -26, -68, -132, -218?\n\"Answer: -11*x**2 - 9*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6794817mg to tonnes.\nAnswer: 0.0000000006794817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3 != 34\/2053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 244215 (base 8) to base 3\nAnswer: 11021101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 4*q + 29, 0 = 3*r + 2*q - 1 + 2. Put r, 1\/4, -3\/8, 0.5 in decreasing order.\nAnswer: r, 0.5, 1\/4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -234780609188 - 0.\nAnswer: -234780609188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 5:37 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 227 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -1, 2\/61, 5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/46 - ((-120)\/(-780) - 60193\/(-2093))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83*w - 17*w - 15*w)*(2 + 1 - 4) + w + 1 - 1.\nAnswer: 116*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 6.736. Let i = h + -0.2640398. What is i rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/5)\/(20\/(-50)). Suppose 2*y - u*c + 5*c - 6529 = 0, 4*y + 5*c - 13061 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 783494?\nAnswer: 2, 31, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -y - 8. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-682)\/(-154))\/31)\/((-50)\/(-14)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65901 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2 and 377296924?\nAnswer: 377296922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 2*z + 12. Suppose 0 = 4*m - s, 4*m + z*s + 20 = -0*m. Is -3 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/6*(-134)\/469*(-30)\/(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1424 - -971. Let n = 229 + b. Let l = -224.131 - n. Round l to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3338580 to the power of 1\/2, to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 18822584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*w - 5*f, -7*w - 61*f + 15 = -63*f. Let l(t) = -3*t - 2. Let q be l(-4). Let n be -2 + 1035030\/q*2\/w. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.905 + -0.905. Let a = -11.1 + 1.1. Sort a, 0.4, g, -2\/9 in increasing order.\nAnswer: a, -2\/9, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007227428 rounded to four dps?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 635 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**4*n + 1842630*d**4 - d**3*n + 2*d**3 + 67*d**2*n - 2*d*n - 1504*n + 12 wrt d.\nAnswer: 48*d*n + 44223120*d - 6*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 + 9*z - 5. Let p(d) = d - 1. Let m be (12\/4 - 3) + 1. Let r(k) = m*b(k) - 5*p(k). Find the second derivative of r(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c\/(c*c*c*c**(-6\/19))*c))\/c)\/(c*c*c**(-17)*c) assuming c is positive.\nAnswer: c**(298\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 - 2)*(-4*x - 3 + 0 + 4) + 5*x - 2*x - x + (x + 2*x - 2*x)*(-3 + 2 + 3) - 4 - x + 4 to p*x + i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/(-6)*1 + 0)*60. Let v = f - 44. What is the smallest common multiple of v and 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*i*n**3*p + 2*i*n**2*p - 473*i*n*p - 2*n**3*p - 2*n**3 + 2081*n*p wrt i?\nAnswer: 7*n**3*p + 2*n**2*p - 473*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 4. Let d = -1 + 3. Let b be -2 + (-1 - (-33)\/9). What is the closest to f in d, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.215 to one decimal place.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2038820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29*m + 10*m**2 - 12*m**6 - 29*m wrt m?\nAnswer: -1440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pzsxfpzppzfsx. Give prob of sequence pz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84218.24g to nanograms.\nAnswer: 84218240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -7*y + 1. Let j(l) = -2*l**2 - 3*l + 845. Give j(h(x)).\nAnswer: -98*x**2 + 49*x + 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -2*j**5 + 19694*j**4 - 48412724*j**3 - 339637828*j**2 - 533958698*j - 242753290 = 0.\nAnswer: -5, -1, 4927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(495)\/(sqrt(22)\/sqrt(2)) + sqrt(45) - (1 + sqrt(5) + -6*sqrt(20))**2).\nAnswer: -28*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -16, -3, -105 in increasing order.\nAnswer: -105, -16, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 20 = -5*j - 66, -2*o = 4*j - 94. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1845 + -171. Is 31 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1257773751 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -13*b + 18. Let s be (b + 14\/6)*(3 + 3). Solve -2*g - s*g = -16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 1:21 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 268 + -246. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18 + 0*o**3 - 5 + o**3 with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1605 + 42*p + p**2 + 23*p**3 + 40*p**3 - 43*p**3 wrt p?\nAnswer: 60*p**2 + 2*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 3 a when four letters picked without replacement from {k: 8, a: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**3 - 295*j**2 - 310*j + 600.\nAnswer: 5*(j - 60)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97 and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.78, 9962, 3, 1 in ascending order.\nAnswer: -0.78, 1, 3, 9962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*s + s - 71*s**2 + 70*s**2 in the form v*s + t*s**2 + b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1021 (base 3) in base 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 4, -267, 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2191 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 3*x + 26 - 17, -2*x - 1 = 3*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and ((-1)\/(-2))\/((-2)\/(-36))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 4*n - 3. Let h be o(-2). Let q be h\/((10\/(-6))\/(-5)). Let a(s) = 7*s**3 - 5. Let i(y) = -4*y**3 + 3. What is q*a(j) + 5*i(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + -0.4. Let t = 0.5 + g. Let i = -5\/8 - -1\/8. What is the smallest value in -0.2, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12491 (base 12) to base 2.\nAnswer: -110000100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 9 = u. Let l be 5 - -2*u\/6. Suppose 7*t - l*t - 3*a - 15 = 0, -3*t - 5*a - 9 = 0. Solve -x + v + 0 + 1 = 0, -4*x + 28 = t*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 682 a factor of 2160576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 5*w**2 - 2*w - 2. Let f be z(-5). Let g = 37 + -15. Suppose f = 5*v - g. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 5*b - 4*w, 2*b + 4*w = -0*b + 52. Solve -2*n + 26 = b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + 5*m**2 - 7*m + 5. Calculate s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 603218723*a*q**2 - 15191*a*q - 7518*q + 1 wrt q?\nAnswer: 1206437446*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j**4 + j**3 - 5*j**2 + 19676*j + 267511616 with respect to j.\nAnswer: 4*j**3 + 3*j**2 - 10*j + 19676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 116 + -165. Let g = 25093\/4 - 6322. Let a = g - x. Do a and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -25, -69, -141, -247, -393?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/10 + (-16)\/(-10). Suppose 1145 = 4*w + 4*g - 1635, -2*w = 3*g - 1395. Let p be w\/(-207)*3\/(-5). Solve p*d + 12 - i = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 1078 = 8*c. Suppose 535*v - c*v = 16. Is v not equal to -38\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159893 is divided by 601?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**4 + 1 + 47*z - 53*z + 1 - 2*z**4 to the form u + k*z**3 + r*z**4 + j*z + y*z**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8861?\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p**3 - 366*p**2 - 102*p - 144. Does 50 divide n(-122)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44343205303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3198991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -621, -1223, -1781, -2295, -2765, -3191?\n\"Answer: 22*f**2 - 668*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2062)\/(-23713))\/(20\/115).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -10a2 + -c2?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (7 + -11 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128726.\nAnswer: 2, 13, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 768668 + -1?\nAnswer: 768667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 10660410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i - 4. Let w(c) = -4. Let v(g) = 3*o(g) - 2*w(g). Let b be 1\/5 + 132\/15. Is v(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of 3*c**2 + 1\/8*c**4 + 0 + 0*c + 0*c**5 - 1\/210*c**7 + 0*c**3 + 0*c**6. Find the second derivative of w(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -29, -47, -65, -83, -101, -119?\n\"Answer: -18*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -24130 from -0.4.\nAnswer: 24129.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 83 + 69. Suppose 15 - 5 = h. What is the common denominator of d and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 184 + -183. Suppose -4*o = 12, 0 = 3*x - 4*x - 4*o - d. Solve 10 = g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 20 = -4*a, -3*a - 2 = 4*b - 24. Let z(n) = 8*n - 365. Let x be z(46). Solve j = x*j - b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2\/(-36)*-94 + (-12)\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.66 - -12.14. Let i = n - 14. Let m = -7 - -6. Which is the smallest value?  (a) m  (b) i  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1542.560787 rounded to the nearest 10?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 24898, 49815, 74732, 99649?\n\"Answer: 24917*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13\/4 + 15\/4. Factor 1\/2*h - a*h**2 + 0.\nAnswer: -h*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 0*f - 3 - 7*f - 2*f + f**2 + f. Let g be m(8). Calculate the remainder when (3\/g)\/(1\/(-26)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f. Let l(x) be the third derivative of x**4\/2 - 2*x**2 - 41. Let a(s) = -8*b(s) + l(s). Let y(q) = 4*q**2 + 2*q - 2*q. What is y(a(v))?\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3759 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -9*s**2 + 6*s**3 - 6*s - 3*s**3 - 6*s + 0*s**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/100828 and -125\/93072.\nAnswer: 1209936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1050344 divided by 262586.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3034 + 1686 = 126*x + 3188. Which is the nearest to x?  (a) -5  (b) 5  (c) -23  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1493\/4*w**3 + 1\/8*w**5 - 10383\/4*w**2 - 27075\/8 - 111\/8*w**4 - 50939\/8*w = 0.\nAnswer: -1, 19, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 28, 0, -6280 in decreasing order.\nAnswer: 28, 0, -1, -6280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-1260)*-14 - 250\/(-765).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*w + 103918 + 106646. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3213003 - 0?\nAnswer: 3213003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-4\/11))*u)\/(u*u**(1\/5))*u\/u**(4\/7)*u*(u\/(u*(u**(-4)\/u)\/u))\/u assuming u is positive.\nAnswer: u**(2538\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 910\/105*6\/4. Solve -2*o = u - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*s = -5*k + 10, -s + 4*k = 9. Let g(j) = -4*j**2 - 4*j + 1. Let i(c) = 3*c**2 + 3*c - 1. Give s*i(b) - 4*g(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 11:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 0 + 0*m + 70*m**2 - 5\/8*m**4 + 0*m**3. Let f(n) = -5*n. Determine -8*f(w) + 3*v(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*-688970.\nAnswer: 20669.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 575 is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18288247 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eyh when three letters picked without replacement from tllhlutlutulely?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74, -351, -1100, -2567, -4998, -8639?\nAnswer: -13736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 1 + 1)*(-1 - 4*a + a - 5*a)*(-4*a + 5*a + 0*a + (0*a + a - 2*a)*(-6 + 1 + 3)).\nAnswer: -24*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -941\/22 + 124\/11. Calculate the common denominator of -1\/8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -69714 take away 0.3194502?\nAnswer: -69714.3194502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -8484, 1, -31 in decreasing order.\nAnswer: 1, -31, -8484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -105, 4, -2, -1, 22, 2015 in decreasing order.\nAnswer: 2015, 22, 4, -1, -2, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -239.4.\nAnswer: 119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of 5*j**4\/3 - j. Let w(t) = 89975 - 2*t**2 - 89975. What is h(w(f))?\nAnswer: 80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/39487320 and -151\/24840.\nAnswer: 118461960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 + (-5 - (-497 + 6)). Suppose -132 = m - g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**3\/7 + 5597*o**2\/7 + 4581599*o\/7 - 4587197\/7 = 0.\nAnswer: -4601, -997, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g = -5*a + 9, 0 = 106*g - 101*g + 4*a - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 13) to base 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a46aa - 16?\nAnswer: -a4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/232 and 109\/37700?\nAnswer: 75400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o**2*q**3 + 43835*o**2*q**2 + 13*o**2*q + 96689*o*q**3 - q**2 - 2*q wrt q?\nAnswer: 6*o**2 + 580134*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*v + 12 - 11 - 8*v - 3*v + 5*v - v + (-4*v - 2*v + 4*v)*(3 - 3 - 3) - 3*v - v + 5*v - 1 - 2*v + 1 in the form q*v + k and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 a factor of 162679160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -273 - 246.39713?\nAnswer: -519.39713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((0\/(-3))\/1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10011 (base 2) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1351\/11 + 82171\/660. Let z = 45178 - 1355519\/30. Calculate the common denominator of t and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 16*x**3 - 5*x**2 + 26*x - 76. Let u(d) = 3*d**3 - d**2 + 5*d - 15. Let b(a) = 11*u(a) - 2*y(a). List the prime factors of b(5).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/((3 + 0)\/(-3)). Let t be (-1)\/((f + -2)\/9). Suppose t*v - 5*d - 64 = 0, 0 = d + 5. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1410991 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261551 is divided by 65383.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyi when three letters picked without replacement from {y: 3, i: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 516 - 9?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/10, -3, 1\/7, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1364 and 5084.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 (base 7) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 4*h**2 + 16*h + 10. Let c be o(-8). Let v = -108 + c. Solve t = -3, 5*w + 8 = -t + v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u + 300 = 4*u. Let s = -79 - u. Is (-4 - -83)*s\/(-1 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -0*j. Let p be ((-22)\/5 - 0)\/((-396)\/990). Put j, -1, p in ascending order.\nAnswer: -1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**2 - 42331 + 42331.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01838525 to 5 decimal places.\nAnswer: 0.01839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 0*l - 75 = -5*n, n - 5*l = 27. Is n less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -47413 and 4.\nAnswer: -47409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/6*8\/6. Let l(f) be the first derivative of -f**4\/4 + f**3 + f**2\/2 + 2. Give l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-3 - 17\/(-6)). Suppose -4*h - 28 = -4*q, -4*q + 3*h - 11 + t = 0. Solve 2*r - q*d - 2 = -6, 5*r - 3*d = -3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -57*m**2 + 22*m + 85. What is k(-3)?\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 9*u**2. Suppose -3*o + 21 = -0*o. Let y = o + -5. Let q(r) = -3 + r - y*r + 3. Give b(q(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + (-940)\/168 - (-2)\/21. Which is the closest to -1?  (a) 12  (b) m  (c) 0.01  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rwbb when four letters picked without replacement from bbrrrrrrrrwrrrbrrbbr.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 6*m + 3. Let i be k(9). Suppose w + 2*w = i. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25 and 74.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2. Let a(d) = -13*d**2 - d - 1. What is -a(y) - 5*g(y)?\nAnswer: 8*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4489, 18068, 40695, 72370, 113093, 162864, 221683?\n\"Answer: 4524*y**2 + 7*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 3*q - 63, 8 = 5*m + 5*q + 63. Let t be 8\/m*(-5 - 7). Solve 4*g + t + 0 = 5*l, 10 = -5*g - l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 849 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 212452 > 212426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 7 = c, c = -z - z + 3. Let n(w) = -w**3 - 4*w**2 + 4*w - 3. Let p be n(-5). Let u = 2 - p. Put 3, c, u in descending order.\nAnswer: 3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, p: 3, r: 5, b: 1}. What is prob of sequence bccb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.9 + 2.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 + 32. Suppose 0 = 8*u - 26 - 358. Let b = d - u. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 5  (c) 1\/172  (d) -4  (e) -181  (f) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 580 + -583. Let m be r + 120\/35 + 0. Which is the closest to -3?  (a) -5  (b) -2\/17  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 12:12 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1163244 and 7257?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2422213584.\nAnswer: 2, 3, 7, 17, 37, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 324 divide 19430097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/299 and -40\/7.\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 510 (base 8) to base 10.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 21*y - 9. Let i be v(9). Calculate the common denominator of (-1478)\/i - 3\/(-5) and 27\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*m + 126*m - 77*m**3 - 56*m.\nAnswer: -77*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1527 - 1528. Which is the smallest value?  (a) -8  (b) 6  (c) -0.9  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -4 - (2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -20 - 2*a + 15 + 0*a + (-7*a + 3*a + a)*(-1 + 1 + 1).\nAnswer: -5*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(132) + (sqrt(132) - 2*sqrt(132) - sqrt(132)) + sqrt(297)\/(sqrt(36)\/sqrt(4)))\/(sqrt(1100)*-1 - sqrt(1100) - sqrt(44)).\nAnswer: -3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -156, -3, 3, 1, -5.\nAnswer: -156, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from {v: 4, q: 6, h: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 22. Suppose 4*h = c + u, -3*h + 22 = -h + 4*c. Let x be (2 + (-6)\/7)\/(20\/70). Solve i + x = -h*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3 - m - 15*m + 7*m + 3*m. Let k = 7 - 10. What are the prime factors of w(k)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/510*3)\/(((-18)\/6)\/126)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/405 >= -456043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/2 + (-5)\/(-5))*19. Suppose 5*z - 1 = -11, 4*z = -3*c + j. What is the remainder when 44 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 2*d + 21. Let y be u(5). Let z be (-4)\/(-2)*y\/12. What is the highest common divisor of z and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 275*o**4*y - 3*o**3 - 16*o**2*y + 58*o*y + 268*o + 2*y wrt o?\nAnswer: 3300*o**2*y - 18*o - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4 + 2 = 0. Let v(m) = 3*m**2 + 4*m + 6. Let l be v(b). Suppose -3*f + l = 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: Let g = -3 + 14. Suppose 4*o - 240 = -x, o - 5*x + g = 71. Suppose -q = 3*q - o. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/10*185\/(-4) and -8*-5*(-4)\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2088, -4376, -6914, -9702, -12740, -16028, -19566?\n\"Answer: -125*p**2 - 1913*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 2, 3\/2, -0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence un when two letters picked without replacement from {k: 2, e: 3, y: 7, n: 2, i: 3, u: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.237275 and 0.5?\nAnswer: 0.1186375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29139.