{"text":"Question: What is 217 minutes after 8:35 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -5*s**4 + 2335620*s**3 - 272760710420*s**2 + 1091014814400*s - 1091005472000 = 0.\nAnswer: 2, 233560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 24739656 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (9 - 7) + (-7 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than -0.3801203?\nAnswer: -0.0801203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -166 + 237 - (-15 - 21).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**2 - m**2 - 3*m**2 + (-21*m + 1 - 1)*(2*m + 0*m + 0*m).\nAnswer: -43*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 682 + 4943. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9 - (-4)\/8*2. Let c = p - -15. Suppose 3*d - 9 = 6*d, 4*w - c = 3*d. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104033?\nAnswer: 104033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/32850 and 26\/5175?\nAnswer: 755550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 + -22. Let d = h - -15.6. Round d to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1028\/9, -1\/4, -0.09, 5 in descending order.\nAnswer: 5, -0.09, -1\/4, -1028\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 163785348 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83226 = -4*y - 2*z, -13*y + 8*y + 104031 = 4*z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202 - -111?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 4:47 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -134752200 divided by -374.\nAnswer: 360300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -28 - 25 - -13) + (-20 - 2) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -744218, -744215, -744212, -744209, -744206?\n\"Answer: 3*k - 744221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**2 + 5*x - 6. Let g be l(1). Let q be 58*9\/(-45)*(-50)\/g. Let n be q + 1\/(2 - -2 - 5). What is the greatest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (31 + -36)*(-4)\/(-130). What is the fourth smallest value in 3, 2, t, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 39*a + 5. Let x be o(5). Let f be (-2 - -1) + (-690)\/x. Let r = f + 21\/5. Is 1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 393*q**3 + 649*q**3 - 1043*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 4*y - 2*y - 384, 3*y - 4*o - 555 = 0. Suppose 8*m = 3*m + 315. What is the greatest common factor of m and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 971 divide 557746284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 296*h = 1481669 - 1476045 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 412715731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u + 2. Let b = 30 + -21. What is the remainder when b is divided by x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -98*f + 96*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5476*f**3*x**2 + 123547*f**3 - 38817*f**2*x**2 - 2047*f**2*x wrt x?\nAnswer: -10952*f**3 - 77634*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 8*i**2 + 6*i. Let m be b(-7). Suppose -2*p - m = -271. Let f = 31798 - 31776. Calculate the highest common divisor of f and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -10 - (-18 - -8 - -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2105*c + 14809. Give z(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 32  (b) 1\/3  (c) 0  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 383171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.65 and -3.485.\nAnswer: 2.26525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-63 - (-24555)\/390)*(1\/(-1) + 45).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/(-6) - (-241)\/94 and -67\/4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.663 - 5.337. Which is the nearest to 0.1?  (a) 4  (b) -2\/9  (c) -5  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24224 - -24572. Let s(c) = 6*c. Let x be s(2). Calculate the greatest common factor of v and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2509*w + 75. Calculate b(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000030081 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15*(-1 - 14\/3). Let f = -549 + 643. Let n = f + d. Calculate the smallest common multiple of 15 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + g**2 - 30*g + 3. Let t be l(5). Let d(n) be the first derivative of -17\/8*n**4 + 12 - 8\/3*n**t - n**2 - 1\/2*n**5 + 0*n. Factor d(u).\nAnswer: -u*(u + 1)*(u + 2)*(5*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4356041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (41 + -39)*(-202121)\/(-6)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - (-32)\/20)\/(2\/40). Calculate the highest common factor of f and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3719194, 14876757, 33472682, 59506963, 92979594, 133890569, 182239882, 238027527?\nAnswer: 301253498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5583422807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 1 - 3 = 0. Suppose -r + 2 + h = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5368, 10559, 15560, 20371?\n\"Answer: -95*h**2 + 5476*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*u + 43*u - 378. What is the units digit of ((-1)\/(-9) + 511\/u)*-22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -29, -13, 3, -16, -5 in descending order.\nAnswer: 4, 3, -5, -13, -16, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4822 divided by -3\nAnswer: -4822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 190\/114 + ((-4)\/5 - -1)\/((-120)\/35800)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*232.63.\nAnswer: -46.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddqe when four letters picked without replacement from {q: 2, d: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppeeepuuepuduupuep. Give prob of picking 2 e.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3285542 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1248711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - -15) + (-26 - (2 - -2) - 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -300327 (base 8) to base 3\nAnswer: -12000010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a\/(a\/a**(1\/4)))\/a)**16)**39*(a**6\/a**(-1\/2))\/((a*a**(2\/5)*a)\/a)**(-10) assuming a is positive.\nAnswer: a**(353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1632 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 12321997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = x + 10, 3*v = -788*x + 792*x + 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 67\/4 of a millennium?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 0 + 0*v**2 - v + 0*v**3 - 1\/6*v**4. Let s(f) = -34 + f**2 + 34. Calculate s(r(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3 + 2*x - 3*x - 1 - x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - k - 99. Let f be s(0). Let y = f - -158. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14096642 and 68418.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -20*j + 5. Determine s(37).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120) + sqrt(120) + 2*(sqrt(120)*-1 + sqrt(120)))\/(2*sqrt(1152)))\/(sqrt(50)\/(-4*sqrt(10)) - (sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of -2*s**3\/3 + 6*s**2 + s. Let a be w(6). List the prime factors of (a\/(-10))\/((-2)\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 1\/1108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2302 and 1275007589.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 10130223 (base 4) to base 2\nAnswer: 100011100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49)\/((-294)\/(-20))*(-12)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f + 5. Let z(r) = -8*r + 21*r - 7*r - 5*r + 3 + 3. Give -5*u(b) + 4*z(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -108  (b) -5  (c) -1\/3  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xexaeecaaxxx. Give prob of picking 1 c and 1 x.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2930148571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and 1069903548.\nAnswer: 1069903547.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1038, 2359, 3680, 5001, 6322?\n\"Answer: 1321*j - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3348*c**2 - 7129*c**6 + 344*c**2 + 1642*c**6 wrt c?\nAnswer: -658440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = 5*d - m, 0*m = -4*d - m + 116. Suppose -2*p + 148 = -d. Suppose 4*j = -0*j + p. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 3*a**2 - 5*a - 12. Let m(o) = -5*o - 9*o**2 - 13 + 3*o**2 + o**3 + 9*o**2. Let s(b) = -7*h(b) + 6*m(b). Determine s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 416, -4, 0 in decreasing order.\nAnswer: 416, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/6 - 34754*u\/3 - 603920258\/3.\nAnswer: -(u + 34754)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165906 is divided by 27574.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1739233?\nAnswer: 1739233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -l**4 + 125974*l**3 + 56717 wrt l.\nAnswer: -4*l**3 + 377922*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2807658254?\nAnswer: 2, 23, 43, 103, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (75*s - 1455*s - 416*s)*(0*s**2 + 3*s**2 - 2*s**2) to c*s**2 + x*s + a*s**3 + h and give a.\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 3) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -r**2\/2 - 2. Let h(k) = 10*k. Give t(h(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -3, -1, -3.5 in descending order.\nAnswer: -2\/3, -1, -3, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -4*j**2 + 10056244*j + 20112504 = 0.\nAnswer: -2, 2514063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 0*l + 4*l)*(3 + 5 - 3) - 6*l + 3*l + l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 36 = -f. Let u = 14 - f. Solve -10 = u*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/3, 4, -2.304, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = -2*k - 17, -275*y + 270*y - k = 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 times 0.8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*y - 10, 3*x = -2*x + 4*y + 8. Suppose -2*d - 3*d = x. Solve 0 = k - d*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 2  (b) 5  (c) 2\/7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 3)*(-2)\/(-3). Suppose 13 = -4*t + 1. Let k = v - t. Sort k, 0, -5 in decreasing order.\nAnswer: k, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.48 times -636181\nAnswer: 305366.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29.6 + 29.59315. What is n rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h + a + 7, -3*a = -0*h + 5*h + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191*n - 259*n - 207*n - 325*n.\nAnswer: -600*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1071*h**5 + 587*h**2 wrt h.\nAnswer: 64260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -47525490 divided by -113970?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.7 + 0.7. Let p = 16\/63 - 1\/9. Let v = 42 + -47. What is the nearest to -1\/3 in p, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4*p - 7. Let h be i(7). Let w = -3 + h. Let u be w\/(-22) - (-22)\/(-121). Which is greater: 2\/35 or u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 4*y + 1. Let b(v) = v**2 + 5*v + 1. Let m(a) = 5*b(a) - 6*u(a). Let h(s) = 5*s**2 - 4*s + 4. Give -h(z) - 4*m(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -1\/6*n**3 + 0*n - 1\/5*n**5 - 5 + 1\/24*n**4 + 3*n**2. Let x(m) be the second derivative of p(m). Determine x(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -c - 5*c. Suppose 5*n + c*k - 297 - 767 = 0, -4*n + 841 = -k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 648 is divided by 102?