\nAnswer: 3, 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1083\/(-513)*(-90)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*w - o - 19, 2*w - 8 = -o. Suppose v + w*h = 3*v + 2, -4*v + 28 = -2*h. Let s = 119 - v. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.67731157 to 2 dps.\nAnswer: -21.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**5 + 108*z**4 + 4314*z**3 - 43868*z**2 - 1251624*z + 4024944 = 0. What is z?\nAnswer: -22, 3, 18, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/190 and -119\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*i = -102*i + 110 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 4) + 2 + 0. Suppose 3*m + 4*y = 6, o = 3*m - 5*y - 0*y - 6. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 165, 163, 141, 87, -11, -165, -387, -689?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 96*x**2 - 134*x - 3463. Determine p(-97).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -26432, -53203, -80222, -107489, -135004?\n\"Answer: -124*v**2 - 26399*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 - 34*l**2 - 129*l - 4333. Determine q(-34).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - 1. Let w be (11 + -1)*(-5 - 77\/a). Suppose 110 - 40 = 2*z. Calculate the greatest common factor of w and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07482191999 to 5 dps.\nAnswer: 0.07482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 332051 is divided by 555?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -1 + 4*k**3 + 0 + k**3 + 2*k. Let w(n) = n + 12. Let v be w(-9). Suppose 4*d = 4*m - 4, 3 + 4 = d + v*m. Calculate g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tfff when four letters picked without replacement from fgfffffft?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/6*3\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0499 - -0.1499. Which is the closest to 1?  (a) z  (b) -4  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-144)\/450)\/((-712)\/(-2670))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 94178711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 - 39 = -386*w + 392*w + 3*m, -m + 70 = -5*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 2)*(-4*y**4 + 0*y**4 + 3*y**4 + (-2*y + 0 + 0)*(-2*y**2 + 2*y**2 - 2*y**3)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.18 - -0.2748\nAnswer: 0.4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -19 + 24 + 7*c + 0*c + 4*c**2. Let l(s) = 2*s**2 + 3*s + 2. Determine 14*l(a) - 6*r(a).\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 55*t. Let s be l(-44). Let c = -476 + s. Solve 3*b - c*b = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -6, 0.4, 3, -15615\/7, -3, -5\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 282881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ymct when four letters picked without replacement from {t: 3, m: 5, y: 2, c: 5, b: 1}?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 15 = 30. Let b = 3535\/2 - 1733. Calculate the common denominator of ((-152)\/(-200))\/((-8)\/v) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19.43?  (a) -79  (b) -5  (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 36897400 divided by -5\nAnswer: -7379480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19\/6?  (a) -2\/11  (b) -39  (c) -0.3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v - 3*n + 1055748 = -7*n, v + n = 131970. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + y - 4. Let d = y + -2. Let v(a) = -a + 49. Is v(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2748266.4 months in decades?\nAnswer: 22902.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.2, -3, -5909, -0.43, 2\/9 in decreasing order.\nAnswer: 2\/9, 0, -0.2, -0.43, -3, -5909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -766 (base 8) to base 16.\nAnswer: -1f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21.62538 litres?\nAnswer: 21625.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-6)*(-30)\/(-9). Let s = -289 - -287. Which is the nearest to -1?  (a) -4  (b) p  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from xxjjjxjjjxjjxxjx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**8\/168 - 103*h**7\/210 - 51*h**5\/10 + 271*h**2. Find the third derivative of l(m) wrt m.\nAnswer: -120*m**2 - 2472*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 PM and 7:45 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-10)*16\/(-12). Put 2, 0, i in decreasing order.\nAnswer: 2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2\/15  (b) 0.5  (c) 4845  (d) 802\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -9 + 10 - (-242 - -216).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 473.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5 = 4*a, -q + 0*q = 2*a - 11. Let w(k) = -2*k - 1. Let m be w(-2). Let f = 1 + m. Solve 12 = -3*x - 2*x + 3*r, -3*r = -f*x - q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -1\/3*x**4 - 1\/15*x**6 + 0*x - 1\/5*x**5 - 1\/3*x**3 + 0 + 3*x**2 - 1\/105*x**7. Factor y(b).\nAnswer: -2*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4301526 < 4301550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 7*p + 48 = 0. Let j be (p\/8)\/(2\/4). Let h = 7 + -4. Solve 0 = -v - 3*n - 8, h*n = j*v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85a8ce (base 15) to base 16.\nAnswer: 611add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -15 - (76\/95)\/((-4)\/(-10)). Let o = a + 33. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o + 12. Let c be k(11). Suppose -2*r - i = i - 12, 2*r + 4*i = 14. Calculate the highest common factor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 802*k**2 + 14*k - 19. What are the prime factors of i(2)?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 - 5*z. Let n be f(-5). Suppose -3*t = -2*o - 15, -2*t + t - 2*o - 3 = n. Let a = -1 + t. Solve -v + a = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163148 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -85, -75, -57, -31, 3, 45?\n\"Answer: 4*s**2 - 2*s - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 2*j - 5*i + 127925 - 127865, 0 = -3*j + 5*i - 80 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -30\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z - 23*z - 201 = 0. Suppose -5*c - 17 = -z. Suppose -23 = -5*m + 162. Calculate the remainder when m is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240 + 20610333*s - 20610331*s + 1093.\nAnswer: 2*s + 1333","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l + 12. Let o be j(9). Sort -5, 4, o in ascending order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 - (2 - 11 - -2 - -13).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o + 34*o = -4. Let w be ((-32)\/12 + o + 3)*-120. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -481000 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*q + 75 - 68 + 71.\nAnswer: -96*q + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/210 and 71\/112200.\nAnswer: 785400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - n + 2. Let z(s) = 2*s**2 - 3*s**2 - s**3 + 8*s**2 + 3 + 2*s**3 + 6*s. Let k be z(-6). Let f = k + -1. Determine b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 205 + -110 + (9 - (3 - 3)) - (2 - -3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(48\/10))\/(5\/45)*-3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -939903.6 to the nearest ten thousand.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*b + b + 4*b + (0 + 0 + 2*b)*(-1 + 2 - 2) + 0*b + 3*b - 2*b + 4*b - b - 2*b + 7*b + 8*b - 4*b as l*b + r and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*c**2*l + 2*c**2*r + c*l*r + 61*c*r - 380*l*r - l wrt c.\nAnswer: -12*c*l + 4*c*r + l*r + 61*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*d = 45, -29 = -5*p - 4*d + 16. Do 24\/5 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -256*k + 1682 = -227*k. Calculate the greatest common divisor of k and 2146.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1769*p + 112*p + 1019*p - 1953*p - 1410*p to n*p + s and give n.\nAnswer: -4001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -17, -30, -43?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 239, 16, 2, -378, -1\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 1 + 0*n + 1\/5*n**5 + 0*n**3 + 3\/2*n**2 + 0*n**4. What is the second derivative of t(m) wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -616.3 and 9028736.9495?\nAnswer: 9029353.2495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5286 is divided by 948.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 74 or 73?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) + (2*sqrt(80))**2 - (sqrt(2420) - sqrt(2420)*2)) + ((sqrt(1620) + 1)*-4)**2)*-5.\nAnswer: -131280 - 3000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7.8 + 0.6. Let l = u - 6.34. Let i = l - 0.06. Which is the biggest value?  (a) 0.5  (b) i  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -1 - (-3 - (24 - 16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 280043017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 4*l + 97 = 0, -6*g = -g + 5*l - 115. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 367 = -5*f, 0*f - 5*b - 156 = -2*f. What is the remainder when 291 is divided by f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 1456*a**2 - 5 - 117*a**2.\nAnswer: 1339*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 804414393 to the nearest integer?\nAnswer: 28362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 1:23 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 2*v**6\/5 - v**4\/24 + 17*v**3\/3 - 63*v**2. Find the second derivative of l(a) wrt a.\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 - 4 + 0*k**2 + 7 - 2*k + 3*k. Let s(q) = -q**2 + q - 1. Let i(o) = -r(o) - 3*s(o). What is c in i(c) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -0.095795527\nAnswer: 0.0095795527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 423 divide 265099027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 36564 divided by -1?\nAnswer: -36564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000 + -22?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -334a46 + -b?\nAnswer: -334a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21*19\/1596)\/(22\/40).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7)\/((x\/(x**(2\/5)*x*x))\/x)*x**(-2\/3)\/x**(-3\/7))**(-48) assuming x is positive.\nAnswer: x**(8128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -8 - -3 - (1775 + 16\/4). Let y = s + 3119. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203085 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20623 + -52316?\nAnswer: -31363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 1) + 3213\/60. Let a = -364\/5 + d. What is the common denominator of (-2)\/(-7) - (-285)\/154 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11743981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*t - 24*t - 28*t + 72*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4\/9 - 82*a**3 + 137629*a**2\/9 - 60188*a + 538756\/9.\nAnswer: (a - 367)**2*(a - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.62 + 0.25. Let m = 0.370002 + p. Round m to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + ((-2)\/1)\/2. Suppose -5*n - 36 - 44 = -5*i, -q*n = 5*i - 66. Let l = 132 + -76. Calculate the greatest common factor of l and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*z - 38*z - 39*z = -37*z + 7650 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w = 4*n + 128, -2*w = 58*n - 63*n - 3*w + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-39)\/15 - (-8)\/(-20). Let d(c) = -2*c**2 - 7*c - 3. Let p be d(l). Suppose -2*i + 64 + 224 = p. What is the highest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 148, 432, 858, 1426?\n\"Answer: 71*z**2 + 71*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(13)*-1)*-6)**2.\nAnswer: 216*sqrt(13) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 806854939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1270128 by 4504.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -c**3\/2 - 15*c**2 - 4*c. Let g be i(-12). Solve 3*m - 4 = -2*p - 11, -2*m - p = g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 2. Let h be w(-2). Let i = h + 2. Let o(l) = l + 4. Determine o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 - -0.5. Let v = -18 + h. Let p = v - -21. Which is the third biggest value?  (a) -3  (b) 1\/2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**6\/90 + y**5\/20 + y**4\/12 + y**3\/18 + 16*y. Factor n(t).\nAnswer: t*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6165)\/(-12) - (-4)\/16. Suppose -4*d = -6*d + k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 5 = -s, 4*l + 5*s - 9 = -54 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*5\/((-30)\/12). Let g(h) be the first derivative of h**2\/2 + 3*h + 104. Give g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -9*j**8\/112 + j**5\/10 - 8*j**2 + j. Let y(t) be the first derivative of q(t). What is the third derivative of y(w) wrt w?\nAnswer: -1620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**2 - 3*c**3 - 2*c**2 - 15*c**2.\nAnswer: -3*c**3 - 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*b = -123*b - 150 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1161.461509 rounded to the nearest 10?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 679395952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 185, -0.5, 1 in descending order.\nAnswer: 185, 1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*d + 42*d - 153*d + 58*d + 3251*d**2.\nAnswer: 3251*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.29542, -3\/8, 3\/463 in increasing order.\nAnswer: -3\/8, 3\/463, 1.29542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**2 - 342380*l + 30511425.\nAnswer: -5*(l - 89)*(l + 68565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 42644819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-1\/8)*r)\/r)\/(r*r*r*r\/r**4*r*r*r))\/((r\/r**(-8\/3)*r)\/(r\/(r**(-8)*r))) assuming r is positive.\nAnswer: r**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t**3 + 0*t**3 - 16*t**3)*(6*t - 4*t - 4*t)*(-16 + 16 - 4*t).\nAnswer: -96*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 161351*o**2 - 70774 with respect to o.\nAnswer: 322702*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.97 + -2. Let n = -1.03 - z. Let x = 5 + 0. Which is the third biggest value?  (a) n  (b) 2\/7  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -1. Let i(a) be the first derivative of 0*a**2 - 1\/2*a**4 - f - a + 0*a**3. Differentiate i(l) with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 366892 and 1987788.\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0289923 - 0.029. Round x to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-10)*6\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 4 + 7 - (4 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 40*h**2 + 41*h - 75. Determine p(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 21*c. Let v(u) be the second derivative of -2 + 0*u**2 + 0*u**3 - 1\/4*u**4 + 3*u. Calculate v(z(m)).\nAnswer: -1323*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3503471*c**2 - 342079*c?\nAnswer: 7006942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-951 + 121 - 2*i**2 - i**2)*(0*i - 2*i - 1 + 0*i) to the form x + c*i**2 + k*i + a*i**3 and give x.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 60 + 7*n - 42 + 76.\nAnswer: 7*n + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/144*-4)\/(6\/216).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30667809461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 17365*k - 190978. Give c(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 70635782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 z, and 1 f when four letters picked without replacement from ddzzdzfd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/5)\/h)**26 assuming h is positive.\nAnswer: h**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4 = 0, 0 = 6*z - 2*z - 4*m - 20. Suppose -6*h - 4*g = -2*h + 4, h - z*g = -5. Is h\/(-7)*-1 + (-4899)\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32213120020 (base 4) to base 3\nAnswer: 21012122120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*x**(-21)*x*x)\/x)\/x**(1\/9))\/(x\/(x**(2\/27)\/x))**(1\/4) assuming x is positive.\nAnswer: x**(-502\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 7:02 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -20. What is the remainder when 1\/(0 - (-1 + 0)) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 18\/3239891 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -51*m**2 - m + 5. Determine z(-2).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r. Suppose 0*f = f - 2. Let v(g) = 3 - g**f - 3. Give v(j(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -219*q**2 - 426*q + 3. Determine u(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31*r**5 + 16*r wrt r.\nAnswer: -620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(-10) - 5\/(-25). Let o be a\/4 - 35\/(-4). Suppose o = w - 10. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 v when four letters picked without replacement from {j: 7, b: 4, v: 6}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 + (-5 - 6) + -175. Is -180 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2 less than or equal to -2\/655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/279 and -65\/1973553.\nAnswer: 5920659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of -t**6\/70 + 3*t**5\/35 - t**4\/7 + 10*t. Let d(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38685 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 5*q**2. Let j(l) = -4*l**2 - 14*l + 14*l + 6*l**2. Give j(d(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 2*n + 12. Let b be (287 + n + -7 + 1)*-1. Let p = 464 + b. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/(sqrt(10)*-2) + 3.\nAnswer: -sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06984 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from brrrrrrrrbrb. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 20 = 7*u. Suppose j + j = -4*l + 24, 3*l - 48 = -u*j. Suppose 0 = -16*g + j*g + 380. List the prime factors of g.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214756273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 5689*d - 159291. Give z(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (12\/14)\/(-3)*189\/(-189)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32722\/23 - 1424. Find the common denominator of (-482)\/55 + (-908)\/(-2497) and f.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 207 - 0.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 AM and 8:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1255*k + 1097*k - 2362*k + 4.\nAnswer: -10*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 385*y. Let m be f(2). Calculate the greatest common factor of m and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/27)*u\/(u*u**19) assuming u is positive.\nAnswer: u**(-515\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*l + 361*l + 2712 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 989406, 1978795, 2968160, 3957489, 4946770, 5935991?\nAnswer: 6925140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1354775 by 1.\nAnswer: 1354775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78967 by 2723.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/2  (b) 2\/7  (c) 0.2  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96\/(-12) + -3 - (-3975)\/360?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3462 - -16823. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and -45931?\nAnswer: 275586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -190780809, -381561618, -572342427, -763123236, -953904045, -1144684854?\n\"Answer: -190780809*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 + -3 + -2 + 2 - 8 - 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u + u**2 - 93*u + 193*u - 95*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59, -153, -315, -551, -867, -1269?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2598?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 154 and 3058?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-324)\/5)\/(-9)*(10 + 0). Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 101832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -95*f**2 - 16*f + 4. Let x(b) = -94*b**2 - 12*b + 5. What is 3*h(y) - 4*x(y)?\nAnswer: 91*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*y**5 - 9*y**4 - 65*y?\nAnswer: 80*y**3 - 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3*y**2 + 0 + 1)*(y + 0*y + y) as r*y**2 + v*y**3 + f*y + g and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z + 2*z + 0*z)*(3 - 8 + 1)*(2*z**2 + 0*z**2 - z**2).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-10))\/(63\/(-540)*-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b**3 + b**2 + b + 1. Let v = 3 + -4. Let j be c(v). What is the common denominator of 10\/44 - 2\/j and 55\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -237.703?\nAnswer: 713.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 1231.\nAnswer: 5\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -35 + -60 + 12\/2. Let j = 213 + k. What is the remainder when j is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -29?  (a) -0.1  (b) 5  (c) 1\/3  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*n + 4*n - 8*n + 12*n to the form t + d*n and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11214203 and 4235.\nAnswer: 616781165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**3 + 16*v**2 - 3*v - 8. Calculate the least common multiple of 14 and s(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (27 + -16 + 21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-6 + (-3 - (4 + -10)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-143)\/13156)\/(((-3)\/3)\/((-8)\/(-1)))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1206*v + 7*v**3 - 1251*v + 105*v**4 - 103*v**4 + (1 - 1 + 2*v)*(-2*v**3 + v**3 - v**3).\nAnswer: -2*v**4 + 7*v**3 - 45*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 190 + -193. Put -2\/3, 5, u, -1\/5 in decreasing order.\nAnswer: 5, -1\/5, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 962e0e9?\nAnswer: 962e0ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-4)*(1 + -3). Factor 4*o - 3*o**w + 2*o - 3*o.\nAnswer: -3*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + -1. Let r be t\/(-14) + (-6)\/21. What is the third derivative of -4*q**4 + 2*q**4 + r*q**2 + 4*q**2 + 3*q**4 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -1 - 3 - 9*n - 3. Let c(v) = -5*v - 4. Let k(w) = 5*c(w) - 3*x(w). Let a = -3 + -1. What is k(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150231023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((l**3 - 3 + 3)*(2 - 2 + 1) + (-l**2 + 2*l**2 + 0*l**2)*(0*l - 8*l + 3*l))*(-57 + 87 + 19)*(-2 + 1 + 0).\nAnswer: 196*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*w - 15, -2*w + 31 = -2*k + 7. Let v be 0 - 1*114\/(-3). Suppose -p + i = -2, -3*p + i = 6*i - v. Calculate the highest common divisor of w and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-43 + (-13)\/(117\/36))*-17 is divided by 216.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 2*w - 4*w + 94, -5*w = -25. Let x = j + 85\/4. Let z = 6 + -3. What is the nearest to x in 1\/6, z, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2440)\/10248)\/((375\/(-18))\/5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(81\/(-2))*2\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m*u**2 - 67*m*u + 37*m + 286059*u**2 - 13 wrt u.\nAnswer: -2*m + 572118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4545200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 1.9. Let t = 12 + -17. Which is the closest to x?  (a) t  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*h**2 + 25*h**2 + 36*h**2 as b + s*h + o*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1879 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 28 = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -11721771950 to the nearest 1000000.\nAnswer: -11722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of -8*c**3 + 1. Suppose x - 789 + 3464 = 3*o, 2*o - x - 1783 = 0. Let j(s) = 897*s + o*s - 1787*s. What is a(j(n))?\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 11 + 14)*(g + 3 - 4 + 2*g).\nAnswer: 24*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 306985.\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3304 and 308168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/324)\/((-3136)\/504)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 4*t, k = 4*k + 5*t. Let o(r) = 39*r**3 - 63*r**3 + 25*r**3 - 7. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = 10*d - 9753. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.12819 - -0.02819. Let v be (-3 - 0) + 28\/7. Let k be (-1)\/(-5) - (-21)\/245. What is the closest to s in v, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - t = -20, 0*t - 34 = -5*c - 2*t. Suppose 2*f - 3 = 2*r + r, -3*r = f - c. Suppose 5 = x - u, -f*u + 12 = x - 13. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-437844)\/(-17548) - (-34)\/697?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18819 - -28275. List the prime factors of h.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) -1\/5  (c) 1180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*o - 2795 = -3579 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003990814175 rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -26*66\/(-1144)*1\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 19*v - 40. Let p be z(-21). Let u(r) = -8*r - p*r + 8*r + 3*r. Let w(l) = l + 17. What is w(u(b))?\nAnswer: b + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/6 - 16\/(-12). Let v(j) = 415*j + 6. Let c be v(y). Let t(p) = -210*p - 212*p + c*p. Calculate t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46*r**2 - 23*r**2 + 12 - 21*r**2 to c + k*r + s*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o. Let i be 3 + 5 + 1 + 2. Let u = i + -9. Let k(q) = 4*q**u - 7*q**2 - 2*q**2. Give k(m(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*-2 - sqrt(68))\/sqrt(4) - -3*sqrt(68).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 78 and (-4320)\/560*(-28)\/3.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 7, w: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(288)*4 - sqrt(288))**2 + sqrt(24)\/((-1*sqrt(108))\/sqrt(9) - sqrt(12)))*6.\nAnswer: -3*sqrt(2) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.03*-3365\nAnswer: 100.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 38472 divided by 3\nAnswer: 12824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -25*r + 517. What is b(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.4 - 2. Let l = -2\/109 - -113\/218. Which is the third smallest value?  (a) 3\/5  (b) l  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1897396746 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 15*y**2 + 17*y - 16. Let c be n(16). Suppose -s + c*s = 4*a - 115, -3*a - 3*s + 93 = 0. What is the greatest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.0641 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11272.61858 + -11272. Round o to 2 dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 784\/5 + -156. Let f(x) be the first derivative of 0*x**4 + 0*x**3 - s*x**5 - 4 + x**2 + 0*x. Find the second derivative of f(b) wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 4*w + 8. Let d be g(-2). Let t be (-2 + 3)*d + 0. Let n(i) = i. Let a(l) = 1. Determine t*n(z) - a(z).\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1\/2, 154, 0.11, -0.3, -2\/83?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 1\/16  (c) 5  (d) -1\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -5*f + 89, -4*p = 4*f - 0*f + 108. Let i = 33 + p. Find the third derivative of -5*b**2 + b**2 + 13*b**i - 9*b + 9*b wrt b.\nAnswer: 780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2000 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -201110121100?\nAnswer: -201110121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-45)\/(-10)*2\/3. Let j(g) = -o*g - g - 2*g + 7*g. Let t(h) = 5*h**2. Determine j(t(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 + 129. What is the greatest common divisor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.53 + 0.07. Let f = 33069 - 33067. Sort 3, w, f in descending order.\nAnswer: 3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/49 - -125\/539. Are 1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1641 - -2964. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 45111570?\nAnswer: 4511157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -245516 or 8?\nAnswer: -245516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 319615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3 = -27. Let z(c) = -c**2 - 6*c + 2. Let p be z(h). Solve p*n - 3*n = -2*k + 8, 0 = -k + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/17 in 0.4, 7, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vfvfvv. What is prob of picking 4 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 2*m**3 + 5 - 6*m**3 + 5*m**3 + 4*m**3 + (-m**2 + 5*m**2 - 2*m**2)*(-3*m - 10*m - 2*m) as p*m + g*m**2 + y + o*m**3 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/2)*x)**(-47))**(2\/9)\/((x\/x**1)**17*(x\/((x**(-1)\/x)\/x))**(-21)) assuming x is positive.\nAnswer: x**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4652.07918*2.\nAnswer: -9304.15836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 c, and 1 p when four letters picked without replacement from ppppwppqppcwpppcwppc?\nAnswer: 39\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102362?\nAnswer: 2, 13, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 31*h**2 + 21*h + 1434. What is v(33)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1142881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -5. Let p = 2.3 - i. Put p, 0.1, -0.5 in descending order.\nAnswer: p, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 358 divide 630854712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -394 + 391 = -t. Suppose 98 = -t*j + 104. Solve -j*o = -6*o + 4, k + 3*o = 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45789372 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4\/5*g**5 - 4\/5*g**4 + 8\/5*g + 4\/5*g**2 - 12\/5*g**3 + 0 = 0. What is g?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -5173, 16 in ascending order.\nAnswer: -5173, -12, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 6 + (1 - (4 + 1)) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 406\/1665 - 4\/185. Let f = -7876.48 + 7876.08. What is the nearest to x in -2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2296456.\nAnswer: 2, 287057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1625951 is divided by 134.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-28)\/105)\/(1\/10))\/((-2)\/(-9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from rrurpuurrupppu?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3*c**2 - 1. Let y be t(-1). Let m be -4*3\/y + -1. Suppose -m*a - 2 = 3*u - 0, a + 8 = 2*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/20603030 and 32\/539.\nAnswer: 226633330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 + 12 - 71*l**2 - 4*l + 219*l**3 - 667*l**3 + 223*l**3 + 227*l**3 to c*l**2 + x + h*l**3 + d*l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -952, -3817, -8592, -15277, -23872, -34377?\nAnswer: -46792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 6:08 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47626820*z - 60737242.\nAnswer: -47626820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 658327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 + v - 1. Let b be y(2). Let a = b + 6. Let j be (-15)\/(2\/((-8)\/a)). Solve 2*k = -2*x - 0*x + j, 4*x - 35 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1556 + 4?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 36\/48*(-20)\/45\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(2))\/sqrt(5) - sqrt(9)\/sqrt(3)*-1.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 19. Solve -3*d + 2*h = -5, o = 3*d - 0*d - 3*h - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*o**3 - 7*o**3 + 1 + 43*o - 26*o - o**2 + 7*o**4 in the form w*o**2 + a + m*o**3 + r*o**4 + y*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 398.287 - 0.287. Let h = 396.7 - u. Which is the biggest value?  (a) 3  (b) 0.5  (c) -2  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -13. Let z = 2 - h. Is 2\/(z + (-3820)\/(-3812)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 - -27. List the prime factors of t\/21 - 1360\/(-14).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 2:48 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from jamunuupuuuumua.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l. Let v(q) be the second derivative of 2164*q**3\/3 + 3525*q. Give m(v(n)).\nAnswer: -8656*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12012*d**3 + 5*d**2 + 3*d - 987600 wrt d?\nAnswer: 36036*d**2 + 10*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 184 + -917\/5. Let t = 2809.5 - 2809. Which is the third biggest value?  (a) 0.2  (b) -7  (c) p  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16116204 (base 9) in base 16?\nAnswer: 7ab525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118 + -16 - (-6)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 6, -4*z + 23774 + 7982 = -2*k. Suppose -4*f + 3*p + 12584 = 4642, -4*p - z = -4*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -6, 1, -1468, 2.\nAnswer: -1468, -6, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -5 - (13 - 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 129786 = -3*g. Let n = g + 14718. Suppose 0 = -3*h - n - 136389. What is h rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 2696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(320)*-1 + -1 + sqrt(320) + sqrt(320) + (sqrt(320) - (sqrt(320) + 1)) + 5)**2 + -1.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1068286 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 5*j**2 - 13*j + 7. Let t be d(-7). Suppose -4*s + 2*s = t. What is the derivative of 14*w**4 - 6*w**4 - 3 + s wrt w?\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 8*l + 9. Let n be z(-9). Suppose 129 = 3*c - n*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/14 and 37\/61688.\nAnswer: 431816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 85*g**2 + g + 1. Suppose 234 = 8*y - 6*y + 4*z, -y + 129 = 5*z. What is the remainder when n(-2) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*m + 40*m - 40*m + 104*m to the form v*m + u and give v.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-195)\/(-182) + 2\/7*-2. Let -u*l - 1\/2*l**4 + 0 - 3\/2*l**2 - 3\/2*l**3 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 2:42 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 8*w - 5*w. Solve 0 = -5*n + 2*f - w + 1, 0 = -n + 2*f - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14185, 14190, 14205, 14236, 14289, 14370, 14485, 14640?\nAnswer: 14841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 3\/914125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/14)\/((-840)\/(-56)*-76*(-4)\/(-336)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11102 + -118?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + c - 7933 = 0, -c - 5474 = 5*x - 45143. Let a be 24\/(x\/1588 + -5). Let k = a + 11252. What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106471770 is divided by 417.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 - -42. Let x = -73.61 - -74. Let j(r) = -57*r - 454. Let g be j(-8). Which is the nearest to x?  (a) n  (b) 4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2646639, 5293480, 7940321, 10587162?\n\"Answer: 2646841*v - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 7:05 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*v**5 + 14*v**2 + 46*v**5 - 4*v**2 wrt v?\nAnswer: 4920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-64)\/(-24)*(1\/(-2))\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 1\/((-5)\/(-15)). Suppose 0 = h*s + u + 2, -2*u = -4*s + 4. Suppose -2*q = 3*q - 5. Sort -0.2, q, s in descending order.\nAnswer: q, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4*(-1)\/(-2))\/13. What is the fourth biggest value in 0.4, -3, -0.4, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -44*h - 466. Determine u(-14).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -4*u + g - 1034, 0 = -2*u + g - 518. Let o = u - -275. Let s be 7 - (-2 + -1 + 2). Solve 2*m - 6*m = -2*f - s, -3*m + o = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*f**2 + 26*f**2 - 9*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 3:06 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -208443704 divided by 52110926\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -52*n + 52*n - 4*n**4 + 2*n**4 + n**4 - n**4 + (0 + 0 + 2*n**4)*(-1 + 0 + 0) - 2*n**4 - 23*n**3 + 23*n**3 - 5*n + 5*n + 2*n**4.\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 2464 - 10430. Let f = -3437 + x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39441?\nAnswer: 3, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -80 + 31. Let s = g - -48.99999958. Round s to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 685 divided by 5.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7 and 32?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 4. Let w be 76\/510 + (168\/68)\/21. What is the nearest to c in w, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3484 is divided by 801?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 0, 2*o - 2*k = o + 3. Suppose o*r = r. Suppose b + r*b = 6. Sort b, 5, 0.\nAnswer: 0, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k**2 - 40*k + 101*k - 32*k - 29*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m + m + 9*m)*(-4*m**2 + 9*m**2 + 6*m**2)*(3 + 3 - 5)*(13 + 3 + 0).\nAnswer: 704*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/180)\/(6\/(-36)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 128 + 32. Let b = j - 150. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -186*n**4*y + 68*n**3*s*y**2 + n**2*y**2 + 11*n*s*y**2 - 6*n*s*y + 3*s*y**2 wrt n?\nAnswer: -4464*n*y + 408*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -759459765 to the nearest one million.\nAnswer: -759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (82\/6 - 6\/(-18))\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2633478, 2, -5, 5 in descending order.\nAnswer: 2633478, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70 + -5)\/(-3)*5\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -10777.\nAnswer: 53885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 397*1 - (-7 - -143)\/(-34). Which is bigger: 393 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 5*u + 23 = 0, 20 = -145*b + 141*b - 2*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 256940186*p - 242882442 with respect to p.\nAnswer: 256940186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 69403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*h - 267 = -191 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j**2. Let z be t(1). Solve -s = 2*s - 3, z*s + 15 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*6*((-2*sqrt(156)*-4)\/(sqrt(36)\/sqrt(3)*6))**2 + 5.\nAnswer: 847\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 78*v. Let w(x) = x**2 + 103. Determine b(w(f)).\nAnswer: 78*f**2 + 8034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 96 = 5*f. Let p = 36 + f. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/7)*g**(-4)\/g)\/(g**(1\/3)\/g)**(-3\/16)*(g\/g**(-3\/5))\/(g*g\/g**(2\/9))*g**(-3)*g**0\/g assuming g is positive.\nAnswer: g**(-23803\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 365*g**3 + 45*g**5 - 280*g**2 - 15045 + 80*g - 210*g**4 + 15045.\nAnswer: 5*g*(g - 1)**2*(3*g - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 8:23 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10\/13 - 287\/390. Let z(k) be the second derivative of 0*k**4 + 22*k + 0*k**2 - u*k**6 + 0 - 8\/3*k**3 + 0*k**5. Find the second derivative of z(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*r - 8*r. Suppose 0 = -r*z + 5*t - 4, -74*t + 76*t + 8 = 0. Let k(x) = 3*x - 1. What is k(z)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1377\/5 - 12698\/45. Calculate the common denominator of 2\/5 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.593722 litres to millilitres.\nAnswer: 2593.722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -12211311?\nAnswer: 12211320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 5 - 5)*(-5 + 4 + 0)*(2 - 1 - 4)*(-2 + 1 + 4).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -312399 times 0.115?\nAnswer: -35925.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00101899 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 398 - 410 = 0, 5*f + 2*v + 142 = 0. Let h(j) = j**2 + 27*j + 38. Determine h(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 85028 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-328)\/18*(-945)\/(-630))\/((-4)\/(-2)).\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*s**2 + 3 + (-1 + 2*s + 1)*(-1 + 1 - s))*(12400*s**2 + 66*s**3 - 12400*s**2 + 2*s).\nAnswer: -264*s**5 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/32 and 137\/600.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*x = -4*d + 2, -3*d = -4*x + 27. Suppose 4*i - x = -5*q, -16 = -5*q + i - 5. Let g = -4 + 6. What is the highest common factor of g and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 62, 58, 56, 56, 58, 62, 68?\n\"Answer: b**2 - 7*b + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(144) + 1*sqrt(144))*2)\/(6*sqrt(512)*-4).\nAnswer: -sqrt(2)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 37339*f**6 - 9*f**2 - 9*f wrt f.\nAnswer: 4480680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13.5 in 1.3, -0.5, -0.4, 83?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*m - 33. Let z(p) = 4*p + 5*p - 1345*p**2 - 1 + 8*p - m*p. Let j be z(-9). What is j rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 5*w - 200, -2*b - 5*w + 181 = 101. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -55*g - 5. Let i(p) = -96*p - 9. Let o(n) = -4*i(n) + 7*z(n). Let f(k) = 9*k - 3. Determine f(a) + 4*o(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 14*j**3 - 5*j - 15. Let i(u) = 21*u**3 - 8*u - 23. Let q = 10 + -18. Let l(c) = q*m(c) + 5*i(c). What is the first derivative of l(h) wrt h?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 3*q**2 + 2*q. Let i(g) be the second derivative of -1\/12*g**4 + 4*g + 0 + 0*g**2 - 1\/6*g**3. Give i(x) + k(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 70776 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(1\/4)*u))**1 assuming u is positive.\nAnswer: u**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 89\/(-3649)*((-6)\/(-20))\/(270\/225)\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hohro. Give prob of sequence rh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -583*w - 3697 - 1078*w - 1709*w - 511*w wrt w?\nAnswer: -3881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/3 and 133\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/168 and -107\/192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 34, 93, 186, 319, 498, 729?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*r - 10404 = -47*r. What is the highest common divisor of r and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/282 and -40\/9823?\nAnswer: 58938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01381395188 to 4 decimal places.\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 15 + n + 35 - 667*n**3 + 6*n**2 + 37.\nAnswer: -667*n**3 + 6*n**2 + n + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 549072 and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 less than -0.2?\nAnswer: -75.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/(-24)*(-8)\/(-9). What is the nearest to -0.1 in 2\/13, t, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 114246 - -43295. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of ((2 - 6) + 3280)\/((-130)\/(-455))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.1, -19, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (1 + -1 - (16 + -11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 5*i - 19, 4*c = -3*i + 2*i + 14. Solve -3*n + 0*n - c = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1042474 divided by -34\nAnswer: 30661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of 1\/12*z**4 - 7\/6*z**3 + 0 + z**2 - 8*z. Give p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -8*n**3 + 66*n**2 - 23*n + 51. What is y(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 988 divide 809836924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(1100))**2*-3.\nAnswer: 600*sqrt(11) + 16560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 137 - 139. Let y(z) = -4*z**3 - 4*z**2 - 3*z - 7. Let u be y(h). Calculate the greatest common factor of u and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 89*a**5 + 420 - 420 + (-3*a**3 + 0*a**3 + a**3)*(-7 + 17 + 14)*(5 - 5 - 3*a)*(-3*a + 4*a - 3*a).\nAnswer: -199*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 + 4*u**2 - 128*u - 720. What is k(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f*f*f\/(f**(2\/37)\/f)*f)*f*f*f**16*f)\/((f*(f\/f**(-5))\/f*f)\/f**(-12)) assuming f is positive.\nAnswer: f**(-109\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6077468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25191611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2191\/((-1)\/(2\/5) - -3). Let m = l - 1615. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*a*b**4 - 5*a*b**3 + a*b**2 + 116003*a + 714*b**4 + 57*b**3 wrt b.\nAnswer: -72*a*b - 30*a + 17136*b + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -75 + 167. Let i = 274\/3 - r. Let l = 1 - 5. Which is the fourth smallest value?  (a) -0.1  (b) i  (c) -0.3  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -15. Let y = r - -22. Suppose 0 = 2*m + m. Solve m = -y*h - 6 - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/(-48) - 123\/(-18). Let j(o) = -o**3 + 6*o**2 + 7*o + 3. Calculate j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480517 is divided by 238.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x - 3. Let l(w) = -16*w - 5. Let q(n) = 4*b(n) + l(n). List the prime factors of q(-16).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135363 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: Let z(b) be the second derivative of 27*b**5\/10 + b**4\/6 - b**2\/2 - 4*b. Let i be z(1). Suppose -4*r = 4*d - 152, -4*d = -4*r + i + 65. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 1964*m**4 - 1966*m**4 - 7*m**5 - 2*m**2 + 2*m**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3071927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 101760 and 119250.\nAnswer: 7632000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 640*d**2 - 1253*d + 289*d + 440*d**2 wrt d.\nAnswer: 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -3, 822, -5, 3 in decreasing order.\nAnswer: 822, 13, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8558 and 1444746?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -22, -0.1, 2006, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -a + 3 + 3, a = -5*b + 8. Suppose 0 = -3*d - 15, 4*d = 2*i + b*d + 14. Let t(p) = p + 16. Let g be t(i). Solve g*m - 2 - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - 13808.\nAnswer: -13811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*o - 21193 = 10172. What are the prime factors of o?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -4*d - 8, 0 = 3*d - 3*f + 6 + 6. Let r be ((-75)\/2)\/(d\/6). What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 14*x**3 - 2*x**2 + x. Suppose 3*t = -3, d + 2*d = t + 4. What is the remainder when (2 - -1)*(-25)\/(-3) is divided by y(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 8) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71 - -73. Find the first derivative of -11*p**3 - 11 + l + 37 + 33 - 4*p**2 wrt p.\nAnswer: -33*p**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.265398 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4546023 divided by 1623\nAnswer: -2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5043504432 to the power of 1\/2, to the nearest integer?\nAnswer: 71018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*m**4 + 13*m**4 + m**4 + 9*m**2 wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7853161 or 7853162?\nAnswer: 7853162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 0 - (-17 + (6 - -9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5202, 4, 1\/193?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36 + 60 + -38 + (-9 - 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28410916 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5*x + 4. Let f be j(3). Let w = f + 14. What is the closest to 1 in w, -3\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*q**2 + 16*q**3 - 5*q**4 - 3*q**2 - q**2 - 15*q**3 as r*q**2 + g*q + y*q**4 + c + f*q**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3559*y + 7250. Calculate q(2).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (5 - 15) - 21 - -28.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 549*z**2 - 6 - 546*z**2.\nAnswer: 3*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.16 greater than or equal to 429381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2 = -a, a + 3*p = -a + 4. Suppose 2*n - a = -0. Let f = -6984 - -6982. Sort 4, f, n in increasing order.\nAnswer: f, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(1331) - (6*(0 + sqrt(11)))**2.\nAnswer: -398 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 10}. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -23053?\nAnswer: 23050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-190*g - 2135 + 2135)*(1 - 1 + 2)*(1 + 0 + 0)*(15 + 8*g + 2*g**2 - 8*g).\nAnswer: -760*g**3 - 5700*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 356466 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 4. Let x(r) = r - 3. Let a(o) = 3*i(o) + 4*x(o). Let q(f) = 2*f. Let u(b) = -b**2 + 2*b - 4. Let j be u(0). Give j*a(h) + q(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88669.\nAnswer: 7, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100101 + 0?\nAnswer: 11100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -5*g + 133, 2*g - 158 = -4*a + 5*g. Calculate the remainder when 612 is divided by a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 153*v**2 + 440*v - 43. Calculate n(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76242 and 8536.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.34374054 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -65*v**3*y**2 + 532*v**3 + 4*v**2*y**2 + 897*v**2 - 2*v*y wrt v?\nAnswer: -390*y**2 + 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 1035906?\nAnswer: 103590.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 10:05 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31a (base 14) to base 5.\nAnswer: -4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 153*n - 14*n + 1390 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1869 - 1869.5. Suppose 6 = -l - l. Let k = 5 - 5.12. What is the biggest value in y, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 4:30 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -182*z**4\/9 + 178*z**3\/9 + 4*z**2\/9.\nAnswer: -2*z**2*(z - 1)*(91*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-1 - (-1 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d. Let c be g(-3). Let a(r) = -21*r - 27*r + 46*r. Let o be a(c). Calculate the highest common factor of o and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/2835 and -62\/48195?\nAnswer: 48195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11455*f**3 + 24*f - 11450*f**3 + 3 - 5*f to the form s*f**2 + d*f**3 + w + i*f and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 835*u + 4043610 = 925*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 12:44 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 58  (c) 2  (d) -1\/4  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -9*-2*4\/24. Suppose 5*o - 9 = -i, -5*o - 11 = -w*i - i. Suppose k + 3 = 3*z - 7, -6 = -i*z + 5*k. Solve -n = -z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-81)\/(-135))\/((-4)\/((-240)\/27)). Find j, given that 4\/3*j + 1\/3*j**3 - u*j**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtqttqttqt. What is prob of sequence qtqt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of o**5\/15 - 2*o**4\/3 + 2*o**3 + 3*o**2. Let b(k) = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -768*r - 758*r + 3059*r - 756*r - 758*r.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 7*m. Suppose 30 = -m*s + 3*s. Solve 5*q - s = l + l, 0 = -5*q + 3*l + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/30 and -11\/10183?\nAnswer: 305490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 1. Let c = 7 - 13\/2. What is the closest to c in l, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, j: 1, t: 2, q: 1}. What is prob of sequence itjt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r - 6. Let h be j(4). Let v(o) = o**2 - 6*o + 4. Let n be v(h). Differentiate -n - 1 + 4 - 2*c**3 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/5 + 1\/(60\/(-42)). Let y be (4 - 3)\/((-5)\/(-3)). Put w, -0.5, 5, y in increasing order.\nAnswer: w, -0.5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37641477 times 0.2?\nAnswer: -7528295.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-11\/7)\/(o\/(o*(o**(1\/49)*o)\/o))*((o**(-1\/5)\/o)\/o)\/(o*o**(-24)) assuming o is positive.\nAnswer: o**(4716\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 2*u = -0*l - 8, 0 = -2*l - 3*u + 13. Let o be (-600)\/16*(-1 - 1)\/1. Suppose 0 = -4*t - t + o. Solve 5*g - l = t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 104 - -109. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 2 q, and 1 f when four letters picked without replacement from fqeefkuqfe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 97417963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*l - 308*l - 154*l as a + y*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 1850?\nAnswer: -1849.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 - (-4)\/8*38.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -73 in -1, -2, -3, -329\/3, 1\/5, 1\/70?\nAnswer: -329\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 21 = 21*u - 29*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -3*b**2 - 35580*b - 3142857 = 0.\nAnswer: -11771, -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001191 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (9 + -1) - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (5 - (0 + 5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(4590\/(-17))*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-8)*(-1 + (-20)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**2 - 124*c + 2*c**2 + 167*c - 87*c - 183*c in the form q + g*c**2 + y*c and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of n**6\/3 + n**4 - 65*n**2\/2 + 92*n. Differentiate q(i) with respect to i.\nAnswer: 40*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - 3\/((-12)\/964). Let u = b + -1939\/8. Suppose -44*y = -59*y. Is u greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least -21\/838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 35983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -12, -7461.\nAnswer: -7461, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51936323 is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 382457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/3)\/(u*u*u*u**(-2\/17)))\/(u*u**(-7)*u**(-11)))**(-50) assuming u is positive.\nAnswer: u**(-37700\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, b: 4, m: 1, g: 2}. Give prob of sequence mg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1905323581?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 0.1, -18743 in increasing order.\nAnswer: -18743, -3\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -56 + 227. Suppose -4*m = 11 - 31, 4*m = -2*l + 96. What is the highest common divisor of l and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + 12. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 723*q**2 - 6. Let h(b) = 1. Calculate -6*h(t) - i(t).\nAnswer: -723*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307456567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -210225 divided by -5\nAnswer: 42045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 231 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 217981601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is bdad (base 16) in base 9?\nAnswer: 73542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -284.9 + 279.9. Which is the fourth smallest value?  (a) 0.4  (b) -0.005  (c) -2\/11  (d) z  (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-14))\/((-30)\/40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16 + -69 + 8 + -4. Let g(z) = z**2 + 46*z - 143. Calculate g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 138, 137, 136, 135, 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 4) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**2 + 4*q - 9. Give h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*v - o + 5, 13 = 4*v + o. Suppose 2*b + v = 16. What is the greatest common divisor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16313.\nAnswer: 11, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o + o**2 + o**2 + 0*o**2. Let c = 1 - -1. Calculate v(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xwb when three letters picked without replacement from nxfnuwbw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -4*r + 10. Let g(q) = -3*q + 9. Let t(f) = -6*g(f) + 5*y(f). Let p(x) be the first derivative of -3*x**2\/2 - 6*x + 1. Calculate -5*p(l) + 7*t(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 96*l**4\/11 + 511824*l**3\/11 + 33627270*l**2\/11 + 81669750*l\/11 + 50544000\/11 = 0?\nAnswer: -5265, -64, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + (4 - 8 - -306 - -2). Let i = -306 + b. Let m be (-6)\/4*8\/(-45). Is i greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a*d**5 - a*d**2 + 158435*d**6 - 2*d**3 - 4*d**2 - 162*d + 3 wrt d?\nAnswer: 60*a*d**2 + 19012200*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153) - (sqrt(153) + (-1 + 0 + sqrt(153) - sqrt(153))**2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -85, -125, -167, -211, -257?\n\"Answer: -h**2 - 37*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 142, 0, 2, -4, 3, 130, 153 in increasing order.\nAnswer: -4, 0, 2, 3, 130, 142, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 5*j**2 - 6*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of 5*w**4\/24 - w**3\/3 - w**2. Let m be (-8 + 0)*5\/(-10). Let s be x(m). What is the highest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 265 = 56*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/30 and 61\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -993, -3652, -7963, -13920, -21517, -30748?\n\"Answer: u**3 - 832*u**2 - 170*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6\/2*(-8)\/6*(-1078)\/(-308)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 5*a**6\/6 - 4*a**5 + 25*a**4\/4 - 10*a**3\/3 + 8. Find d such that j(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g - 13. Let h be x(-8). Let v(y) = 5*y**2 + 11. Let f(l) = -l**2 - 2. Let a(p) = h*f(p) + 2*v(p). Let t(i) = 2*i**2. Calculate a(t(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -15*k**2 + 11. Let s(v) = 4*v**2 - 3. Let g(z) = -6*d(z) - 22*s(z). Let l be g(1). Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-8)*(0 + 3). Let k = 2 + -4. Let q = k - -1. Is q greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, o: 2, j: 1, f: 5, p: 5, e: 5}. Give prob of sequence pu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 10 = -q. Let y(m) = -m - 11. Let w(x) = 2*x + 18. Let k(o) = 4*w(o) + 7*y(o). Let f(u) = -4. Determine q*k(l) + 4*f(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c**2 + 7*c - 111. What is d(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -227, -2, 462, 5 in decreasing order.\nAnswer: 462, 5, -2, -4, -5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -5, 143, -7.\nAnswer: -7, -5, -2, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 2*w**7\/105 - w**5\/15 + 3*w**2\/2 - 2. Let f(i) be the second derivative of z(i). Find the third derivative of f(q) wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**4 + 2*o**4 + 0*o**4 + (13*o**3 - 17*o**3 + 22*o**3)*(3*o - 5*o + 3*o) + 2*o - 2*o**4 - 2*o - 6*o**4 + 3*o**4 + 0*o**4.\nAnswer: 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 208 - -393. List the prime factors of f.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -368, -1492, -3366, -5984, -9340, -13428?\n\"Answer: m**3 - 381*m**2 + 12*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1421 + -1403. Let w(p) = p**3 - 8*p**2 + 2*p + 5. Let b be w(8). Solve -11 = -4*g + 4*q + b, g = 3*q + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.40036962 to three decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -13. Let o(x) = x**2 - 7*x - 16. Let q be o(9). Suppose -6*n + 12 = -q*n. Solve u*f = -f - a + n, f + 2*a = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 255897.7 times 0.12\nAnswer: 30707.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3394.879 litres in millilitres?\nAnswer: 3394879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.9 + -2. Let t = 2.1 + b. Suppose 4*i = 19 - 3. Is t != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 38*q + 427. Let y be k(-9). Which is the second biggest value?  (a) -1\/2  (b) y  (c) -8  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2004 + 2?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {x: 1, d: 3, o: 1, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 5\/6, 14.7, 2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.887 * -3277\nAnswer: -2906.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2 = -0*y - d, 3*y - 14 = 4*d. Suppose -12 = -5*j + j + 3*i, -j = i + 4. Suppose -4*o + 16 = -8. Solve y*h + o + 4 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 11, e: 2}. Give prob of sequence ss.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 3\/4  (b) 14  (c) -0.8  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 93, 90, 85, 78, 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 0*p = 5*m - 70, 22999*m = 23009*m - 100 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 314 and 1239694294.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(42) + sqrt(672))\/sqrt(3))\/(2*sqrt(7)*-1) + -4)**2.\nAnswer: 20*sqrt(2) + 57\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-3)*2*2\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.2 - -0.2. Let l = 3.01 + -0.31. Let m = -3 + l. What is the second smallest value in m, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -79 - -108. Suppose -d*p = -22*p - 28. Solve -4*k + 8 = -4*l, p*l - k = -4*k - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 151522*h**2 + 9*h - 75688*h**2 - 75720*h**2 - 834*h**3 wrt h?\nAnswer: -5004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6972 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 3 = -0*n + n, -4*n = -5*p + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1))**(-4))**13\/((m**0)**(-2\/13)\/(m**(-1\/7)\/m*m**(3\/4))) assuming m is positive.\nAnswer: m**(1445\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.002194 and -385?\nAnswer: 0.84469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 2:43 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 264 + -160206?\nAnswer: -156612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 174390003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 381 and 1676019?