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30729 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 9 = -k, 3*w = 5*k - 13 + 6. Let i(v) = v**3 + 4*v**2 + 3*v - 3. Determine i(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, u: 3, l: 1, f: 1, c: 5}. Give prob of picking 1 l and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1310*u**2 + 20*u + 1499*u**2 + 8 - 8 to the form i + d*u**2 + f*u and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 27\/(-12)*(-20)\/(28\/7)*(-60)\/(-9)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4322 + 15?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-9)*0 + (-212337)\/(-312246). Let d = m + -20\/209. Calculate the common denominator of d and -57\/20.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7 + 286*a**2 - 9 + 31 - 40*a**2 + 18*a - 7 wrt a.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (14 - 12)*(-5 + 104\/20). Which is the fifth biggest value?  (a) 2\/11  (b) -4  (c) k  (d) -5  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/5, -0.4, -1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 192.353 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of 8*w**6\/15 + 154*w**5\/5 + 99*w**4\/4 - 265*w**3\/6 + 19*w**2 - 408*w + 2. Factor s(h).\nAnswer: (h + 1)*(h + 38)*(4*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -317*a**4 + 11*a**2 - 11*a**2 + 87*a**4 + (11 - 7 + 2)*(a**2 - a**2 - 7*a**4) in the form o*a**4 + u*a**3 + v*a + g*a**2 + m and give o.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5018, -4774, -4396, -3884?\n\"Answer: 67*w**2 + 43*w - 5128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, f: 8, h: 1}. Give prob of sequence ff.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -722*i**2 + 293*i**2 + 330*i**2. Let z(d) = -d**2. Calculate l(z(r)).\nAnswer: -99*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -20*r**3 + 1. Let y be b(-1). Let x be y\/4 + (-2)\/8. Solve -5*u + 4*f + 4 = 1, x*u = -2*f - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 75744 and 39976?\nAnswer: 1439136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*x - 28*x + 7*x + 8*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 7*g + 4. Suppose 2*v - p + 8 = v, 2*v + 16 = p. Give o(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(7\/2)\/t))\/(t\/(((t\/t**5*t)\/t)\/t)))\/((t*t**(-3\/8)*t)\/t**15) assuming t is positive.\nAnswer: t**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*a - 732. Let b = a + 1649\/9. What is the closest to 1\/3 in -4, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -32*x**2 - 24856*x + 2. Let w(c) = -2*c. Determine w(s(n)).\nAnswer: 64*n**2 + 49712*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 7*z - 6*z + 4932, -5*z = 20. Is y a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8140 and 36597699.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-4 - -3)\/3. Let k = -10.5 + 10. Sort d, 0.2, k in descending order.\nAnswer: 0.2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -28*i**3 + 313*i**2 - 478*i - 32119150 wrt i?\nAnswer: -84*i**2 + 626*i - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-36)\/(-8) + -4)*48. Let k = a - 22. Calculate the remainder when 4 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -2*i**5\/5 - 3303*i**4\/4 - 7458*i - 1181. Find the first derivative of n(t) wrt t.\nAnswer: -8*t**3 - 9909*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(550) - 4*(sqrt(550)*1 + sqrt(550)))*-3)\/((sqrt(11)*-2 + sqrt(11))*-3 - (-1*sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10)))**2.\nAnswer: 11025\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3740*s - 11556 = -3526*s for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/3)\/(83\/747).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(200) + 4 + sqrt(200) + -1*sqrt(200) + sqrt(200) + (-1*sqrt(200) - sqrt(200)) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 + 6*z + 11. Suppose -684 = -4*d + 6*d. Let s = d + 350. Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.947?  (a) 3\/4  (b) 0.2  (c) -0.5  (d) 15  (e) -2\/41  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2069.095ml in litres?\nAnswer: 2.069095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 7. Let j(p) = -p + 13. Let o = -58 - -66. Let f be j(o). Sort g, 1\/3, f in descending order.\nAnswer: f, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1676486 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 22*z**2 + 20*z + 43. Suppose 2*w - 133 = 161. Suppose -2*d + w = 5*d. What is the lowest common multiple of j(d) and 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007426 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of (276\/(-2))\/((3 + 40\/(-12))\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*l - 117 = 73*l. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from heyhyyyyhhhyeyyyyee. What is prob of sequence eheh?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*b = 141*b - 918. Solve -5*x - 40 + b = -4*l, 2 = -2*x + 2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 divided by -278?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 125*h + 192 - 2942. Calculate the greatest common factor of h and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 51 - 90. Let s = a - -44.2. Let j = -0.2 + s. Sort -1, 2, j in descending order.\nAnswer: j, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of 0*a**4 + 10*a**2 + 0*a**3 + 0 + 0*a - 1\/30*a**5. Let m(p) = -3*p. Give z(m(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -163\/40886976 and -1\/40886976?\nAnswer: 40886976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*z + 194*z = -240 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (3 + 1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1763, -6713, -14959, -26501, -41339, -59473, -80903?\n\"Answer: -1648*p**2 - 6*p - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04287499 rounded to 4 dps?\nAnswer: -0.0429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 73564 divided by 694\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3033*m**4*s**2 - 7*m*s**3 - s**3 - 3155*s - 22 wrt m.\nAnswer: 12132*m**3*s**2 - 7*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*p - 11 = 30. What is the nearest to p in 0.3, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 318 + 81 = 0. Let y be (i\/(-19))\/(3\/(-28)). Let t = 29 - y. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*n = -12*n - 22216. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 9) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5704*m - 11108 wrt m?\nAnswer: 5704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 a factor of 186261120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-2))\/((-1)\/(-2)). Let o = -409 + 414. Suppose 3*a = -34*w + 33*w + 9, 0 = 4*w - o*a + 15. Put -3, w, 2, f in decreasing order.\nAnswer: 2, w, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + 92. Let a = -128 + m. Let y = -8 - -10. What is the biggest value in y, a, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 - -16 - (3 - 3) - -20\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7179458177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/(6\/1))\/(1*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 3392\/3, 7 in increasing order.\nAnswer: 2\/9, 7, 3392\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.16 times -1.7283121\nAnswer: 0.276529936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {l: 3, d: 4, q: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**3 - 1161 + 1161.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -113*z - 106*z + 321*z - 103*z. Let t(h) = -h**2 - 2*h. Let i(o) = -5*o**2 - 9*o. Let y(u) = -2*i(u) + 9*t(u). Calculate r(y(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 6*u = 4*c + 32, 0 = 2*c - 2*u + 16. What is the hundreds digit of 141\/(-376) + (-4195)\/c - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12429 * 14.66\nAnswer: 182209.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/18*(-14)\/70.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of y**7\/1155 - y**5\/330 + 6*y**2. Factor i(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(847) + -3))**2 + ((3 + sqrt(847))*6)**2 - (2*(sqrt(847) - (-1 + sqrt(847))) - (sqrt(847) + sqrt(847)*-1)*6)**2.\nAnswer: 2112*sqrt(7) + 34236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -235.\nAnswer: 6\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**5\/6 - 709*z**4\/3 + 711*z**3 + 2128*z**2\/3 - 9953*z\/6 - 1421 = 0 for z.\nAnswer: -1421, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-21)*4)\/(136\/476)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 62988017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - b - 1. Let f(w) = 3*w**4 + 4*w**2 + 2*w + 2. Let q(i) = -f(i) - 2*k(i). What is the third derivative of q(g) wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -167637\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.87798 to 2 decimal places.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -8661*o - 1966061. Give p(-227).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b5665 - -11?\nAnswer: -b5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = 2*x + 2*g + 92, 3*g + 15 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n**2 + 6*n + 2. Let i(j) = -12*j**2 + 211 - 205 + 26*j - 9*j. Let t(l) = 6*i(l) - 17*q(l). Let m(z) = -5*z**2 + z + 2. Give -2*m(r) + 3*t(r).\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/162 and -53\/765.\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15739, -31496, -47253, -63010?\nAnswer: -78767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1886?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3070003340.24 from 0.04.\nAnswer: 3070003340.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 37 = -4*q, -25*q + 12*q + 12 = -17*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.701 days in hours?\nAnswer: 712.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1444686 divided by -41\nAnswer: 1444686\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 - 11*q - 21. Calculate l(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, 19, 10 in decreasing order.\nAnswer: 19, 10, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -9*s + 23*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 90, 93, 106, 135, 186, 265, 378?\n\"Answer: k**3 - k**2 - k + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9535127, 9535123, 9535119?\nAnswer: 9535115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3839762.97 to the nearest ten thousand.\nAnswer: -3840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32\/(-3))\/(((-2451)\/(-43))\/171).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -9, -56, -133, -240, -377?\n\"Answer: -15*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1157, 1155, 1153, 1151, 1149, 1147?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -104566, -104553, -104540?\n\"Answer: 13*q - 104579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*b - 8 = 85*b. Calculate the common denominator of 3\/6 + b\/(80\/14) and -38\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 2. Suppose -4*g = b - 2*b + 38, 5*g + 3*b = -56. Let s = g + 13. Solve 3*z + 31 = u + s*u, -5*u + 20 = m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9 - -234b14?\nAnswer: 234b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -49\/50 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sofd when four letters picked without replacement from uosjjfujjdoooujj.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1075 divided by 1726?