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 54416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 AM and 9:43 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 226 divided by -113.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25634888*h**4*l**3 - h**2*l**3 - 493*h*l**3 + 2*h*l + 8*h + 11*l**3 - 2*l wrt h.\nAnswer: -307618656*h**2*l**3 - 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m - 1. Let v(z) = 4*z - 3. Suppose -4*x + 4*t - 10 = t, -5*t + 12 = -2*x. Let r be 1\/x - -3*2. Give r*a(b) - v(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(139776\/(-96))*4\/(1*2)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 47, 67, 87?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 - -18. Let z be 21006\/(b + 3) - 3. Let o be -2*(1 + 0 + z). What is o rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 58\/9  (b) -3\/32  (c) 1  (d) -3  (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 - -7) + 0\/(-2). Let u be (z\/(-50))\/(9\/45). Let x be ((-3)\/((-9)\/2))\/(-5). What is the smallest value in -0.1, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1183602 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(190) + 2*sqrt(190)) + sqrt(190))\/(sqrt(90)*-2).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 56 + -22?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 3. Let b be (6\/8)\/(1\/a). What is the second biggest value in -0.06, 2\/7, b?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 77, 96, 143, 230, 369, 572, 851, 1218?\n\"Answer: 2*z**3 + 2*z**2 - z + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 7. Let z = 1 - c. Solve 3 = z*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 4 + 3808\/8 - (-4)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 37855838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56864*-31.\nAnswer: 1762784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 1223?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + k**2 - k - 6 - 4*k - 7*k**2. Suppose 0 = 5*g - 2*g - 9. Suppose 4*u + 8 = 3*b, -8*u = -g*u + 5*b + 45. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -9*23\/(-3) + (-4)\/4. Solve 2*o + 15*o - f = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17.2 + 16. Let i = -22.3209 - -28.3209. Which is the third biggest value?  (a) i  (b) j  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*c*v**3 + 164*c*v**2 - 73*c + 13706*v**3 wrt c?\nAnswer: -5*v**3 + 164*v**2 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1081*v = -1082*v - 14 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/179  (b) 2\/17  (c) -5  (d) 2  (e) 0.209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 18*u - 7 - u**2 + 10 - 25*u. List the prime factors of h(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -357*k**3\/8 + 1497*k**2\/8 - 69*k\/2 = 0.\nAnswer: 0, 23\/119, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8.41 + 8.61. What is the second smallest value in -0.3, y, -1.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m**3 - 2*m**2. Let w(s) = -s**2 - 11*s - 16. Let o be w(-9). Let u(i) = i**3. Let y(h) = o*d(h) + 12*u(h). Let y(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, -5, -2, 14, 1 in increasing order.\nAnswer: -5, -2, 1, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 2403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -149 + 80. Let f = -343\/5 - i. Which is the closest to f?  (a) -1  (b) -5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3132 - 1675. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 98558, 98531, 98504, 98477, 98450, 98423?\nAnswer: 98396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -183*n**2 + 5*n + 7. Let w(i) = 61*i**2 - 2*i - 2. Give -2*t(m) - 7*w(m).\nAnswer: -61*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.83 or -11578\/11?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (2 + 3 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -17*l - 201. List the prime factors of a(-25).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 502*i - 317*i - 309*i - 2480 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5639281*z - 1. Let t(k) = 2*k. Determine j(t(a)).\nAnswer: 11278562*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1116, 1123, 1130, 1137, 1144?\nAnswer: 1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8003 (base 14) in base 16?\nAnswer: 55c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3500661 is divided by 844?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-3) + 81 + 2. Suppose -p - 45 = -2*c, -2*c + 5*p - 25 = -a. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = -m. Suppose 0 = 46*r - 34*r - 36. Solve 7*k - 4*k + 5*d + 10 = 0, -r*k = 2*d + m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2628, 4372, 6116, 7860?\n\"Answer: 1744*n + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/2310*-9)\/((-192)\/(-6400))*7.\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 - 81648*a + 75942*a to the form f*a + s and give f.\nAnswer: -5706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - b = -5, 5*c + 2*b + 2 = -2*b. Let z = c + -3. Let s(o) = -2*o**2 + 7*o - 6. Let h(t) = -t + 1. Give z*s(x) - 5*h(x).\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*d + y = -240*d, y = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llla when four letters picked without replacement from aalaaalalaaa.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 5*x = -25, 3*x + 7 = 2*w - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v = 63 + 1. Suppose v*h = 109 - 5. What is the highest common divisor of h and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (598\/2080*-8)\/((-10)\/(-100)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21 and 420?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-35238)\/(-204716))\/((-28)\/(-16))\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -15504 and -0.05.\nAnswer: -15504.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1100461 smaller than -1100464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3088*s**2 - 28 + 20*s - 5*s + 6. Let x be f(10). Let l = 98928 - x. Round l to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 269 - 181. Let o be ((54 + -6)\/6)\/1. Calculate the greatest common divisor of o and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7526816.\nAnswer: 2, 11, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25089 by 13.\nAnswer: 25089\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-32850)\/(-3066)*(-7)\/3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/13))**(-16) assuming l is positive.\nAnswer: l**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*-1*sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77))\/(sqrt(132)\/sqrt(3)))**2 - ((4 + 2*sqrt(7))**2 - 2*(5 + sqrt(7) + sqrt(7))).\nAnswer: -12*sqrt(7) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57\/2 - 28. Let n be (24\/(-27) - -1)\/((-2)\/(-9)). Factor -r*x + 1\/6 + n*x**2 - 1\/6*x**3.\nAnswer: -(x - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -144, -3001, -11278, -27687, -54940, -95749?\n\"Answer: -452*q**3 + 2*q**2 + 301*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 a factor of 433906773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -57*31\/(-8246)*30\/45\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/82374013 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 14 = -35. What is the second derivative of m*r**3 + 9*r**3 - 2*r + r**5 - 16*r**3 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 76*i**2 - 2*i - 495?\nAnswer: 152*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*71.\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - 5, 2*v - 318*z = -319*z + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of -65*f**6\/3 - f**5 - 4*f**3\/3 - 1615*f**2\/2 - 7182. Find the third derivative of u(q) wrt q.\nAnswer: -7800*q**2 - 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 q when three letters picked without replacement from qotleom.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10162 is divided by 299?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**3\/3 + 3*g**2\/2 + 3*g - 2. Let j be s(-3). Solve 0 = -q + 1 + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9364 is divided by 470.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -5  (c) -1370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38*d + 184*d - 55*d + d + d - 4*d + (0 + 1 - 2)*(2 - 2 - d))*(d**2 - 4*d**2 - d**2) to l + v*d + u*d**3 + t*d**2 and give u.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 92 - 48. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2330*x**3 - 1637*x**2 + 1637*x**2.\nAnswer: 2330*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 14 = b, 5*b + 3 = q + 17. Let l = -7 + b. Suppose 3*i + 8 = 2. Put -4, l, i in descending order.\nAnswer: i, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.35 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -21*g + 164. Let n be q(7). Solve 0 = 2*u - n*u + 45 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**11)**(-17\/2)*((y*(y*y\/y**(-19)*y)\/y*y)\/y)\/y**(23\/4))**(-1\/23) assuming y is positive.\nAnswer: y**(-405\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (13\/4 - 1)\/(5\/20) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/414 and -51\/52.\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 111 - 83. Calculate the smallest common multiple of x and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -149, 1, -82203, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -69*p - 124. Let b(n) = -2*n. Let c(l) = -3*b(l) + k(l). Differentiate c(f) wrt f.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -1065*c**2 + 231*c = 0.\nAnswer: 0, 77\/355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 2*u**2 - u - 2. Let v = 188 - 185. What is n(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 3*m. Let v be 1 + (-2 + 0)\/(-2). Suppose m*i - 2*u = v*i - 14, -3*i + 4*u + 35 = 0. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -694*c - 8. Let v be q(-1). Let h = v - -2271. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-2737)\/(-187))\/(-23))\/((-15)\/330)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.820394 - 680?\nAnswer: -692.820394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -220*o + 440. Let p be t(2). Let s(g) be the second derivative of 18*g + p*g**2 + 0 + 1\/3*g**3. Let i(x) = 16*x. Give s(i(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24738.43ng to tonnes.\nAnswer: 0.00000000002473843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, l: 4, d: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 25800051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 7955494.\nAnswer: -5\/3977747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2816 - -6080. Suppose 19*k - 3*k - j = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 37*l**2 - 119*l - 116. Is 110 a factor of q(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 - 93 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 7.296  (b) -2\/5  (c) 2  (d) 1  (e) 6\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 15*j**2 + 19*j + 57. Let u be l(-16). Let t(d) = 1 + 7 + u*d - 1 - 2 + 8 + d**2. What is t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 7 - 15*u**2 - 9 - 1 to the form f*u + r + c*u**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of r**5\/60 + r**4\/6 + r**3\/3 + 26*r**2. Give s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65 - -19 - -20 - (9 - 2 - -1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21.98 - 22. What is the closest to 0.1 in l, 3, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 7*m - 5*m - 84, -5*m + 186 = 2*u. Calculate the highest common factor of 816 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5923*r - 5565 = 5764*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5703*x - 2859*x - 2849*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 246030305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*b = -470 + 288 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 0*i - 2*i + 1 - 7*i. Let p = -3 + 2. What is the units digit of f(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*d - 132*d - 75*d + 14*d.\nAnswer: -247*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvlljjvyyjyljvlj. Give prob of picking 3 v.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2462 (base 14) to base 2.\nAnswer: -1100011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 832 and 5859632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d**2 + 175*d + 3025. Determine x(57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 34094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-14)\/(-3))\/((-1)\/(-24)). Suppose 0 = -8*q + 12*q - p. Calculate the remainder when 529 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 5*z**2 - 11*z - 29. Calculate the remainder when w(10) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4110743 divided by 91\nAnswer: 45173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*l + 118*l = 81*l - 145920. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*a**2*t**3 - a**2*t**2 - 2120*a**2 + a*t**3 + 15*a*t**2 + 309*t**2 wrt a.\nAnswer: -6*t**3 - 2*t**2 - 4240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*f**2*j*u**2 - 627*f**2*j + 3*f**2*u**2 + 2*f + 1128*j*u**2 + j wrt f?\nAnswer: -24*j*u**2 - 1254*j + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*q - 282*q = -101596476. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16238 = 234*i - 24428 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 11 - 8 - 2 - 2 + 2 + 1 - 4 + 1 + (-2 + 3 + 0)*(4 - 3 - 3) + 6 - 2 - 3 + 3 - 3 - 2 + 3 - 8 + 3)*(4*g + 2*g - 3*g).\nAnswer: -78*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -4*c + 31. Let v(p) = 2*p**3 - 3*p**2 - 2*p + 5. Let j be v(2). Calculate the remainder when 32 is divided by b(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8, 117, 298, 551, 876, 1273?\n\"Answer: 36*t**2 + t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*x - 7. Suppose -3*i + 5 = -x. Let b(q) = q + 8. Let u be b(-4). Sort 2, u, i in descending order.\nAnswer: u, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of 8*j**7\/21 - j**5\/30 + 15*j**3\/2 - 26*j**2 - 3. Differentiate n(v) with respect to v.\nAnswer: 320*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -1. Suppose j*u + 1 = u + 2*r, -u = 3*r - 14. Suppose -121 = -5*i - 2*b - 7, 0 = -3*i + u*b + 56. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(8\/16*(-2)\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 7) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -5*n**2 + 37. Let l(x) = -6*x - 38. Let t(b) = -2*b**2 + 4*b + 38. Let f(w) = 2*l(w) + 3*t(w). Give 6*f(p) - 7*v(p).\nAnswer: -p**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-72)\/16 - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3c42 - -b8?\nAnswer: -3b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*y. Suppose 9*x - 4*x = -5*i, y = i - 5*x - 6. Is 0 + (-2)\/i - -17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 52195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 65433847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/((-130)\/10))\/(2\/2*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from ztytzzttztzyyztfy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {i: 4, r: 4, g: 1, f: 1, a: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 6*t = -20. Suppose 6 = -2*b - 3*d, 7 = 5*b - 3*d - 20. Suppose -1 - b = -t*j. Which is bigger: 3\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 15036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -466 + 470. Suppose -4101 = -g*k + 2011. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283095188 to the power of 1\/2, to the nearest integer?\nAnswer: 16825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 4*n + 17. What is k(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, x: 6, j: 2, b: 4, t: 2}. What is prob of sequence bt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 b, and 1 p when four letters picked without replacement from pbppefefffeppmpb.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1681 is divided by 240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g**2 + 4*g - 2. Let k(c) = 5*c**2 + 9*c - 4. Let o(q) = -3*k(q) + 7*l(q). Let f be o(1). Which is smaller: -3\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42617955 to the power of 1\/2, to the nearest integer?\nAnswer: 6528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (-16)\/(3 - 1). Let m(z) = -1. Let h(q) = q - 1. Let s(f) = h(f) - m(f). Let p(c) = 62*c + 255*c - 2 - 322*c. Give t*s(j) - p(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2196 = -l, -5*l + 429 = 2*p - 691. Suppose p = o + 2*x, 5*o - 10*o = 5*x - 2735. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/6  (b) -162  (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-6))\/((-138)\/(-736))*(-145)\/(-696)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-261040)\/1920 - -144 - (7 - 1*-1)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -149150 by 29830.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 97967502 divided by 1333?\nAnswer: 73494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/720940 and 55\/696.\nAnswer: 4325640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhmxjx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-35) + (-16)\/(-7). Suppose -3*f = -3*w + 3, w + w - m = 4*f. Solve -2*b - 3*x - 3 = 0, -b + f*x - 3 = 2*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 2 a, and 1 d when four letters picked without replacement from cdkaadccccc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/700 and 57\/137050.\nAnswer: 1918700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 2*s + 1. Let l be k(2). Let z be -2*l + 3 - 0. Let q be 3*z*(-1)\/(-6). Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/48 at least as big as 572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 55 - b87?\nAnswer: -b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2\/12 + (-6)\/36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-1\/5))\/y*y\/(y**(1\/6)\/y))\/(y**(-7)\/y*y\/(y*y**(3\/2))))\/(((y*y**(-7))\/(y*y**(2\/11)))\/(y**(1\/4)*y*y*y**(-1\/3)\/y)) assuming y is positive.\nAnswer: y**(4231\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 2*l - 32, -5*h + h + 44 = -4*l. Let x = 12 - 9. Suppose -3*c + 5 + 10 = -x*j, -12 = 4*j. Solve -4*o - c*k + 9 = -k, 2*k - h = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2791, -2778, -2757, -2728, -2691?\n\"Answer: 4*v**2 + v - 2796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10000010 (base 2) in base 7?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 2 - 3 + (0 + 2 + 0)*(1 - 5 + 3))*(-1 + 3 - 3)*(-5*q + 31*q + 32*q + (-2*q - 2*q + 0*q)*(1 + 3 + 0))*(6 - 3 + 1) to w + c*q and give c.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6789184*j - 6684003 wrt j.\nAnswer: -6789184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y - 145*y**3 - y.\nAnswer: -145*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/8)\/q**(1\/4))**(1\/4) assuming q is positive.\nAnswer: q**(-3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(300) + -1 + -1 + sqrt(300) - sqrt(300)*3*-4) + 6*sqrt(300)*1 + -4 + 4)**2.\nAnswer: 120000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9864025\/258 + 38233. Let n = u - 1\/86. Let r be (-76)\/90 + (-4)\/(-10). Which is the closest to n?  (a) r  (b) -2  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 10:46 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.7539 rounded to 1 decimal place?\nAnswer: -38.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3 + (sqrt(7) - 2*sqrt(63)) + 3.\nAnswer: -5*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 5*d**2 - 5*d + 6. Let m be (-3)\/3*1*-4. Let i be ((-2)\/m)\/(10\/120). Let y be f(i). Let q(p) = p + 7. Determine q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2122.83 - 2241.1. Let l = t + 118. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/3212 and -21\/22759.\nAnswer: 6645628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -231, -881, -1967, -3489, -5447, -7841?\n\"Answer: -218*f**2 + 4*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**2 + 5*t**4 - 324*t**3 + 0*t + 2*t + 325*t**3 in the form y*t**2 + x*t**3 + c + g*t**4 + n*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 85 = -2*g - 10*w, 4*g + 150 = -2*w. Let c = -105 - g. What is the units digit of (-4)\/(-14) - 5\/(c\/234)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/3, -5, 21, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 3 + 1)*(-4*i**4 + 7*i**4 + i**4) - 3*i**4 - 4*i**4 + 2*i**4)*(47 - 140 - 28) to the form b*i**3 + k*i**2 + q*i**4 + t*i + p and give q.\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 23, -0.1, 0.4, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 384295253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -22*g + 399. Let i be s(18). Solve -5*z - 15 = -i*v - v, v - 4*z = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 512*s**2 - 5*s + 2574. Give i(512).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -13, 5 in descending order.\nAnswer: 5, 1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 4*v + 4. Let u(b) = b - 1. Let k(f) = 4*u(f) + x(f). Let i(j) = -4 + 11 - 3*j - 7. Give k(i(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 745 = 29*r - 1343. What is the highest common divisor of 180 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -0*i - 4*i. Let v(z) = 7*z**2 + 60*z + 98. Calculate the least common multiple of i and v(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13381927.