\nAnswer: -1075\/1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w - 1. Let r be d(3). Let g be ((-16)\/(-10))\/(2\/r). Suppose -4*o + 5*o - u = 33, -5*o + 147 = g*u. Solve 0 = 4*m - 4*n - 9 - o, -3*n = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 896?  (a) -4  (b) 3  (c) -2  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 161 - 5?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/372 and 23\/6568554.\nAnswer: 407250348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -72, -320, -732, -1308?\n\"Answer: -82*s**2 - 2*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ullmnimnuuunmuu. What is prob of sequence iml?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/9, 3, -0.169?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6559194971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p. Let b(f) = -6*f - 4. Let y(h) = 5*h + 3. Let s(a) = 3*b(a) + 4*y(a). Let u(z) = 3*l(z) - 2*s(z). Let q(r) = r**2 + 7*r. Give u(q(c)).\nAnswer: 2*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rwwiwriiiiii. What is prob of picking 3 w and 1 i?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2726664 + 32926\nAnswer: -2693738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/4)\/((-5)\/(-70)). Suppose c*o - 18 = 10*o. Let z be 140\/15*o\/(-4). What is the highest common divisor of 28 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 7:19 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1209, -1208, -1207, -1206, -1205, -1204?\n\"Answer: m - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*v + 126 + 5 = -c, 2*c - 989*v = -987*v + 106 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of a**3\/6 + a. Let x be h(-1). Does -2\/7 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.68 + -0.08. Let c = t - -0.4. What is the third smallest value in 0, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/(-25) + (-534)\/15. Let a = -32 - q. Suppose -2*h + 1182 = a*z, 3*h = -z + 450 - 162. What is z rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -10 - -9)\/((-36)\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 244842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3436857+19\nAnswer: 3436876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 13*c - 69. Let a be u(6). Solve a*k = -8*k - 68 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - 2)*27*10\/60. Let m be -6 + (-9)\/(y\/8). Suppose d + 1 - 2 = 0. What is the greatest common divisor of m and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 30*u - 432 - 177. Solve -u = -3*w - 4*v, 39*w - 40*w + 15 = 4*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*x + 13 = 0, x + 30 = 5*v - 3*x. Let y be -6 - -10 - 30\/7. What is the third biggest value in 4\/9, -2\/5, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6093, -7018, -8559, -10716, -13489, -16878, -20883?\nAnswer: -25504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1935 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: Suppose 7 = 3*a - 2*a + 4*h, 2*a + 8 = 3*h. What is the closest to a in 4, -2\/3, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (24 - 7) + 1 + -1. Suppose -m + 3 = o + m, -5*o - r = 2*m. Which is the closest to 0?  (a) o  (b) -4\/7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187603 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1542 or -1534?\nAnswer: -1534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/7 in 0.031, 5\/8, 3\/938?\nAnswer: 3\/938","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4 = -5*k + 17, 2*k - 8 = -z. Let t(v) = -3*v**2 - 3*v**2 - 5*v**2 + v**z. Let f(d) = 3*d**2. What is t(f(c))?\nAnswer: -90*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((0\/7)\/((-4)\/(-2)))\/(-1). Solve 2*f - 23 = 5*l, 0 = 5*l - s*l - 5*f + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2553165?\nAnswer: 3, 5, 56737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 136 + -113. Suppose 0 = -5*y + 17 + f. Solve -3*d + y = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fum when three letters picked without replacement from bfumzfzzzff.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 5212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, 6, 48, -4\/3.\nAnswer: -4\/3, 3\/8, 6, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -4*y - 25, -74*y = -69*y + 5*z + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1ca76 - -1c9?\nAnswer: -1c88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2850 and -93298714.502?\nAnswer: 93295864.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -3*r**3 - 3*r**2 + 3*r + 1. Let g be q(2). Let y = g + 41. Calculate the least common multiple of 12 and ((-44)\/y - -3)*-9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x + 3. Let u(d) = -d + 1. Let z(q) = r(q) - 3*u(q). Let k(g) = g**2 - 2*g - 2. Let w be k(-2). Let y(s) = -s + w*s - s. Give z(y(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k - f - 8 - 22 + 15 + 2, -k - f = 6 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 803 = -u, 239 = 2*g - u - 162. Suppose 3*r + g = o + o, -5 = 5*r. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*d = 19*d + 1183. What is the highest common factor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*j + 32*j = 22*j - 756 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1296 = -3*n - 9*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637)*-1*-1 - (-1 + sqrt(325) + -4))**2.\nAnswer: 20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/356048 and 59\/72828.\nAnswer: 3204432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 7*t**2 - 5*t + 5. Let g be a(-6). Let h = g + 4. Suppose 11 = h*w - 4. Solve -w*f - 2*x + 5 = 0, 8 - 4 = 3*f + x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -154 + 48 + 59 + 21*s + 63. What is n(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j**3 + j - 1. Calculate v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 561 + 939. Suppose -8*q + k = 28. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two thirds of a decade in months?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/31  (b) 3  (c) 4  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 77 = -0*v + v, 0 = -2*g + 3*v + 56. Suppose -1488 = g*c - 33*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-30) + ((-56)\/770)\/(-1). What is the fourth smallest value in 6, 3, j, 0, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*r - 6, r = -5*s + 26 + 4. Suppose 0 = 3*o - s, 5*v - 4*o = 2*v + 4. Solve i - 2*w = -12, -v*i - 8 = w + w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 103 + -10 - (675 + -655)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31284292 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**9\/6552 - a**8\/10920 - a**3 + 2*a**2. Let k(t) be the first derivative of m(t). Factor k(w).\nAnswer: 2*w**4*(3*w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(1\/2))**6\/(((n**(-2\/3)*n)\/n*n*n)\/((n\/n**(-6))\/n*n)))**(-9) assuming n is positive.\nAnswer: n**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15168 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 9*b - 16 + 6*b**2 + 0*b**2 + 6. Let y be 9\/(-162)*-129 - (-2)\/(-12). Determine g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 22144\/256*(2 - 96). Is -8132 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7*v**2 + 18*v + 15. Let l be (51\/(-85))\/(2\/20). What is the tens digit of f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + 16*f + 16. Let b be u(13). Let m = b - 59. Let n = m + 5. Which is smaller: -19 or n?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2569.407 milligrams in kilograms?\nAnswer: 0.002569407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/7 + 9036*b\/7 + 10206162\/7.\nAnswer: 2*(b + 2259)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*w + 3*w - 20*w + 637 = -5303 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*f - 220 = -36*f. Suppose -2*l = -5*u - 309 + f, -4*u = -4*l + 512. Calculate the highest common divisor of l and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 4) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2449*r**2 - 393*r**2 - 1012*r**2 - 1056*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4213016116?\nAnswer: 2, 109, 191, 50591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12\/5  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 55579290 * 0.5\nAnswer: 27789645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 20 - 12. Let x(r) = -r**3 + 3*r**2 + 3*r - 3. Calculate x(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-383)\/(4\/4*-1).\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3*v**3 - 2*v**2 - 4*v - 1. Let t be (6\/7)\/(1\/14). Let p(o) = o**3 - 8*o**3 - 14 + t - 9*o - 5*o**2. Let y be 4\/6 + 28\/(-6). Give y*p(b) + 9*f(b).\nAnswer: b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/28 and 73\/3044.\nAnswer: 21308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -2 + -12 + 2 - (1 - (-4 - 55))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13311 is divided by 13152.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -4*h - 88, 5*h + 761 - 172 + 604 = 62*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2816 and 220.\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + 6. Let z be (-1)\/(21\/(-6) - -3). Suppose 0 = -z*r + v + 46. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -13 - (11 + 10 + (-35 - -27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a**2 + 4*a**2 + 39*a + 3*a**2.\nAnswer: 2*a**2 + 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 17.1. Sort 1\/6, 0.3, b.\nAnswer: b, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2000 + -13880. Let r = n - -11886.133. Let a = r + -6.1. What is a rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 24904, -0.1, 2\/15, -3\/8, -0.06?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*m - 21 = -38*m. Suppose 3*g = -p - 2, -m*g - 3*p + 7 = 19. Calculate the greatest common divisor of 6 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 0 + 0 - m + m - 2*m - m - 2*m + 2*m + (2*m + 2*m - 2*m)*(1 - 1 + 2) + m + 1 - 1 + 3*m + 2*m - 3*m + 7 + 109*m + 103*m - 204*m.\nAnswer: 13*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, q: 1, m: 5, a: 3}. Give prob of sequence aa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 3, 2, 5 in descending order.\nAnswer: 5, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02 and 46119107.\nAnswer: 46119106.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o - 3. Suppose -26*p - 10 = -21*p. What is n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2459778 greater than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**5 + 14*d**3 + 176*d**2?\nAnswer: -60*d**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*a + 2 - a**3 - 128*a**2 + 128*a**2 in the form z*a**3 + c + g*a**2 + k*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i = 14*i - 12. What is the remainder when i*(-3)\/(-15)*-5 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -5, -1, -25 in descending order.\nAnswer: 4, 1, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 95 (base 13) in base 11?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/10*(-60)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.105 + 45.105. Let n = 50 - s. Let z(a) = a - 1. Let t be z(2). What is the nearest to 0 in n, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1293, 2549, 3805, 5061, 6317, 7573?\n\"Answer: 1256*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1\/3, -1\/17, -2, -1235\/2 in increasing order.\nAnswer: -1235\/2, -4, -2, -1\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*i**4 - 30651*i**3 + 798989*i wrt i.\nAnswer: 72*i**2 - 183906*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1748, 1759, 1770, 1781?