\nAnswer: 13, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*o + 16 = 0, -2*u = -3*u - 5*o - 20. Suppose -3*x = 2*h + 4, 3*h = -5 - 1. Solve u = s - x*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3420 (base 5) to base 7\nAnswer: -1262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 131353 or 131354?\nAnswer: 131354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1018458 divided by -6.\nAnswer: 169743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2497 + -2497.2. Sort 2, 4\/23, d, -6, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, 4\/23, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2836 decades in years?\nAnswer: 22.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-252)*6\/(-24)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 116617 and -5?\nAnswer: -583085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2437.0001059 - 2437. What is i rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 4) + 2 - -2. Let y be (-58)\/(-2)*(c + -3)\/2. Let q = 31 + y. Solve -8 = -2*z, 2*m - 3*z - q*z = -30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4104 is divided by 147?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1052.6 - 1046.6. Which is the nearest to -4\/9?  (a) 29  (b) 2\/7  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*o = -82*o + 80 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2 + 4956*t - 286560.\nAnswer: -3*(t - 1592)*(t - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5*x - 25 = 0, 4*c - 6 = -5*x + 5. Let q = -2 + 6. Suppose 5*f = -a - 7, 4*a - q*f = -0*a + 92. Calculate the least common multiple of c and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3, -6, -17, -36, -63?\n\"Answer: -4*m**2 + 9*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t - 13. Let k be q(-9). Suppose -k = -5*l + 5. Let m(w) = 3*w - 1. Does 4 divide m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 + -3)\/2 + 136. Let j(w) = -w + 137 - v. Let g(l) = 3 + 15*l - 3. Calculate j(g(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 27862350 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -1  (c) -3\/7  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 PM and 9:38 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 + 53. Let y be 1*7 + (-13)\/(b\/15). Solve 0 = -m + y + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 69679 and 1.\nAnswer: 69679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 8*x = -7*x + 39, -63 = 3*r + 3*x. Let n be (714\/r)\/(-7) - 2\/(-6). List the prime factors of (-3 - (-22)\/n) + 1024\/12.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from aaqqnaajtqacaaqanqct?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 - 100*k - 716. Calculate o(108).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 2*d + 22 = 13*w, 8 = -w + 4*d. Suppose -23*j + 931 = -w*j. Calculate the least common multiple of 84 and j.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -555 - -115. Let i be 10\/30*(-4566)\/q. Let h = -29\/20 - i. Find the common denominator of h and -101\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 65, 3\/5, 1.16, -2\/21?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 301423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-14) + (-34)\/(-14). Solve -2*l + 4 = h*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -2*m**4 - 892294*m**3 + 16061940*m**2 = 0.\nAnswer: -446165, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/(-7))\/(204\/357). Let 15\/4*w**2 - 39\/4*w - v = 0. Calculate w.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2 - 4)*(2 - 2 + 2) + 456 - 662 + 489)*(-3*g**2 - g**2 + 5*g**2).\nAnswer: 279*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166 at most 1166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, n: 2, i: 1, a: 3}. Give prob of picking 1 p and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p - 3*p = 0. Suppose p = -29*d + 28*d + 2. Solve 12 - d = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4c - 0?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 522366180 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -165 + 57 + -55 + 134\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 12:54 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {q: 8, b: 1, e: 2, j: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and 43616712945.\nAnswer: 43616712943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y - 3*y + 6*y)*(32 - 32 - y) + (-4*y + 2*y + 3*y)*(2*y + 0 + 0) + (0*y - 4*y + 3*y)*(-4*y + 3 - 3).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 178673 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9793 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 g when four letters picked without replacement from ggeeggggg?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -384713113*n + 392640480 wrt n?\nAnswer: -384713113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 t when four letters picked without replacement from iiytiiqqqqtiddiq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (6014 - 7)*1\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 6. Let x be h\/(1\/(1 - 3)). Suppose -4*m - 586 = -5*f - 0*m, x*m = -3*f + 356. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 20 = -50. Let q = 85 - 50. Let u = q + x. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25342115 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 times -0.142?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1474\/8107)\/((-3)\/693).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34512 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v - 1. Let x be u(2). Suppose -x*i = 5*g - 8*i - 190, i = -4*g + 157. Calculate the greatest common factor of 26 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 958.9 + -997.9. Sort 0.06, -1, i.\nAnswer: i, -1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r = -65. Let w = -6 + r. Is 15 a factor of 2\/w - (-309)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*n + 5*r, 2*r = -3*n + 7*r - 1569 + 1574 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -59*q**2 - 14924*q + 44785. Determine u(3).\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 44 = 5*f, -52 = -4*g - 5*f + 36. Let p = -19 + g. Suppose 0 = -p*w + 24 - 15. Solve w*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 13. Let k be (-168)\/(-9) + 14\/(-21). What is the greatest common factor of k and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - 5*k - k - 5*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1110.2143 + 25768204.\nAnswer: 25767093.7857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -5\/8, -0.1, 9, 3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 426656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a second in milliseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -32, 5361 in ascending order.\nAnswer: -32, 0, 5361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 3*g**2 + 28*g - 17. Let r be 1\/(4 + 164\/(-40)). Let o be p(r). Factor 3 - 9\/4*t**2 - 3\/4*t**o + 0*t.\nAnswer: -3*(t - 1)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0798 and 14868?\nAnswer: 1186.4664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1747 - 1743. Solve 7*z - 17 = 2*z + t, -k*z + 4 = -4*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 2. Let w = q + -5.1. Let j be (5\/50 - 0)\/((-1)\/(-4)). What is the nearest to j in 3\/2, w, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 + 34. Calculate the remainder when 15 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of -5*b**2\/2 - 4412. Let n(c) = -373*c. Give n(u(a)).\nAnswer: 1865*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8 - (1 - 0 - (-14 - 317486\/(-13767))) and 59\/1765.\nAnswer: 5295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t**2 - 23*t - 79. Let p be x(-5). Calculate the highest common factor of 1221 and p.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3103 (base 5) to base 13.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 773*y**3 + 12*y**2 - 24. Let k(p) = 772*p**3 + 14*p**2 - 28. Give 6*k(t) - 7*u(t).\nAnswer: -779*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*2*(-2)\/(-4). Let z be 3*43\/(1677\/(-52)). Put -1, -2, z, m in decreasing order.\nAnswer: m, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302 is divided by 110.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 4*r. Let x(g) be the first derivative of -g**3\/3 - 64*g + 45. Let b(n) be the first derivative of x(n). Give u(b(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -77*r**4\/2 - 77*r**3\/3 - 193. What is the third derivative of n(y) wrt y?\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 74*c**4 + c**3 + 10404?\nAnswer: 296*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 7*a + 1. Give i(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.1?  (a) 1\/19  (b) 8241  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**2 + 5*q + 4*q - 11*q + 4*q**2 + 4 in the form u*q**2 + d*q + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2*b = 155, b - 2 = 2*b. Suppose 0 = 3*m - 4 - x. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -287 + 268. Put u, -5, -4, 0 in descending order.\nAnswer: 0, -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 31 = 37 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 24139819 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iugbgmbggmumgmgm. Give prob of sequence mm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h**4 - 2*h**3 - 9*h**2 + 18*h = 0. Calculate h.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*d + 21*d + 6*d + 45 + 2*d**2 to o*d + q*d**2 + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n + 2. Let g(v) = 6*v - 22. Let u be g(5). What is l(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 6) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42271 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 5*b**2 + 9*b - 4. Suppose 4*r - 6 = 3*r. Let g be y(r). Solve 5*z - 19 = 3*f + 8, 2*z + 5*f = -g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -3*k**3 + 2*k**2 - k + 3. Let w be z(2). Let f = w + 47. What is the highest common divisor of 80 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 + 22 = 15*q. Let b(c) = -c**3 - 29*c**2 - 100*c + 12. Let o be b(-25). Calculate the highest common divisor of q and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**5 + 3094*y**4 - 27194*y**3 - 754646*y**2 + 1578508*y - 799760 = 0?\nAnswer: -13, 1, 20, 1538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 41545278151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -581852381, -581852382, -581852383?\n\"Answer: -j - 581852380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37254.52 + 40380. Let q = x - 3186. Let p = -60 - q. Round p to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26150 (base 7) in base 12?\nAnswer: -4028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, p: 6}. What is prob of picking 2 p and 2 e?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 9*d + 11*i = 65502, d - 32699 = i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/13, 5, 5\/6, 0.62, 3, -1\/5, -2655\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1123*k**2 - 63*k - 10255633 with respect to k.\nAnswer: -2246*k - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3, 6, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -605 + -5?\nAnswer: -60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 - 2.455547\nAnswer: -3.355547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2 + 5383656*t + 5383653.\nAnswer: 3*(t + 1)*(t + 1794551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -24, 736, 4 in decreasing order.\nAnswer: 736, 4, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*p - 15, 2*c + 4*p = -3*c + 75. Solve 3*g = -c - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10 + 18 + 171*f - 28 - 46*f + 33*f**2 - f**3 wrt f.\nAnswer: -6*f + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 + -15. Which is the third smallest value?  (a) i  (b) -5  (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 168*t**2*u**3*z - 1891*t**2*u*z + 1875*t*u**4*z + 1052*t*u*z wrt u.\nAnswer: 1008*t**2*u*z + 22500*t*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1*(6 + -5)*239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nyn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1197 and 42522.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 0. Let l be (0 - 2)*(13 + (-2662)\/44). What is the highest common divisor of l and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2583651 by -3.\nAnswer: 861217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/(-9) + (-1645)\/(-231). Let x = -136\/33 + q. Which is the second biggest value?  (a) -0.1  (b) 0  (c) -2\/7  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w**3 + 30074 - 30074.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.0456 + 21.3\nAnswer: 21.2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 4) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-3 + 6) + -1. Suppose -4*i = -j*i + 8. What is the remainder when 2 is divided by (-1)\/(2 + 5\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from aiaaiigi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*v - 20*v = -72 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 364*g**2 + 7*g + 6. What is the hundreds digit of w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -17 - -11 - (-2 + 5 + -50). What is the highest common divisor of c and 820?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - 20*c**2 - 6*c - 55. Let l be a(20). Let g = 124 - l. Which is bigger: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a - 8 = 18*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 4*t**3 - 28*t**3 - 7*t**3 + 2*t - 7 - 10*t. List the prime factors of v(-2).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j. Let h(r) = -1275*r. Give b(h(g)).\nAnswer: -1275*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + i**2 - i + 1. Let u(f) = -23*f**3 - 13*f**2 - 9*f + 5. Let a = 13 - 12. Let z(n) = a*u(n) - 5*c(n). Suppose z(k) = 0. What is k?\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 56706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwywwwwwywwywww. What is prob of picking 2 w and 2 y?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 7, -w + 39 = 8*a - 10*a. Calculate the remainder when w is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-3\/7)*i*i**(-1\/5)*i*i)**(-12\/7)*((i*((i\/(i**0*i))\/i)\/i)\/i*i**(-1))\/((i*i**(-2\/9)\/i*i)\/(i*i*i**(-5))) assuming i is positive.\nAnswer: i**(-30929\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 8:43 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b + 0 + 2\/5*b**2 = 0. Calculate b.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 31292\/101479 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 461623*p + 7 = -461626*p, -n - 4*p + 36 = p for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -101 + (42 + -44 - (-33 + 21))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -563693\/138 + 12253\/3. Calculate the common denominator of -15\/92 and y.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t**3 - 8*t**2 + 7*t - 3. Let l be v(5). Let i be 432\/(-80) - -6 - (-3)\/(-5). Suppose k + 479 - l = i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 67, 73, 55, 7, -77, -203?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*h - 20*h + 3. Solve 5*x = -5*t + 40, -4*x + 2 = -5*t - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 206 = -106. Let q(m) = -211*m - 1. Let d be q(1). Is 5*(d\/f - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**8\/56 - 49*t**6\/30 + 31*t**4\/12 + 115*t. Find the third derivative of v(p) wrt p.\nAnswer: -120*p**3 - 1176*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 6) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 5*i**2 - i**2 + 1 - 3*i + 6*i**2 - 5*i - i**3. What are the prime factors of u(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -k + 5, -2*k + 3 = -3*k. Suppose -3*l + u = -11. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/5, -1017, 4, 41, 0, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 513904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 8239\/28582?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 3. Let u = d + 8. Let k be -3 - (0 - ((1 - -3) + -3)). Is u smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 11, d: 4, g: 1, e: 2, j: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -7082*h - 28255. Give k(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + g. Let o be y(-3). Let k = o - -3. Let n be 0*(10\/4 + -2). Solve 3*t = -n + k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**3 - 22*n**2 + 2*n - 37. Let a be j(11). What is the common denominator of 43\/5 and 7\/((175\/77)\/(1\/a))?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3780000 (base 9) in base 14?\nAnswer: 3b8adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16043717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**3 + 1140*c**2 - 107601*c - 108744 = 0 for c.\nAnswer: -1, 184, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 10:18 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 1 - 3\/20*a**4 - 8\/5*a**2 - 4\/5*a - 13\/15*a**3. Factor g(p).\nAnswer: -(p + 2)**2*(3*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*a - 435 = 86*a + 735. Suppose 5*n + 166 - 6 = 0. Let k = a + n. Which is smaller: k or -14\/25?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -23*f + 38. Let h(o) = 11*o - 24. Give 2*g(u) + 5*h(u).\nAnswer: 9*u - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**9)**(2\/9) assuming r is positive.\nAnswer: r**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -828544, -828532, -828504, -828454, -828376, -828264?\nAnswer: -828112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 16*c**2 + c - 41. Let b be g(16). Let r(x) = -x**3 - 8*x**2 + x - 6. Let z be r(-6). Let j = b - z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23\/18 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (16\/48 - (-62)\/(-24)) + 4. Let v = -190 - -185. Sort s, v, 0.1.\nAnswer: v, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**5 - 534*g**3 - 7*g**2 + 3036458*g?\nAnswer: -40*g**3 - 3204*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 28*j**3 + j**2 - j + 1. Let t be 6 + -3 - 2 - 0. What is the tens digit of u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -4  (c) -0.1  (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4737, -4776, -4853, -4986, -5193, -5492, -5901?\nAnswer: -6438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 437 divide 223886025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-16) - (-6)\/8. Let k(i) = i**3 + 5*i**2 + 52*i + 348. Let m be k(-6). Factor -3\/4*o + j*o**2 + 7\/4*o**3 + m + 1\/2*o**4.\nAnswer: o*(o + 1)*(o + 3)*(2*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -1785?\nAnswer: -1\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 106173105 times -4?\nAnswer: -424692420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -24.19092758 to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-14)\/1*1*4\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 6318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) + -2 + sqrt(192)*-5 + (1*sqrt(24)\/sqrt(392))**2.\nAnswer: -32*sqrt(3) - 95\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s - 4. Let m(x) = x + 1. Let t be (1\/(-1))\/(-4*5\/80). Let n(w) = t*m(w) + v(w). Let d(k) = 11*k. Calculate d(n(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**4\/2 - 3*s**3 + 3*s**2\/2 + 3*s = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 142542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q - 7*q + q)*(-3*q - 2*q + 3*q) + q**2 - 2 + 2 + 15721 - 2*q**2 + 5*q + 0*q**2 - 15713 to u*q**2 + j*q + s and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17466.874 - -17467. Let u = 2.8 + -2.826. Let g = n + u. Is g < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b**2 + b - 3. Let n(k) = -k**3 - 4*k**2 - 2*k + 4. Let s = -386 - -382. Give s*u(a) - 3*n(a).\nAnswer: 3*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 1 = 5. Let k be 108\/48 - 1\/n. Suppose -4*l = -y + 41, k*l - 8 = -0*l. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n**3 + 10*n**2 + 2*n - 1. Suppose 52 = 2*t + 2*a, 3*a - 102 = -4*t + 7. Let m = t - 35. What is the remainder when 42 is divided by o(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h = 29*h - 112. Suppose q - 5*c = 29, 4 = 4*c - 8. Suppose 234 = 5*a + q. Calculate the remainder when a is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -662, -605, -514, -383, -206, 23, 310?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 + 19. Let r = 23 + q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 345 and 8671?\nAnswer: 130065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.3 in 1\/4, -4, -2, 0.109?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5 + 59061*g - 118114*g + 59066*g. Let k(b) = -40*b - 14. Determine 6*k(p) + 17*l(p).\nAnswer: -19*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 999 = 1935. Suppose -6*b - 4*p = -2*b - 692, 2*p = 2*b - n. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -58 in -158, -86\/13, 3?\nAnswer: -86\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-455708)\/(-103570))\/(3\/((-15)\/2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/92 - (-16643)\/71645?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-2 - 4 - (-1 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 312*d - 322*d - 3 + 2 + 1. Let j(y) = -10*y**2. Calculate u(j(a)).