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**3\/7 - 12*q**2\/7 - 4*q\/7 + 12\/7 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {v: 9, p: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 6*q + 20. Let n(w) = -7*w - 15. What is -4*n(h) - 5*x(h)?\nAnswer: -2*h - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 130 - 127. Let n = 41\/72 - -67\/72. Factor 0 - n*l**2 + 0*l**g + 1\/2*l**4 + l.\nAnswer: l*(l - 1)**2*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.054 - -0.346. Let v = 0.8351 - 0.7351. What is the third smallest value in k, -0.02, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**3 - 6*h**2 + 3*h. Let v(c) = c**2 - 9*c - 27. Let s be v(11). Let j(a) = -2*a**3 + 4*a**2 - 2*a. Give s*i(w) - 8*j(w).\nAnswer: w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1237, 1234, 1231?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a + 10. Let b be v(-6). Let j = 25 - 19. What is the second smallest value in b, j, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2372824 (base 10) to base 13\nAnswer: -65104c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b6 - -4972b5?\nAnswer: 4971bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**2 + 5*x - 3. Let s be 387\/81 + (-2)\/(-9). Let a(d) = 9*d**2 - 24*d + 15. Let h(f) = s*a(f) + 24*p(f). Let h(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 293.2*-2.\nAnswer: -586.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 15) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1438879204.\nAnswer: 2, 7, 51388543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -4*i**3 - 2440*i**2 - 2356*i + 48720 = 0.\nAnswer: -609, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + q = -28. Let d(j) = -j + 1. What is the least common multiple of d(q) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (4\/10 - 3378\/(-30)). Suppose 5*u = -0*a + 4*a + 192, -3*a - u = 125. Let p = a - w. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10101001101020 (base 3) to base 4\nAnswer: 12311202132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17845, -35681, -53531, -71401, -89297, -107225, -125191, -143201?\nAnswer: -161261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*v**3 + 418*v**3 - 190*v**3 + 31.\nAnswer: 26*v**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1\/4, 2, 10\/3 in descending order.\nAnswer: 4, 10\/3, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 2*g**2 + g + 1. Let d(l) = 26*l**2 - 3*l - 3. Give -d(n) - 2*z(n).\nAnswer: 2*n**3 - 22*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(-4)*t**(-4)\/t*(t**(2\/3))**(-1\/17) assuming t is positive.\nAnswer: t**(-410\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 2383115?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*n - 62 = -m, m - 14 = n. Suppose 2*f + x = -f + m, -2*f + 10 = x. Solve f = v - 5*y, v - 2*y + 3*y + 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 8:16 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*q**2 - 9*q**2 - 14*q**2)*(-6*q**2 - 2*q**2 + 0*q**2) to the form c*q**3 + r + h*q**2 + z*q**4 + p*q and give z.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/11396 and 12 + (-49)\/4 - (-37)\/10.\nAnswer: 56980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*o - 206*o = 72*o - 14235 - 12225 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 8. Put -1, z, 3, 14 in increasing order.\nAnswer: -1, 3, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13856326 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -215\/136 - -249\/136. What is the closest to 8 in 0.4, -4\/15, -10, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 81 + 45 + -45 + (19 - 5)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -27148 > -27148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 229 + -229. Solve 2*o + 0 = 3*l + 7, -4*o - l + 21 = x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83083263, 166166543, 249249823, 332333103?\nAnswer: 415416383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, -3, 1304, 0 in decreasing order.\nAnswer: 1304, 0, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-2\/5))**(11\/7) assuming b is positive.\nAnswer: b**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c**3 - 6*c + 8. Let u = -10 - -16. Let z(g) = 3 - g + 4 - u. Let m = -48 + 56. Calculate m*z(x) - r(x).\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 557248353 to the power of 1\/2, to the nearest integer?\nAnswer: 23606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.110837 + 0.189217. Let l = 0.3 - u. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 290*f + 9. Let p(m) = 435*m + 14. Determine -5*p(c) + 8*u(c).\nAnswer: 145*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 115 - 1 - (-7 + 7). Suppose -s - 32 = -h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2998430957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-1)*-2)\/((-6)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 92426 and 444?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 176434850207 + -176434714813.050003. Let k = -135399.95 + n. Let m = -6 - k. Round m to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*p - 1987 = -5585, 3*p - 12 = 0. What is the greatest common divisor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-18) - (-211)\/6. Suppose 0*q + 5*q - v = -5*y, 4 = q. Suppose 7 = -4*p + y. Sort -5, p, -3.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78, 387, 1336, 3279, 6570, 11563, 18612?\nAnswer: 28071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1 + 1 + 2*l. Let t = 9 + -7. Let d(r) = 3*r**2 - 4*r**2 + 2*r**2 + r**t. Give q(d(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 5*h**3 + 9*h**2 + 9*h + 123. Is 115 a factor of y(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66)\/11*(-2)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458041 is divided by 1709.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81003\/214 + 757\/2. Let b = 184\/1605 - m. Let h be (-4 + (3 - 1))\/2. What is the second smallest value in -2, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 463142 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hssl when four letters picked without replacement from {s: 6, e: 2, b: 5, l: 2, h: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2201*k - 28603. Determine m(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s**5 - 8*s. Let n(k) = -k**5 - 4*k. Let h(j) = 3*c(j) - 7*n(j). What is the second derivative of h(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 5*q**2 + 2*q. Let c be z(-4). Let t = 7 - c. Let i be (-1)\/(2\/4*t). Which is bigger: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.951099 months in millennia?\nAnswer: 0.00157925825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 8, 2, -1, 3 in increasing order.\nAnswer: -2, -1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1897033834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**3 - 230*a**2 - 681*a - 3185. Give r(118).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 9*d**2 + 11. Let z(y) = -5*y**2 - 6. Suppose n + 3 = -2. What is n*z(r) - 3*t(r)?\nAnswer: -2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6665a - -1?\nAnswer: 66660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -305147, -610365, -915583, -1220801, -1526019, -1831237?\nAnswer: -2136455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g = -2*g - 2*g. Suppose -15*k + 13*k = 5*o - 51, -4*k - 8 = g. Suppose 2 = 3*t - 25. Is o less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4 + 0*q + 1\/4*q**2.\nAnswer: (q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -54. Let q(x) = -2. Let s(m) = -30*q(m) + z(m). Let t(v) = -v - 11. Calculate 11*s(i) + 6*t(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143*d - 88 = -69*d - 82*d. Solve 21*l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(204)\/((-2*sqrt(132) + sqrt(132))\/sqrt(11)) + -3.\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a**2 + 82*a + 8. What is v(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, -13.98086.\nAnswer: -13.98086, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 467502 and 67074?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 183*l**3 + l**2 - 2*l**4 + 2 + l**2 - 4*l**2 - 184*l**3 + 21*l as h*l**2 + d*l**4 + y + w*l**3 + s*l and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5*v + 1, 6*l + 5*v - 22 - 17 = 0. Factor 0 - 1\/3*r + r**2 + 1\/3*r**l - r**3.\nAnswer: r*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 393 (base 11) to base 4\nAnswer: 13101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/3 or 2497?\nAnswer: 2497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 12:09 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -46214 + -304?\nAnswer: -46521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*p + 405*p - 23534 = -6099 + 1537 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 369 - 370.86. Let q = o + -0.14. Which is the third smallest value?  (a) q  (b) -67  (c) 5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3522.5338 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.077 + 0.477. Which is the nearest to u?  (a) -4  (b) 5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 632115 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2 + n + 8. Let f be r(-6). Let c = f + 74. Solve -5*q + 5 = -c*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*z + 2*z + 0*z)*(2 - 3 + 3) - 2 - 2*z + 2 - 2*z + 5*z + 0*z + 0*z + 0*z + z - 5*z - 9*z + 4*z)*(0 + 6 + 0)*(0 + 1 + 0).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 333*i - 825*i + 395*i + 4.\nAnswer: -97*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -76 + 165. Suppose r = 2*z - 99. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 8:46 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*s - 4*o, 3*s + 5*o - 29 = 16. Let m = 14 - s. Solve j = 5*g + m*j - 27, 2*g - j - 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11755.842 rounded to the nearest one hundred?\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -3*l**2 + l**3 + 2*l**2 - 4 + 0*l**3 - 3*l. Suppose -218*j = 132*j - 58*j - 876. Determine v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u. Suppose 2*a + 60 = 5*d + 4*a, d - 5 = a. Suppose -d*s + 39 = -7*s. Let p(r) = -7 + 7 - 8*r**2 + s*r**2. What is p(t(q))?\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express ((p + 3 - 3)*(4 - 3 + 2) - 2 + 4*p + 2)*(p + 0 + 0) as a + i*p + f*p**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32 + 34. Suppose -q*s - 2*u = -82, 0*s + 4*s = u + 189. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3458435112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, t: 7, i: 5}. What is prob of sequence ioi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p - 4. Suppose 0 = 6*k - 4*k - 16. Let a be l(k). Solve o - a = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -14*u**5 + 144*u**4 - 320*u**3 - 60*u**2 + 334*u - 84 = 0?\nAnswer: -1, 2\/7, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00040766582 rounded to 6 dps?\nAnswer: -0.000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) + 1)*2*6 + (sqrt(68)\/(sqrt(16)\/sqrt(4)) - (-4*sqrt(68) - sqrt(17))) + 4.\nAnswer: 16 + 82*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d + d**2 - d + d**2 - 3.\nAnswer: 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 133535441.4 - 3.2\nAnswer: 133535438.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1054926476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4380096 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - d = -316. Let h be 8\/6*(d + -2). Let o = -909\/8 - h. Find the common denominator of 101\/4 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.03373 - 0.03373. Which is the nearest to -7\/5?  (a) o  (b) 3  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(sqrt(8)\/sqrt(2)) + (sqrt(17)*-1 - sqrt(17) - sqrt(17)) + 0)**2*5.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -o**4 - 5*o**3\/3 + o**2 + 50*o - 33. Let r(b) be the first derivative of l(b). Suppose r(h) = 0. Calculate h.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 + 5*r - 4. Let w be p(-8). Let q = w + -17. Let f be (-16)\/(-10) + 4\/10. Solve m - 6 = 3*u + 4*m, f*u = -m - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 - -61856?\nAnswer: 61886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-30)*9*10\/32. Which is the closest to 1\/4?  (a) 5  (b) q  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*g*i*j**3*k - g*i*j**3 + 4*g*i*k + 425*g*j**3*k + 14*g*j**2*k - 3*g + i*j**2 + i*j + 4*k wrt j.\nAnswer: 24*g*i*k - 6*g*i + 2550*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + 0)*-4 + (1*sqrt(343) + 0 - sqrt(343) - sqrt(343)))**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2 = -35. Suppose 16*j - n*j = 5. Sort -4, 4, 5, j in increasing order.\nAnswer: -4, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from usuuus. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 285 or 31644?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one sixths of a day in hours?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4840.625 kilograms to milligrams.\nAnswer: 4840625000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 6*m - 59. Let o(c) = c**3 - 10*c**2 - 6*c + 138. Let d be o(9). Calculate the remainder when m is divided by -3 - -2 - (d - 16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4434372 divided by -233388.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**7\/x)\/(x**6*x)*x\/((x**(-2\/7)*x)\/x)*x**(1\/19) assuming x is positive.\nAnswer: x**(178\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 332437679 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/2 and -41\/16108.\nAnswer: 16108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19)\/152)\/((-1)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15746527193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 120252 and 416372?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -584.42 + -1.58. Let d = n + 578.83. Let z = -7.3 - d. Sort z, 4, -0.1, 5 in ascending order.\nAnswer: z, -0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332021 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1757138.6 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 = -24*q - 45*q. Which is the third biggest value?  (a) 2\/31  (b) q  (c) 0.03  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -127289.78425 and -227.\nAnswer: -127516.78425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 8 = -v, 8*i - v - 9 = 3*i. Let y(n) = 192*n + 11. Is 6 a factor of y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 375*m**4 + m**2 - 303*m**4 + 39*m**3 + 4*m**2 + 27*m**5 + m**2.\nAnswer: 3*m**2*(m + 2)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 11*q**2 - 14*q + 13. Let j be (-9)\/(-27) + 184\/(-12). Let u be j\/6*12\/(-3). Determine s(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.08434ml to litres.\nAnswer: 0.06508434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -1729*f**5\/60 - 771*f**4\/8 - f**2 - 287. What is the second derivative of h(z) wrt z?\nAnswer: -3458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63 - 63.4. What is the nearest to j in 4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6414.244 centimeters?\nAnswer: 64142.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -45.7.\nAnswer: 228.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/84872 and -133\/12.\nAnswer: 254616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 14*p**2 + p - 5. Let y be m(14). Suppose 0 = -y*j - 0*j + 135. Solve 3*r - j = 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -246.412 + 248.4. Is h smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1764503837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -351, -381, -411, -441, -471?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1260*j**4 + 10740*j**3 - 5305*j**2 + 850*j - 45 = 0 for j.\nAnswer: -9, 1\/7, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 v, and 1 n when four letters picked without replacement from uuvuunuusvuuuu?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 11*x + 27 = -6*x, w + 3*x = 6. Let z = -3 + 2. Let k = z - w. Solve -l - 4*j = k, -2*l + 9 = -0*l - 5*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 23*n - 359. Let u be s(16). Solve -9 = -39*f - u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (9 - -2 - 11) + 1\/((-25)\/(-8)) and 27\/38.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*r + 190 = -81*r + 121*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.86 + -0.14. Let r = 3.0000014 + t. What is r rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 12:03 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 805860130 to the nearest integer?\nAnswer: 28388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00345 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7311 = -20*u - 5930 + 8159. What is the greatest common divisor of u and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 1*(-1 + 2). Let s be 8\/j - (73 + -4). What is the remainder when 44 is divided by ((-78)\/s)\/(6\/80)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 607 is divided by 85.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is the highest common divisor of 352479 and 221508?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -13*s - 126. Let z be n(-10). Suppose z*t + 599 = 2*p - 685, -t = -p + 641. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 461 = 8*p + 445. Factor 0*f + 1\/3*f**3 + 32\/3 - 2*f**p.\nAnswer: (f - 4)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 715515 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -211*n - 196 - 859 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {d: 4, p: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**4\/7 + 4*q**3\/7 + 6*q**2\/7 + 4*q\/7 + 1\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tgt when three letters picked without replacement from agcaaagctvttatat?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 241 + 2\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*l - 626. Suppose -4*w + 3*c = 1, 47*w = 43*w + c + 29. Calculate the remainder when l is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from haaaahaaaaaa. What is prob of sequence ahha?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9331123183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*s + 2*s - 1 + 2 - 11*s in the form f*s + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -2. Suppose -u*h - h = -168. Suppose 30 = 5*o - 2*o. What is the remainder when h is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 144 = 4*l, 3*a = -2*l - 81 - 72 + 89 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 8) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1 + (0 + -6*sqrt(5)*-4 + -2)**2.\nAnswer: -96*sqrt(5) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 10*r = -262. Let w = r - -71. Let i = w + 70. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27 - 4*l**2 - 2*l**3 - 24 + l**2 - 2*l to k*l + s + p*l**2 + z*l**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 56 - -174. Suppose -3*u - 2*u = -z. Suppose 0 = -5*w + 2*x + u, -4*w - w + 37 = x. Solve -2*h + w = 0, -5 = -n - 5*h + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.9700789 + -1.97. What is l rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -11*k**2 + k + 7. Let o(h) = 32*h**2 - 4*h - 20. Let x(z) = -8*a(z) - 3*o(z). Let j = 60784 - 60780. Let n(p) = -p - 1. What is j*n(u) + x(u)?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 e, and 1 a when three letters picked without replacement from kvjcjcecaceec?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8593 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 189 - 138 - 3107*r - 51 in the form p*r + s and give p.\nAnswer: -3107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 215904293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1100608 and 960?\nAnswer: 16509120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17243873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23*d**2\/5 - 44*d\/5 - 4\/5.\nAnswer: (d - 2)*(23*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b**2*w**2 + 4296059*b*w + b + 3*w**2 - 1523*w + 1 wrt b?\nAnswer: -4*b*w**2 + 4296059*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 7. Let a be -5 + -3*(-3)\/g. Let r be a\/6 + 8\/3. Is r less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*m - 86*m + 15 = 0. Solve -7 = -h - m*j, -4*j + 0*j + 22 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 8*t**2 - 2*t - 10. Let k(s) = s**2 + 17*s + 44. Let h be k(-13). Give v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**2 + 15*s + 4. Let f be l(8). Let b be 15 + f\/1 - (2 + 1). Solve -o + b = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 86, -2.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 3*v + 9. Suppose -a + 5 = 4*a. Let c = a + v. Sort c, -3, 3.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*m = -10*m + s + 22, -4*s - 13 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20010122 - 11?\nAnswer: 20010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of h**5\/30 - h**4\/12 + 5*h**3\/6 + 80*h**2. Calculate the remainder when 48 is divided by a(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -580*z - 559. Let u be s(-1). Which is the third biggest value?  (a) -2  (b) 4\/9  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 5:45 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**16)**(-21) assuming n is positive.\nAnswer: n**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -361*b**3 + 205*b**3 + 155*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16960 - 16942. Let b(w) = -w**3 + 2*w + 2. What is the smallest common multiple of r and b(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 414180 and 5841?\nAnswer: 4555980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 4)*(-2*u + 6*u - 3*u) + (1 - 3 + 1)*(84 - 102*u - 84).\nAnswer: 101*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u. Let n be w(-5). Let b(a) = 3*a + 31. Let g be b(-7). Suppose -4*l = -t + g, l + 44 = 2*t + 45. Sort n, -1, t, 7.\nAnswer: n, t, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5284\/14 + (-48)\/112 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*(-1)\/(-1 + 2). Let i = 12 - 9. What is the third derivative of -2*p**x + 7*p**3 - p**2 + 4*p**2 - 2*p**i wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -310 and 0.5.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5*p = -0*p + 182, 5*f + 486 = -3*p. Let c = f + 180. Suppose 6*r - c = -r. Solve 2*n = -2*b + n - r, -b - 8 = n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*f = -1157083 - 20137561. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k - 6. Let q be x(-5). Suppose -3*g + 2*p + 19 = 0, -31 = -5*g + 8*p - q*p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 5*o - 201, 3*f + 2*o = 57 + 65. Suppose 15*j + 20 - 125 = 0. Let d = f - j. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + (1*sqrt(21))\/sqrt(7) - sqrt(3))**2 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9927047ug to milligrams.\nAnswer: 0.0009927047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00101688345 to 7 dps.\nAnswer: -0.0010169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1984 and 235786?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 419861?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 29 = -5*v, -v - 2*v - 4*a - 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (121\/(-36))\/(26\/(-39)) and -151\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39*b**4 + 1526*b - 926328 wrt b.\nAnswer: -156*b**3 + 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1130*a + 6529 - 7443*a - 13090 + 6561 to the form s*a + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -214, -5 in descending order.\nAnswer: 4, -5, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x = -19*x - 50. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2708246 + 120835.\nAnswer: 2829081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -11*z**3 + 4*z**2 - 4*z - 35. Let o(h) = -h**3 - h**2 + h + 1. Let d(k) = a(k) + 4*o(k). What is the derivative of d(m) wrt m?\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/70)\/((-6)\/240).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.166 and 0.04704283.\nAnswer: 0.21304283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 0. Let n = 96 - g. Factor 44\/3*o - 4\/3 + n*o**3 - 157\/3*o**2 - 27*o**4.\nAnswer: -(o - 1)**2*(9*o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.42091 rounded to 3 decimal places?\nAnswer: 0.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuorrujrududuourro. Give prob of sequence rrr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = -3*i + 6*i. Suppose q = 5*x - 249, -5*x + q = 2*q - 241. Is i not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*u**3 + 8*u**2 - 25*u**3 - 21*u**3 in the form m + q*u**2 + p*u + j*u**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -4)*(-21 - -22). Suppose 0 = -l - 4*s + 8*s + 8, 0 = 4*l - a*s - 32. Solve 6*z + l = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 645548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -r + 2*j, -4*r + 4*j = -0*j - 16. Suppose -3*q = -r*o - 7*q + 160, o + q - 52 = 0. Calculate the common denominator of 2\/(-6) + 214\/o and 75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 49073, 392770, 1325729, 3142580, 6137953, 10606478?\n\"Answer: 49105*j**3 + j**2 - 41*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 9*g - 8. Let x be n(-8). Suppose x = 4*t - 6 + 2. Suppose 2*u - 12 = -u. Solve -c - u = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -264, 5 in decreasing order.\nAnswer: 5, 0, -1, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4160 and 5200?\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -98*p**2. Let m(a) = -5594137*a**2. Give m(u(w)).\nAnswer: -53726091748*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -4*h**2 + 9*h - 4*h - 7*h - 3. Let i be d(-4). Round i to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -5*(sqrt(98) + 0) + -5*(-5 + 1*sqrt(128) + sqrt(2)))**2.\nAnswer: -3200*sqrt(2) + 13200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 222*w. Let d(g) = 46*g + 2064. Let x be d(-45). Let n(i) = -37*i. What is x*k(z) - 37*n(z)?\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 + 2610*s - 7839.\nAnswer: (s - 3)*(s + 2613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 5*s + 50. Suppose -2*i - 92 = 10. Let a = -46 - i. Solve -5*l = -2*f - 15, -a*l = -10*l - 3*f - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.04  (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 185 - 54*b - 47*b - 127 + 102*b + 598 as k*b + h and give h.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1796)\/16 + 60\/48. Sort -3, 1, k in increasing order.\nAnswer: k, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 3*b - 3*k = 86, 0 = 3*b - 5*k - 58. What is the smallest common multiple of 4 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*g**2 + 13*g**2 + 9*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of -1\/4*n**2 + 7\/12*n**3 - 25*n - 5\/8*n**4 + 0 + 9\/40*n**5. Factor d(f).\nAnswer: (f - 1)*(3*f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 + 4*j**2 + j. What is the lowest common multiple of 2 and q(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*u + 18, 69*n - 72*n = -5*u + 17. Solve -u = -16*t - 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-2))\/((-51)\/68)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 82\/99 and -24\/759385.\nAnswer: 6834465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -5121 and -5121 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.26, -0.3, -2, 0.4, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {s: 3, a: 5, k: 1, v: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16050315 divided by -5.\nAnswer: -3210063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*d + 2. Let j be (d + -1)\/(2 - 0). Suppose j = -0*f - f + 37. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*g**4 + 2*g**3 - 18*g**2 + 327*g - 5081256?\nAnswer: 20*g**3 + 6*g**2 - 36*g + 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 728758, 728731, 728682, 728599, 728470, 728283?\n\"Answer: -2*o**3 + o**2 - 16*o + 728775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37509*n + 0*n**3 - 583 - 37511*n - 2*n**3 to z*n**3 + o*n + v + f*n**2 and give v.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + u + u)*((2 - 2 - 1)*(-2 + 3 - 2) + 0 + 2 - 3 + 32 - 44 + 29).\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45755021*k**2 - k - 786392.\nAnswer: -91510042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4*m + 15. Suppose -j - 4 = 4. Let c(l) = -l**2 - 9*l - 1. Let g be c(j). Is a(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2 - 50*z.\nAnswer: 2*z*(z - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25025)\/18200*(-28)\/(-21)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-264)\/(-12)*5*10\/(-50).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -4*z + 126. Let c be h(17). Differentiate 48*i - c + 47*i - 49 - 100 wrt i.\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*l - 75*l + 77*l.\nAnswer: -207*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l**2 - 4*l**2 - 4*l**3 + (-5*l + 5*l - 2*l**2)*(0*l + 3*l - 4*l) + 79*l**3 - 159*l**3 - 174*l**3 + 674*l**3.\nAnswer: 418*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -9*x**4\/2 - 11*x**2 + 52*x. Differentiate w(i) wrt i.\nAnswer: -108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1135 - 333316?\nAnswer: -332151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.01 + -55.01. Let o = t - -53.9999912. Round o to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2396*y - 2418*y + 21956 = 0. What is the remainder when y is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 224\/22 + (-1296 - -1285)\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 891 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44 + -48. Which is the closest to 2?  (a) -1  (b) -2\/7  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, g: 3}. Give prob of picking 3 c.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.8, 0.5, 2, 0.011?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 118 + -57. Suppose 13*q - f = -22. Let -4\/5*r**q - 4\/5*r**2 + 0*r + 0 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73103578 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(600)*1)\/sqrt(12) - sqrt(600)\/sqrt(48))\/(sqrt(70)\/sqrt(112) - (sqrt(1210) + (1*sqrt(1210) - sqrt(1210) - sqrt(1210)))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5915, -6348, -6769, -7172, -7551, -7900?\nAnswer: -8213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 8:54 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5236405 (base 7) in base 16?\nAnswer: 9a219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 1:59 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(448) + sqrt(448)*1 + sqrt(448)) - (sqrt(77) + sqrt(77)*3)\/sqrt(11)) + ((4*sqrt(112)\/sqrt(4))\/(sqrt(44)\/(sqrt(44)\/sqrt(4))))**2.\nAnswer: -27*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2633918 from 13.\nAnswer: 2633931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12 or 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 17*w**4 + 5*w**2 + 5*w + 5. Let m(t) = -2*t - 8*t**4 + 0*t**4 - 2*t**2 - 3 - t**4. Let k(q) = -2*c(q) - 5*m(q). What is the derivative of k(g) wrt g?\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/36)\/(78\/(-78)*(-1)\/6). Let i(s) be the third derivative of 0*s + 0 + 0*s**4 + p*s**3 + 3\/20*s**5 + 37*s**2. Differentiate i(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05791 * -6968.\nAnswer: 403.51688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3152 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h + 2*x + 44 = 21*h, -x = -5*h + 64. Solve c - h = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22329112*i*x**2*z**2 - 7*i*z**3 - 109*x**2*z**2 + 535*x*z**3 + 34*z**3 wrt i.\nAnswer: 22329112*x**2*z**2 - 7*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 6:35 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.38382 and 0.1409?\nAnswer: 0.52472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 2*a = a - 1, -32*a + 28*a + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**9)\/h**(-4))**(-35) assuming h is positive.\nAnswer: h**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + q**2)*(4 - 6 + 0 - 1 + 2 + 0 + (3 - 5 + 3)*(0 - 1 + 3))*(-13 + 13 - 2*q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(216))\/sqrt(8))\/sqrt(9)*-4.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 129476172 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11501 and 3472?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23254*c**2 - 4*c - 23270*c**2 - 5*c - 7*c + 6*c + 10*c.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/14981, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.6 + 1.4. Let q = -7 + 6.7. Let i = q - 0.1. Sort 0.3, x, i in decreasing order.\nAnswer: x, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fn when two letters picked without replacement from sufzfsiiinzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from btbtbbt. Give prob of sequence tb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36427937?\nAnswer: 7, 13, 400307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -38) + (-4 - 1) + -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5a - 62?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 10, k: 4, a: 5}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 50\/3. Is c less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 - 6*g**2 + 7*g - 6. Let a be l(5). Let b be (-1)\/a - (-18)\/8. What is the derivative of -1 - 2 - y**b + 6 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -216 divided by -24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -217786 and -1.62.\nAnswer: 352813.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136)*-1)))\/sqrt(8)*3)**2 - (2*sqrt(6171))\/sqrt(3).\nAnswer: -22*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.073, 8, 2\/747, -1, -4 in ascending order.\nAnswer: -4, -1, -0.073, 2\/747, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -56305*i*o**2*x + 4*i*o**2 - 576*i*o + 2*i*x + 21*o wrt x?\nAnswer: -56305*i*o**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14411053 and 11586.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-198)\/24)\/(-11)*-4 - -12. What is the highest common divisor of 1926 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(2) + (sqrt(2) - (2*sqrt(2) + sqrt(2)))))**2 - sqrt(72)*-2.\nAnswer: 12*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 6*((sqrt(234) + 2*sqrt(234))*-2)\/(sqrt(288)*2 - sqrt(288)) + -1)**2.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = c - 150. Let f = 69 - c. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5*-4*1\/(-10). What is the second derivative of -j*h + 6*h**2 - 4*h**2 + h**2 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zixoboziqzoxi. What is prob of picking 1 i and 2 o?