\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/5 and -70\/59301.\nAnswer: 296505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 0.70033818.\nAnswer: -0.210101454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, 165, 766, 1981, 4014?\nAnswer: 7069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -8785.6197676.\nAnswer: -8785.9197676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*a**2 - 2 - 8761*a - 8692*a - 3*a**2 + 17793*a to v + c*a**2 + q*a and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/7 - 1318*c**2 = 0.\nAnswer: -4613, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -4. Let w = -102780 + 13669828\/133. Let t = w - 18\/19. Which is the second biggest value?  (a) p  (b) t  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*x + 261511 - 1870951 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 12*r**2 + 4*r - 8. List the prime factors of t(12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132 and 1078?\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278833 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1056308.5 times -4\nAnswer: 4225234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-28)\/(-12) + (-2)\/6. Suppose -t = -a*t. Let g(h) = -h**3 - 7*h**2 - 8*h - 9. Let d be g(-6). Solve t = -4*v - 4*x + x + 26, 5*v - d*x - 19 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 13*x**2 - 32*x + 29. Let c = 172 - 186. List the prime factors of w(c).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -0*m + 20. Let o(x) = -x**2 + 5*x + 2. Let s be o(5). Suppose 4*f + 40 = m*j, -f - s*f - 15 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 3:51 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 2*n - 949273*n**3 + 949272*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/10 - 39*h**3\/10 + 307*h**2\/10 - 501*h\/10 + 116\/5.\nAnswer: (h - 29)*(h - 8)*(h - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13182 and 3718.\nAnswer: 145002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.15 - -0.05. Let f = -5.1 - u. What is the nearest to -0.3 in -3\/7, f, -3\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -38*l + 2. Let j be q(1). Let s = j + 39. Suppose h + u + s*u - 50 = 0, 5*h + u = 174. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2. Let m = 115 + -79. Let k(y) = 2*y - 36. Determine m*d(b) - 2*k(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 6*x + 3*x**2 + 21 - 48 + 35. Let s be (-1)\/(-3) - 39\/9. What is the units digit of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5681520 by 9712.\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Find z such that -4*z**2\/7 - 44*z + 632\/7 = 0.\nAnswer: -79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 15*r + 2. Let k be o(15). Solve 6 = -3*p, -k*c - p - 1 = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11331331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -700.6 and -0.2.\nAnswer: 140.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 12. Let j be (-2)\/4*(f + -1). Which is bigger: j or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + 23 + -3 + -38 - (-70 - (2 - 3))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {j: 4, d: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 + 8*a**2 + 7*a - 7. Let s(c) = 1. Let h(v) = r(v) + 2*s(v). Let j be h(9). Let b = -21 - j. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -22*m**3 + 5*m**2 - 3. Let q be h(-3). Suppose 639 = -3*p + q. What is the smallest value in 1\/33, p, 0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/55)\/(82\/205)*1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s - 3. Give g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q + 0*q - 3*q + (3*q - q - 3*q)*(2 + 1 + 2) + 15*q + 15 - 15 + 2*q - 2*q - q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from pyailnipaip.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 6*b + b)*(8 - 3 + 13).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -m - 91918, j - 2*m = -3274 + 49221. What are the prime factors of j?\nAnswer: 3, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 8:25 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 317, 601, 885, 1169, 1453?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(144\/20)*-1)\/(155\/(-124)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 24 + 21*h - 151*h.\nAnswer: -130*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 10070587?\nAnswer: 7\/10070587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, 0, -2 in increasing order.\nAnswer: -33, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 - 9*l - 27. Suppose 5*b + 2367 = -3*y, -5*y = -5*b + 4732 - 747. Let j = y - -806. Give q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**4 + 5*h**2 - 8*h**3 - 6*h**2 - 4*h**2 + 6*h**2 + 1 + 2*h to the form c*h + f*h**3 + o + j*h**4 + m*h**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10757, -42957, -96627, -171767?\nAnswer: -268377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u, 1 c, and 1 q when four letters picked without replacement from {u: 4, v: 2, o: 4, q: 1, f: 1, c: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18 in 1, -0.02, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7619434054 and 2?\nAnswer: 7619434056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 107a4 (base 12) to base 9\nAnswer: 32887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((14 + -19)\/10)\/((-1)\/23726) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1330.2811 rounded to the nearest ten?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 12*r. Let t(v) = 21*v. What is t(j(k))?\nAnswer: 252*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00037427 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10428*l**2 - 11*l**3 + 575*l**3 - 5215*l**2 - 5213*l**2.\nAnswer: 564*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 448 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2610 - 2605. Let f = -61 - -32. Let b = -14 - f. Solve 5*a = 2*s + 2*a - b, i*s - 12 = -a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-91)\/102354)\/13)\/((-2)\/8). Does 0 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1036764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65069.2 tonnes to milligrams.\nAnswer: 65069200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 588 and 1911?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84769 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 713 and 297176261?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9625*j**2 - 3701*j**2 + 2217*j**2.\nAnswer: -11109*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19223 + 19223.044. Is -4.9 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7193400 rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 2*v + 2*v)*(6*v - 3*v + 0*v) - 4*v**2 + 2 + 2*v**2 + 0.\nAnswer: 16*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06117 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 169440793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4 = 2. Suppose 1 = -o + j. Suppose -o*y + 124 = 14. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-1\/7)*u**(1\/3))\/(u*u*((u**(-1\/3)\/u)\/u)\/u)**(-37) assuming u is positive.\nAnswer: u**(-335\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -314201151 (base 7) to base 13.\nAnswer: -3b204a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 200*i - 188*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 208, 194, 164, 112, 32?\n\"Answer: -y**3 - 2*y**2 - y + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*k, 5*k + 0 - 5 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q - 4. Let b be a(-4). Suppose 4*g - 5*g + 6 = b. Solve 3 - g = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -6.94. Let j = h + -0.79. What is j rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -23*o**3 + 10*o**2 - 21*o + 16. Let q(d) = -12*d**3 + 5*d**2 - 11*d + 8. Let n(m) = 11*q(m) - 6*v(m). List the prime factors of n(3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -453*v - 62. Let u(y) = 302*y + 41. Let f(d) = -5*o(d) - 8*u(d). What is the first derivative of f(m) wrt m?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164494 is divided by 1082?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -492.7543 + -0.4457. Let j = 442 + t. What is j rounded to zero decimal places?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + -19 + 30 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 130 and 364.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 51, 0, -1, -5, 18, -61 in descending order.\nAnswer: 51, 18, 5, 0, -1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -268, -189, -62, 137, 432, 847?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1079978, 1079981, 1079984?\n\"Answer: 3*u + 1079975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 134181*u + 134184*u - 6 = 0, -13 = 5*y + 2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-21 + 29 - 37) - 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0.5, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2\/8 + 3441*z\/8.\nAnswer: 3*z*(z + 1147)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 - 27 + 94 + 24 - 3*s to the form l + t*s and give l.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-112)*-4 + 9\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 640 and 32744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + 787005.0477.\nAnswer: 786971.0477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00104039 to 5 decimal places.\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7\/(126\/(-12)))\/(4\/(-186)). Let x be k - 2\/8*-2*0. What is the greatest common factor of 186 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3\/17 - 54*r**2\/17 + 480*r\/17 - 1400\/17.\nAnswer: 2*(r - 10)**2*(r - 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 78.27, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 2, w: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 4*o = -2*o - 5, -2*x = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -12. Let n be 1*((-1 - -2) + -2). Let l be (6 + v)\/(n - -2). What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 5*i - 4. Calculate r(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2203279 is divided by 3432.\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 9:11 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 659583641 a multiple of 3237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -44 divided by -22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 9*g**2 + 4*g + 1. What are the prime factors of f(3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1, -5, 4\/9, 24 in decreasing order.\nAnswer: 24, 1, 4\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49 by -1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 46 + 14. Let v(g) = -14*g + g + q*g. Let p(j) = 4 - j**2 - 4. Determine p(v(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 13  (c) -1.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 11.65\nAnswer: -15.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of q**7\/630 - q**6\/120 + q**5\/90 - 4*q**2 - 15*q. Determine r, given that l(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 4*b + 18 - 3*b + 5.\nAnswer: b + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 - 10777*o + 215138. Give d(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in -0.3, -1\/4, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ptpoopcotpppcptooph. What is prob of picking 1 o, 1 p, and 1 t?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a + 1. Let c = 9 + -15. Let i(z) = -3*z - 5. Let b be i(c). Suppose -x - 5 = w, -5*x + 2*x = w + b. Let y(s) = 1. Give w*y(r) + m(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 1. Let c be (0 - u)\/((-1)\/(-74)). Suppose c + 154 = 4*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 12*k + 18. Let r be 1\/(42\/6 + k). Is r not equal to 1\/641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(9\/5)*x\/(x*x**(-1))*(x*x\/x**(-3\/2)*x)\/x*x*x*x**(-3\/11) assuming x is positive.\nAnswer: x**(883\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - g + 2. Suppose -2*n + 7*n = 0. Calculate the smallest common multiple of r(n) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/18*(12 - 0). Suppose -3*n = 3*t + 27, -n - 27 = 2*n - t. Let r be 2\/6 + 39\/n. Is r <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 2*v - 5 = 6*v, 0 = 4*v. Let t be ((1 - x) + 1)*153. Suppose 0*s = -3*s + t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9791770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 8808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -334340 (base 5) in base 3?\nAnswer: -121020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3814 - 3810. Solve -g = w - 9, w - 1 - j = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2*z - 40 = 0. Let t be -4 + 1 - (-3 - z). Let b = -58 - -58. Solve -4*w + b = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -63.90085 - -0.03085. Let a = 1423 + -1487. Let f = a - i. Is 0.1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 861, 840, 813, 786, 765, 756?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 2112?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15429930977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.42 and 0.44.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**3 + d**4 + 0*d**3 + (2*d + 0*d - d)*(2*d**3 + 0*d**3 + 0*d**3) + 42*d**4 + 4*d**4 + d**4.\nAnswer: 50*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1171730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*z**2 + 4 - 45794*z**3 - 9*z + 45800*z**3 - 8*z**2 to the form l + c*z**2 + k*z + j*z**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5*n - 5 = 0, n = -2*n - 3. Let j be -1 + (v - -3) + 6. Let r be (j\/36)\/((-4)\/(-6)). Which is the smallest value?  (a) r  (b) 0  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 43303341 - 0?\nAnswer: 43303341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11102122 + 112002?\nAnswer: -10220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 2*t - 10. Suppose -8 = -3*s - t. Calculate the remainder when (-24 + 0)*s\/(-3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 114*c + 331. Let y be q(-3). Let a = 5 - 8. Let o be 20\/a*12\/8. Is o greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (-38)\/(-5) + 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 617270 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -36*d**3 - 4*d**2 - 3*d - 2. Let y(q) = 37*q**3 + 5*q**2 + 5*q + 2. Determine 5*o(b) + 4*y(b).\nAnswer: -32*b**3 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 + 12*z**2 - 79 - 14*z + 85 + 0*z**2. Let n = 4 - -5. Is a(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.1, 17226, 0.2, -2\/15 in decreasing order.\nAnswer: 17226, 4, 0.2, -0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of z**6\/24 - 11*z**5\/60 - z**4\/6 + z**3\/6 + 5*z**2 - 70*z. What is the second derivative of f(q) wrt q?\nAnswer: 30*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**3 + 0 - t - 2 - 2*t - t**3 to m*t**3 + d*t**2 + b*t + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m - 148*z = -150*z + 220, z + 5 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1485 = -5*l + 3*x, 34*x - 891 = -3*l + 39*x. Solve 0 = -l*o + 296*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -28*g**3 - g**2 - g - 1. Let c be z(-1). Suppose 6*d = c - 3. Suppose -2 - d = -2*n. Solve -5*j + 23 = n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 20*s - 79. Let d be a(14). Suppose 3*g = -d*r + 1554988, 0 = 2*r - 2*g - g - 622012. Round r to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -9. Suppose y = 2*j - 745 - 205. Suppose -j = -5*u + 190. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 277 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 982787 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 440334096.\nAnswer: 2, 3, 41, 223747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((-11 - -3) + (2 - -14))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*g + 48*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/299  (b) 2  (c) 3\/7  (d) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5558563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.14 - -0.14. Which is the fourth biggest value?  (a) z  (b) -0.3  (c) 0.4  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3945607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 96446 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/3 - 1073\/87. Let g(f) = -f**2 - 11*f - 13. Give g(m).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -46*b + 48. Solve 4*h = 8*h - 5*q - 9, 4*h - b = -3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*a**3*s**3 - 25*a**3*s**2 - 2*a**2*s**2 - 33*a*s**4 - 2 wrt s?\nAnswer: -24*a**3 - 792*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2250146 to the power of 1\/2, to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.4 - -73.\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 124573, 124570, 124565, 124558, 124549, 124538, 124525?\nAnswer: 124510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 286652636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6\/11, 269747, 2\/9, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 274004.\nAnswer: 2, 68501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 23\/4*2*2. Suppose 9*v = 10*v. Suppose -h - 1 + 3 = v. Solve w - h = a, 5*w + a = w + j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2. Let c(o) be the first derivative of -7*o**5\/60 + 2*o**2 + 5. Let y(q) be the second derivative of c(q). What is y(u(t))?\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/2431 and 35\/5687?\nAnswer: 1256827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1280984 - 1.8.\nAnswer: 1280982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n**2 - 4*n + 7. Let b(h) = 4*h**2 + 12*h - 16. Let c(f) = 4*b(f) + 10*z(f). Calculate c(7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10187 - 10187. Solve -78 = 13*u - j*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of 5*v**4\/12 + 3*v**3\/2 + v**2. Suppose 9*h = 3 + 69. Does 19 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11139, 11137, 11135, 11133, 11131, 11129?\n\"Answer: -2*p + 11141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3601337, 7202623, 10803909?\n\"Answer: 3601286*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 g, and 2 d when four letters picked without replacement from {o: 2, p: 2, g: 4, r: 2, j: 1, d: 3}.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 517166836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1.24+452\nAnswer: 453.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8445765 divided by -11.\nAnswer: -8445765\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/6 and -74\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 10:45 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uaou when four letters picked without replacement from xooxkpua?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + 31*z - 153. What is the least common multiple of 67 and t(-36)?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.143, 3\/67, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 1\/12  (c) -2\/13  (d) 5  (e) 21005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2022321123 (base 4) to base 11\nAnswer: 359493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p**2 - 16*p + 26. Let n be o(5). Solve n = u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Let s(g) = -7*g + 3. Let y(u) = 7*u - 4. Let v(p) = 5*s(p) + 4*y(p). Let n be v(-1). Solve 0 = 4*m - k - n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8082 is divided by 113?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 536 + -463. Let m = 74 - f. Which is the nearest to m?  (a) 0.48  (b) -0.4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 1 - 2)*(-12*y + 7*y - 13*y) to a*y + n and give a.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.191670482 to 4 dps.\nAnswer: 1.1917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - -1) + (-18)\/(-6). Suppose -p - i*o + 8 = 0, 3*p + 0*o + 5*o - 17 = 0. Suppose 0 = -p*k + 26 + 18. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3028968498 to the nearest integer?\nAnswer: 55036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 6:50 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (356\/(-72) + 5)\/((-3)\/(-6)). Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of 31\/3*s**3 + 20 + s**2 + s. Is x(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 16*j**2 - 59*j + 48. Determine f(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.01 from 153.\nAnswer: 152.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 220864 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 67405 and 2074.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14502 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 390714 or 8986426\/23?\nAnswer: 390714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.1 - 6. Let b = n + -0.0971. Round b to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of -j**6\/20 + j**3\/6 + j**2 - 2*j. Let g(o) be the first derivative of d(o). Find the first derivative of g(a) wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g. Let o be i(1). Suppose o*j - 81 = -j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-1)*(-4)\/(-28). What is the nearest to 1 in -3\/4, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-12 - (13 - (-3 + 10)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 85 - (1263 + -894)*(-2)\/(-18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 8*z + 13. Let m be p(-7). What is the highest common factor of m and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 120*j**2*q**3 + j**2*q - 150*j**2 + 2*j - 955*q**3 wrt j?