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 253297 + -253273. Suppose 5*n - 2*l - 24 = 0, 0 = -2*l - 4 - 0. Solve -4*k - 32 = 3*r + r, -2*r - n*k - o = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 18 = -4*y, y + 0*c + 3 = 3*c. Suppose -l - y = -6. Suppose -3*q - o + 55 = -29, l*q = 3*o + 84. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -106 + 75. Let r = g - -31. Is -439*(r - 1 - (3 + -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u - 19 + 22 - 5*u.\nAnswer: -8*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1900733, -1900736, -1900741, -1900748?\nAnswer: -1900757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*r + 20 = -42*r. Suppose -4*m = -2*s + m + 15, 5*m - 25 = -2*s. Suppose r*d - 10 = s. Solve -3*b + 5*b - d = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2662427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -2985853\nAnswer: 20900971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -715 - 185 = 6*a. Put a, -1, 1 in descending order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28478060 by 547655.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 21780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 34, 45, 70, 115, 186?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1963659527 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(4\/3)\/l)\/(l*l**3\/l)*l\/l**(-1\/3)*l\/(l*l**5*l) assuming l is positive.\nAnswer: l**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4559, -3\/4, -7 in decreasing order.\nAnswer: -3\/4559, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 67360458*a - 31898838.\nAnswer: 67360458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 3*d - 1. Let o be t(3). Let s = 4 + o. Suppose -s = 5*j + j. Let p(h) = h**2 + 3*h. Calculate p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 9*v + 1. Let h = -1366 + 1361. Calculate t(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 3*h + 31. Calculate n(13).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 48706\/3234 - 4\/66. Solve -i*l = 1 + 59 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1087137 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -16954 minus 10138124727?\nAnswer: -10138141681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -22?  (a) 2\/3  (b) -2\/27  (c) 0.3  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.38 and 26.3.\nAnswer: 25.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 21. Let d = x - 3. What is the nearest to 2 in 3, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -7*a**2. Let f be (390\/780)\/(1\/4). Let p(d) be the second derivative of 0 + 0*d**f + 13\/6*d**3 + 6*d. Give u(p(r)).\nAnswer: -1183*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 + 55*j - 4. Determine a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 19 = 2*f + 16, -f = -2*r + 3. Let k be -3*3\/(18\/(-8)). Solve 3*i - 9 = 0, 2 = -3*u + k*i - r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*y**2 + 8*y**2 - 6*y**2)*(-2 - 2 + 5) + (-4*y + y + 2*y)*(-4*y + 6*y - 4*y) - y**2 - 3*y**2 + 3*y**2 - 3*y**2 + y**2 + 3*y**2 - 7 - 2*y**2 + 6 - 11.\nAnswer: 9*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85364a (base 12) to base 8.\nAnswer: 10006332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/405 and -133\/120?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 5*u - 33, -3 = -0*u + u - 5*t. Solve 0 = 5*y - 5*i, -3*y + u*y = -2*i + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 941, 3578, 7973, 14126, 22037, 31706, 43133?\n\"Answer: 879*p**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 240 = -10*r. Suppose 13*x - 16*x = -r. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -4  (b) 2.131  (c) -5  (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 630 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4024 - -4?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3770477537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*g + 11. What is the third biggest value in 0.4, g, 2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121*((-3)\/132)\/((-587)\/2348).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1297 - 1296.6. Let o = 0.1 + 0.9. What is the nearest to o in -4, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 4 - (-1 - (6 + 8) - (-9 + -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(64) + (sqrt(64) - (sqrt(64) + (1*sqrt(64) + sqrt(64) - sqrt(64) - sqrt(64)) + sqrt(64) - sqrt(64))*3))*6)\/((3*sqrt(450))\/sqrt(9)).\nAnswer: -8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -28\/101635721 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -5*q + c, 2*q + 5*c = -2*q. Suppose 4*m - 84 = -q*i + 91, -2*m + 68 = -4*i. Suppose 0*t - 60 = -t. What is the highest common factor of t and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.46 less than -21.86?\nAnswer: -44.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 140170\/116095 - 2\/31. Suppose 0*w + h - 2\/7*w**2 = 0. What is w?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -251, -1070, -2451, -4388, -6875, -9906?\n\"Answer: p**3 - 287*p**2 + 35*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n - 2. Let i be l(-4). Let j be (0 - i) + 82702\/(-2804). Let o = j + -4\/701. What is the common denominator of o and -71\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 7 = c, 3*c - 25 = 5*x - 0*x. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 11453861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 914, 875, 838, 803?\n\"Answer: c**2 - 42*c + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 242340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a3933 - 6?\nAnswer: -a3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15244999 and 777?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 4*o - 5. Let w be z(-7). Let k(t) = -t**2 + 26*t + 7. What is the units digit of k(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 953085486.\nAnswer: 2, 3, 19, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v + 390 = -1272 + 285 for v.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**2 - s**2 - s**2)*(-10*s + 3*s**3 + 12*s + 3*s**2 - 4*s**2) - 132*s + 132*s - 5*s**5 + (3*s**2 - 2*s**2 + 2*s**2)*(-24*s**2 - 7*s**3 + 24*s**2).\nAnswer: -29*s**5 + s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -1 - 2 - a + 3. Calculate the smallest common multiple of (-8 - -10)*12\/(1 + 2) and h(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 418*y**2 - 160*y**2 + 32*y**2 + 793*y**2 - 1 - 454*y**3 - 1764*y**3 wrt y?\nAnswer: -13308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -114 in -134, 0, 1, 0.08?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15777 is divided by 309.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142 - 206 = -16*v. Let c = -148 - -270. Suppose 9*l = c + v. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3 - 1)\/16)\/(375\/120)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1357 + -4?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10579545 is divided by 3526494.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 1:17 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 227194 divided by -25.\nAnswer: -227194\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 511?\nAnswer: 3\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (1900\/(-12) + -4)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 181886, 181894, 181916, 181958, 182026?\n\"Answer: v**3 + v**2 - 2*v + 181886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -12*d - 34. Let z be (-1)\/((48\/(-42))\/d). Which is the nearest to 0.1?  (a) z  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a**3 + 15 - 15 - 8*a**3 - 2*a.\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -cad5d + 5?\nAnswer: -cad58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((l\/l**(2\/3))\/l)\/l**(8\/3))\/((l\/(l**3\/l)*l*l)\/l*l**5*l))**(1\/12))**(1\/40) assuming l is positive.\nAnswer: l**(-7\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - (17 - 3 - 2). Let k(r) = r**2 + 8*r - 5. Let u be k(j). Solve -3*g = -u*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 - 7. Let a(o) = 4*o - 15. Let b be a(5). Let t be ((-8)\/42)\/(7 - b). Put q, -2, t in decreasing order.\nAnswer: q, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c - 4. Let y be n(3). Let f = 30 - 10. Suppose 3*p = -p - f. Sort y, -4, p in descending order.\nAnswer: y, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-6))\/3*1960\/(-49)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -3*w + 3*f, -w + 5 = -3*w - 5*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus 51036833?\nAnswer: 51036833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - a - 4*a + 4*a + (-1 - 3 + 2 + (5 - 2 - 1)*(-4 + 3 - 1) + 1 - 1 - 3)*(7533 - 7533 - 103*a))*(a + 6*a - 2*a).\nAnswer: 4630*a**2 + 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3913\/9 + 8\/36. Let t(h) = -o - 4*h + 435. Let u(r) = -3*r. Give t(u(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 1 + 1)\/2. Let l(j) = -41*j**2 + 4*j - 15. Let w(f) = 51*f**2 - 5*f + 17. Let r(o) = 5*l(o) + 4*w(o). Give r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100022 - 1122?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16813\/4 + -121531\/28. Let u = 8289\/56 + j. Calculate the common denominator of -55\/6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 10, 17, 24, 31, 38, 45?\n\"Answer: 7*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-7)*l*l**(-4)*((l\/(l\/(l*l\/(l*l*l*l\/l**(2\/7))))*l*l)\/l)**(-4\/13))\/((l*l**(-3))**(-2\/41))**(-3\/8) assuming l is positive.\nAnswer: l**(-72707\/7462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (4 + 8096)\/9 - (9\/(-3) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-6)\/z**(-2\/23)*(z**3)**(-1\/50) assuming z is positive.\nAnswer: z**(-6869\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47378 + 594980 = 15769*s - 130323 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95, -81, -49, 7, 93, 215, 379, 591?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -30.97 and 4.\nAnswer: -123.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -193\/5 + 39. Factor 0 + 0*a - q*a**2.\nAnswer: -2*a**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 233580 divided by 4.\nAnswer: 58395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -h + 60. Suppose 3*y = 2*y. Let m(l) = -2*l**3 + 93*l**2 + 112*l + 1540. Let d be m(48). Solve 0 = -o + 3*o - 3*n - h, d*o + 2*n - 8 = y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -93*m**2 + 85*m**5 + 183*m**2 + 20*m - 89*m**2 wrt m.\nAnswer: 5100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, b: 1, h: 4, c: 2, w: 7}. What is prob of sequence cwc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -120 - -124. Suppose -q - 5*f = -182, g*q + 18*f - 15*f = 711. Calculate the highest common divisor of 236 and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-6*((sqrt(91)*3*6)\/((sqrt(49)*1)\/sqrt(7)))**2 + 2)*-4.\nAnswer: 303240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*p**2 - 3 + 116*p**2 - 5*p**3 + 5 + 4.\nAnswer: -5*p**3 + 84*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -39 - -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-21520)\/(-24) + 2\/6. Let d = c - 8065\/9. Factor 8\/9*s - 2\/9*s**2 - d.\nAnswer: -2*(s - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -88*u**3 - 5*u**2 + u + 3. Calculate b(-1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.73416 * -852\nAnswer: 625.50432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**4 + 0*s**3 + 3*s - 11403*s**2 + 11479*s**2 - 2*s**3 - 4*s in the form k*s**3 + o*s**4 + f + t*s + x*s**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 19*h + 17. Let x(p) = 29*p + 26. Let o(q) = 8*u(q) - 5*x(q). Let v(r) = -r - 1. Let s(m) = m**2 - 12*m + 6. Let l be s(11). Give l*v(a) - o(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y - 2 - 4 + 1. Let l be q(8). Suppose -8*a = -l*a. Put -1, a, 5 in increasing order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (18\/30)\/(1 - (-1534)\/(-1535))?