\nAnswer: 240*q**3 + 2*q - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 163*k - 140*k - 13*k**3 - 1 + 72*k in the form d*k**3 + a*k**2 + u*k + m and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - l + 3. Let h be c(0). Suppose h - 39 = -4*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/199396 and 45\/735332.\nAnswer: 463994492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14172 + -14152 - (0 + 1 + -29).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 88\/453705 and 121\/241976.\nAnswer: 3629640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*l + 46*l - 1 = 5*p, 5*p - 7 = 2*l. Determine v, given that 0 + 2\/7*v**5 + 4*v**2 - 2\/7*v**p + 0*v - 4*v**4 = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -44*c**3 - 45*c - 11. Let b(d) = 9*d**3 + 9*d + 2. Let s(p) = -11*b(p) - 2*z(p). What is the second derivative of s(f) wrt f?\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 z, and 1 w when three letters picked without replacement from {z: 3, w: 3, u: 4, d: 3}.\nAnswer: 27\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 24*j**2 + 2*j - 2. Is r(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 761 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11200000021200 (base 3) in base 4?\nAnswer: -21131202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*n + 4*n - 2*n)*(4*n - 5*n + 2*n)*(-1 + 1 - 2)*(178*n - 8*n + 134*n)*(-1 - 1 + 1) to the form v*n**3 + o*n + u*n**2 + d and give v.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swwswlsmbmw. What is prob of sequence mwls?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 9, c: 2}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -6. Let g = 1\/609 + 12787\/1218. Let l = -12 + g. Which is the third smallest value?  (a) 0.4  (b) l  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3264 and 13107?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 - 165 - 37793*c + 46 + 37795*c to the form h*c**2 + a + w*c and give a.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c97 + 2?\nAnswer: -c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 447378673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 3*y + 3*i - 6, y = -3*i. Suppose y*k = 9 + 3. Solve -4*z = d + 11, -6 = z - k*z + 4*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*x - 26*x + 46*x + 3 + x**2 - 9*x**2 + 2*x**2.\nAnswer: -6*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*y = -4. Suppose 0 = -4*j + 2*c + 4, 5*c = 5*j - 1 - y. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 528, 538, 546, 552, 556?\n\"Answer: -i**2 + 13*i + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-55*l - 297*l - 49*l)*(0 - 1 + 0) in the form i*l + j and give i.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/1185 and 71\/2370?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 346 + -57. What is the remainder when d is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + 3a91?\nAnswer: 3a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 148*k + 6*k + 159*k + 16276 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1626863 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*w = 56*w + 84. Solve 3*k - 9 = 5*g + 3, -w*k + 4*g = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -21.3400204.\nAnswer: -16.3400204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -11, -26, -47, -74, -107, -146, -191?\n\"Answer: -3*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -564 divided by -6.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 13630*w**2 + 17*w + 926. Let c be j(-38). Round c to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 5 - 18\/135*20\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10352 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 162, 1040, 3414, 8034, 15650, 27012, 42870?\nAnswer: 63974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*s - 1848, -157 = s - 4*m + 287. Let i = 921\/2 + s. Which is the closest to 2\/9?  (a) -18  (b) i  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1780858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8208 divided by -432\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*j - 12*j - 2941912082 + 2941912082.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 6:45 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 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: Suppose -3*o + 113 = 38. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -126 + 131. Suppose y = -10*h + 15. Sort -8, h, 0 in decreasing order.\nAnswer: h, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 5*z. Let d be l(-2). Let r be ((-454)\/(-4))\/((-5)\/d). Suppose 5*u - r - 43 = 0. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -140512*l**2. Let z(q) = -9*q**2. What is d(z(k))?\nAnswer: -11381472*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (12*5)\/(((-387)\/(-8772))\/(14\/476))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413164 is divided by 206579.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15193145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-12))\/(60\/360)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1712\/1807 or 0?\nAnswer: -1712\/1807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-5))\/(9\/30). Let j(o) = -o**3 - 4*o**2 - 4*o + 2. Let f be j(-2). Let z(i) = -i**3 - 9*i**f + 4 + 0*i**2 + 8*i**2 + l*i**2. Calculate z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.927 + 18.927. Which is greater: j or -0.09?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 529, 2043, 4547, 8041, 12525?\nAnswer: 17999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.1 + 4. Let a be 2\/(2 - (-8)\/(-6)). Suppose 4*x + 1 = -z + 3*x, -a = 3*x. What is the nearest to c in z, 3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -289b + -3?\nAnswer: -28a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 15. Let t = -11 - x. Let i = -6 + 9. Solve 4*s + 19 = -z, 5*z + t = -0*s + i*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/8, -5, 848\/7, 5, -4 in ascending order.\nAnswer: -5, -4, -3\/8, 5, 848\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7984*c**2 - 8058*c**2 + 1 + 2.\nAnswer: -74*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of v**3 - 555929*v**2 - 92*v + 521?\nAnswer: 6*v - 1111858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -119 or -26?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 6 = -j, -5*j - b - 32 = -23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = 8*w - 177, 3*y - 89 = -4*w - 396 + 166 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-4) - 7\/4. Let z be (0\/2)\/(-3 - m). Suppose z = -v + 5*v. Solve -4*b + v = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3) - (-12)\/9. Let u = -43\/14 - -405\/133. Let f = u + 21\/76. Is f <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 525 - 296. List the prime factors of c.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 12, -0.5, 2\/3, -61, -2\/7, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7466 <= 7467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-3))\/(5 + (-102)\/18). Solve -2*m - 7 = x + 2, 0 = -q*m + 3*x - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (27819\/(-44))\/(4\/(-16)).\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k + 2. Let u be g(4). Let y(p) = -3*p - 28. Let q be y(-11). Let r = -1 - -4. Sort r, q, u in ascending order.\nAnswer: u, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 166 and 32?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -13. Suppose 0*i = -2*i - l. Let v(j) = 28*j**2 + 2*j + 1. List the prime factors of v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.036 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0\/k)**8*k**(-6)\/k**(1\/6)*(k**0)**(-41)\/((k*(k\/(k*k\/k**(1\/9)*k))\/k*k)\/k*k**(1\/3)) assuming k is positive.\nAnswer: k**(-227\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)*5*-4 - 1*sqrt(99)*4)**2*3.\nAnswer: 171072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**3 - 42*w**2 + 4*w + 4. Calculate h(-21).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/46 and 57\/218546.\nAnswer: 218546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.1  (c) 137\/29  (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 798303 is divided by 798187.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -151 - -181. Let c = 80 - g. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19964 + 20223. What is the greatest common factor of 8029 and h?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99 and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*q + 26*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 584 + -585. Let v = 22 - 12. Let y be v\/(-15) + (34\/(-6))\/d. Is 6 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4183 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 841 - 1208. Let r = n - -347.3. Let b = r - -20. Sort b, -0.5, 0.5 in descending order.\nAnswer: 0.5, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -44*d - 14. Let t be g(-6). Suppose 0*x - 2*x = -t. Suppose -5*s = -3*r - x, -5*s + 7*r = 3*r - 120. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306*n - 326*n + 2240 = 0. Calculate the remainder when 455 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 4*i + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 - 237 = -7*r. Find the common denominator of 5\/7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-161)\/161*9\/((-108)\/732)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*s**2 + 80\/3*s + 0.\nAnswer: 4*s*(s + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 8:09 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -241 + 171. Let i = -60 - f. Let m = -9.999896 + i. Round m to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -55*k - 79 - 135 - 116 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 227818 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28235730 and 15650?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 27. Is 20\/7 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*f + 1 = 0. Let h be (-4 - -6) + (f - 1). Solve k + 6 = h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72.902 + 0.098. Let u = 72.666 - s. Round u to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/6 in 1\/2, -40686, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5*j + 22125 = 0, 16*j - 22127 = -5*t + 20*j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f**2 - 2*f - 2. Let y be s(-2). Find the common denominator of (-38)\/y*30\/96 and 33\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3 - 4615*y**6 + 6*y**5 - 2005*y**6 + 783*y**2 + 15*y**5 - 21*y**5 wrt y.\nAnswer: -794400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28023, -27853, -27683, -27513, -27343?\nAnswer: -27173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (100\/(-40))\/(2\/(-4)). Suppose -s = -3, x*v - s - 3*s = -332. Let b = v - -99. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2070*c*k**3 - 4*c*k**2 + 22*c + 4*k**4 + k**2 wrt k?\nAnswer: 12420*c + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l + 13*l + 3 = -c, 0 = -2*l - 5*c + 27 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-115)\/(-69))\/(10\/(-36)). What is the closest to -0.5 in 0.5, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9*27\/2*8\/12. Let j = v + -18. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 + (-288 - -293)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 10 = 12*g. Suppose -2*p = 2*p + 2*f - 4, -p + 12 = -g*f. Factor 9*m - 7*m**2 + 0 + m**3 + 0*m**3 - 4 + m**p.\nAnswer: (m - 4)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 219 = 38*q + 257. Is 8\/43 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000101010110 (base 2) to base 10.\nAnswer: -4438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003186856 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tepweeedeiedepi. Give prob of sequence iew.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)*-4*-4.\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30.925 + 0.075. Let v = -192.4 - -219. Let k = v - j. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*98\/126*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {p: 1, r: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 114986753229 - 121.\nAnswer: 114986753108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-4)\/6)\/((-84)\/168)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 43*m**2 + 191*m - 141. What is a(47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from onxnmmnxvooxp. What is prob of sequence npv?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 572.544cm in millimeters?\nAnswer: 5725.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-3))\/(4\/(-114)). What is the highest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-28))\/((-1)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -13. Let r(l) = -2*l + 1 + 1 + 0 + l. Let v be r(-2). Calculate the highest common factor of n and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 95*u - 1 - 10*u**2 - 7 + 13*u**2 as x*u + z + o*u**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6 - 2.5. Let w = 2 + r. Which is greater: 2\/7 or w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110 (base 3) to base 5.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17974158?\nAnswer: 2, 3, 2995693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -96.747 - -96.7. Are c and -1\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -1, 48, -188, 5 in descending order.\nAnswer: 48, 5, 4, 3, -1, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -510 + 153. Let y = -70 - q. Let n = 433 - y. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/1592 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -2\/9, 4, 0, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/347?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2782, -2763, -2742, -2719, -2694, -2667, -2638?\n\"Answer: h**2 + 16*h - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -9*z**2 + 8*z - 12. Let g(a) = 2*a**2 - 2*a + 3. Let q(h) = 6*f(h) + 26*g(h). Factor q(j).\nAnswer: -2*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14)\/35 - (-4)\/10. Suppose 0 = -2*w - f*w + 16. Let m = -7 + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 124646696 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4898*r + 12745*r + 3209*r + 6694*r + 1520*r to o + g*r and give g.\nAnswer: 29066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/4085 or -38\/27?\nAnswer: -2\/4085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-54 + 94 - 64)*(-33*i + 14*i + 94*i) to the form u*i + v and give u.\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124*s = -52*s - 1362 - 398 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5418 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*o - o. Suppose o*b + 3*i - 24 = -0*b, 5*i = 4*b + 8. Solve 0*v = v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 16 = 4*l, -6*z + z - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5508731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 38*v**2 + 71*v + 37. Let n be d(36). Let h(m) = 782*m**2 + 4*m - 1. What is the tens digit of h(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ayay when four letters picked without replacement from {a: 5, y: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u**4 + 4*u**2 + 3. Let s be 6\/(-3) - (-1 + -2). Let k(m) = m**4 - m**2 + 1. Let x(o) = s*n(o) - 3*k(o). What is the third derivative of x(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 6. Let r = -1.24 + 1.64. Which is the nearest to -3?  (a) t  (b) r  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 21 + 1353?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 3*i**2 - 2319015*i + 11595000 = 0.\nAnswer: 5, 773000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3022230 (base 5) to base 16\nAnswer: bd38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25681987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -f, -2*t + f + 1 = 5. Is 1 + t + 41 + -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -26, -395, -1446, -3521, -6962?\n\"Answer: -57*o**3 + o**2 + 27*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 11*m**2 - 281*m + 1735. What is s(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2*(-6*(2*sqrt(12) + sqrt(12)) - (sqrt(72)\/sqrt(6))**2*-5)*2)*5.\nAnswer: -1180 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4356, -8714, -13072?\nAnswer: -17430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 666.11 millilitres?\nAnswer: 0.66611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-12))\/((30\/(-2030))\/((-36)\/28))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 549 = -3*x, -h + 399 = 2*h - 2*x. Round h to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -533, -2224, -5063, -9068, -14257, -20648?\nAnswer: -28259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42735 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, -40, -113?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 121178352\/11 greater than or equal to 11016214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.9771 years in millennia?\nAnswer: 0.0679771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235*s**2 + 237*s**2 + 1687*s - 1311*s - 33940*s.\nAnswer: 2*s**2 - 33564*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.03 and 605134301319?\nAnswer: 605134301319.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4738030852 to the nearest integer?\nAnswer: 68833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -972*b + 0*x - 4*x = -970*b - 16, -15*b - 22 = x - 84 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1720, -3462, -5224, -7006, -8808, -10630?\n\"Answer: -10*t**2 - 1712*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*d**3 + 94*d**2 + 1148*d + 3 wrt d.\nAnswer: -72*d + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -71*t**2 - t + 1. Let i(b) = 142*b**2 + b - 3. What is -3*i(s) - 5*q(s)?\nAnswer: -71*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 724495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -u**4 - 1. Let n be m(-1). Suppose -n*y - 2*y + 534 = 0. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*u**2 + 42*u**2 + 30*u**2 - u**3 - 115*u**2.\nAnswer: -u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-4\/3))**(-33))**(4\/3) assuming y is positive.\nAnswer: y**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 0.4  (b) -0.3  (c) 2\/3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53292086.\nAnswer: 2, 677, 39359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + 9 - (3 + (0 - (-5 - 1))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 6952.\nAnswer: 27808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -13 + 31. Calculate the common denominator of 35\/11 and 351\/104 - (-2 - c\/(-6)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 4*x**2\/5 + 20352*x\/5 - 20356\/5 = 0.\nAnswer: -5089, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -40*v + 19. List the prime factors of q(-3).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 4*y - 2*y - 5*y + 5*y. Let z = 6 + -4. Calculate the remainder when k(z) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 8995.565 centuries?\nAnswer: 89955.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 73780 and 3596?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 10a?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 32, -92, 5, 0 in ascending order.\nAnswer: -92, 0, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 16 times 33.3439\nAnswer: 533.5024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u**2 + 190*u - 1805. Give n(8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -306.0712 + -4912.9348. Let c = 5227 + p. Let t = -8 + c. What is t rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q - 2*q - 5*q - 1 + 12*q**2. Let b = -9 + 27. Calculate the remainder when g(-2) is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72899?\nAnswer: 269, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -b**9\/432 + b**6\/90 - 4*b**3 + 5*b. Let f(m) be the second derivative of r(m). What is the third derivative of f(n) wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*v = 9, 4*v + 0*v - 11 = 5*m. Suppose m = -4*h - 3. Is (h + 5)*587\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/9 and -37\/6655.\nAnswer: 59895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u**(-2\/5)*u)*u*u**21 assuming u is positive.\nAnswer: u**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 158175 and 24975.\nAnswer: 474525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 90, -0.2, 0.02?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2446289?\nAnswer: 317, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50.217 + -52.3129. Round x to 2 dps.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1508091.\nAnswer: 3, 13, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -2217?\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 9*q**2 - 10*q - 11. Let a be y(-8). Let v be 2\/3 - 2\/3. Solve a*o - 20 = -v*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -37430358148 and 61.55?\nAnswer: 37430358209.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33251, 66503, 99755, 133007, 166259, 199511?\nAnswer: 232763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}