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.34 * -92.08.\nAnswer: -31.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7982.68 micrometers to nanometers.\nAnswer: 7982680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-8))\/((-55)\/(-10) + -6). What is the second smallest value in x, 5.3, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u - 12*u - 5 = 0. Let f be (-12)\/(-6) - (14 - 2). What is the units digit of (u - -1)\/(f\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2054, -8239, -18550, -32987, -51550?\n\"Answer: -2063*t**2 + 4*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 - 35 - 5*k + k)*(29*k + 5*k**2 - 29 - 1 + 29).\nAnswer: -20*k**3 - 101*k**2 + 91*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 101*g + 5818. Let w be n(-142). Sort w, 4\/9, 1, -14, 0.2.\nAnswer: -14, w, 0.2, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 1175 = -10967. Calculate the highest common divisor of 54 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 20*b - 23. Give s(-6).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000074185224 rounded to 6 decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 64\/12)*12\/8. Let i be ((-3)\/5)\/(4\/(-20)). Suppose -a + 68 = t*f, -a + 70 = 4*f - i*f. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((20\/(-12))\/((-6)\/18))\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3e147 (base 16) to base 6\nAnswer: -5241115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/3*2\/(4\/3). Suppose -29 + 81 = z*d - 4*t, 0 = -d - 5*t + 19. Let s(w) = w**3 - 13*w**2 - 16*w + 28. Let r be s(d). Put 1, -4, r in increasing order.\nAnswer: -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -17) + (-14 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/123, -0.4, 6.027?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -259 + 257. Suppose -8*m + 3564 = -74*m. What is the second biggest value in m, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17498195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4580707199 to the nearest integer?\nAnswer: 67681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 30 = 5*d - 3*g, 3*g = d - 20. Suppose 5*h - 2 = 8*c - 4*c, 0 = -d*h + 10. Suppose 2*j = -3*j + 10. Solve -4 = j*s + c*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 224.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72819 is divided by 2553.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2811*q**2 - 3*q = 0. Calculate q.\nAnswer: -1\/937, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 9 - 1 = 2*r, 2*i - 5*r = 1. Suppose 0 = i*q - 12. Solve 2*t - q = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/21 in 2\/15, 2, -14, 1.1, 7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1036713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 34*z + 234 - 166 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5043783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(2\/3))\/v)**41*v\/(v**(-4)\/v)*v**(-1\/5) assuming v is positive.\nAnswer: v**(-323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.387 - 1.887. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 8:29 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -440 (base 5) in base 9?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.96788 - 0.03682. Let g = -3 - o. What is g rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13a00 (base 11) to base 9.\nAnswer: -30188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*i**3*m**3*u + 156*i**3*m**2*u - 6*i**2*u - 32*i**2 - 2*i*m**3 wrt i.\nAnswer: -30*m**3*u + 936*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -b202 (base 15) in base 11?\nAnswer: -26261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.07  (b) -0.5  (c) 816  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {y: 1, t: 8, i: 1, z: 2, c: 1, f: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -16*a + 17*a + 25622, -3*g + 4*a + 38418 = 0. What are the prime factors of g?\nAnswer: 2, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + -5. Suppose -3*c = -r*l + l + 17, 10 = 2*l. Let m(h) = -1 - 9*h + c + h. Let x(g) = -g. Give m(x(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 595924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(4\/9)\/(k\/(k*k\/(k*k**5))))\/((k**(-3\/8)\/k*k)\/k**(-3)) assuming k is positive.\nAnswer: k**(-517\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001220 + -211?\nAnswer: -1002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-4))\/(-1 - 30\/(-48)). Let t(o) = o**2 + o - 1. Let r(a) = -6*a**2 - 12*a - 1. Let u(h) = r(h) + 5*t(h). Determine u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 91765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1056563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -551 and 22.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45818371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1, 9, 25, 47, 75, 109?\n\"Answer: 3*t**2 + t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 8 + 48 + 3 - 5 + 0 + (-1 + 1 - 1)*(0 + 3 - 2))*((1 - 3 + 0)*(4*y - y - y) - y - 3 + 3 - 3 + 3 - y - 3*y + 0*y + 0*y).\nAnswer: -540*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j\/(j\/(j*j**17)))*j**(-22)*j*j*(j*j**7*j*j)**16 assuming j is positive.\nAnswer: j**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 3*y + 9 = 0, -10 + 12 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 734226 is divided by 13304?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 2*m + 84, -m - 4 = 1. Suppose -2*c - 3*c = 0. Suppose c = -0*v + v - 13. Calculate the remainder when u is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -787.80263 - -833.802667. Let k = -129 - -83. Let i = h + k. Round i to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xwx. Give prob of sequence wxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 - 3*d. Let r be l(5). Suppose 2*s = -0 - 4, 3*s = 5*y - 36. Suppose -5*j + y*m = 4*m - 41, 0 = -5*m + r. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9078 and 3026?\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*49\/35 - 7. What is the nearest to p in -0.6, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -3, 0.3, 161, 18, -10\/3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -912*h - 2927 + 191 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -17.48*-140\nAnswer: 2447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2068.19 + 2083. Let y = 7.642 - l. Let t = y + -0.032. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -10 - i**3 - 4*i + 5*i + 31*i**2 - 3*i - 24*i**2. Suppose 11 = 5*c - 29. Calculate the least common multiple of c and l(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 10:46 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4648 - -4629. Which is the closest to -0.3?  (a) 2\/7  (b) 3  (c) m  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 5*f - 1708, 5*s = -0*s - 4*f + 2144. Calculate the highest common divisor of s and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584221588 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 49 = 2*u - 13, 2*w = 4*u - 132. Suppose u = 4*i - 74. What is the remainder when 105 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 57\/11 + 2\/(-11). Let x(a) be the first derivative of -11*a**3 + 2 + a**3 + 0*a**4 + 8*a + 2*a**u - 4*a**2 - a**4. Determine o so that x(o) = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 + 7*q**2 - 4654*q - 1695. Calculate n(65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 17, d: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 i when four letters picked without replacement from {h: 1, c: 1, x: 6, i: 1, k: 1, a: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*w + 155 - 715 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 430 divided by 430\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3442003 in -10, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 60573 - 3?\nAnswer: 60570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -292030236, -292030232, -292030226, -292030218, -292030208, -292030196, -292030182?\nAnswer: -292030166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 11*k**2 + 5*k - 7. Let x(l) = -l**2 - 17*l - 11. Let h be x(-16). Let n(s) = -6*s**2 - 3*s + 4. Calculate h*n(z) + 3*y(z).\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 2*y + 3. Let b be 2\/(-5) + (-48)\/(-70). Is b greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l**3 - 5*l**3 - l**3 + (-3 + 1 + 0)*(l - l + 3*l**3).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ed3eb (base 16) in base 15?\nAnswer: 29d93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, s: 1, t: 2, q: 2, y: 1}. What is prob of sequence usyt?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 9 = 0, -5*g + 8 = 5*z - 12. Suppose -236 = -2*w + 2*k, k = 4*w - g*w + 338. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 3:05 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5*d**3 + 28*d**2 - 4*d + 23. Let a(z) = -z**3 - 15*z**2 + 2*z - 12. Calculate -7*a(b) - 4*u(b).\nAnswer: -13*b**3 - 7*b**2 + 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/2271 - -13637\/24981. Do p and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 + -60. Let m = 79.854 + l. Let w = m + 0.25. Round w to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37 + -38. Let s = -1.2 - -1.03. What is the closest to x in 4, s, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/19 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**3 - 13*d**2 - 10*d + 9. What is b(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11.20798 in -2\/9, -2\/3, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -5525.82528 to one decimal place.\nAnswer: -5525.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4747, 6572, 8397, 10222?\n\"Answer: 1825*x + 2922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -120.4 - 580.6. Is 1 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 6\/5, 1, 13\/8, 19, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3d19 + 4?\nAnswer: -3d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, 1\/2, -1, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 * -9\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1297.5 - -1298. Let a = -80 + 242\/3. Put -1\/7, a, -1, v in ascending order.\nAnswer: -1, -1\/7, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 752 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -41, -3\/14 in decreasing order.\nAnswer: 0.3, -3\/14, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 5 = -7*w. Suppose 2*d + 12 = -3*y - w*d, y = -3*d - 9. Solve y*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ifmbbhh. What is prob of picking 1 f and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**3\/2 - 27005931*b**2\/2 + 54011844*b - 54011838 = 0.\nAnswer: 2, 9001973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of o**4\/12 + o**3\/6 + 3*o**2 + 2*o. Suppose 0 = 4*u + 2*u - 2*u. What is the units digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0499 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -5*h + 12*h**2 - 3*h**2 + 5 - 7*h**2. Let v(l) = -2*l**2 + 5*l - 4. Let a(t) = 4*d(t) + 5*v(t). What is the second derivative of a(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - f + 11. Suppose -2*c - 5*j = 5, 0 = -5*c - j - 5 + 4. What are the prime factors of h(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2479 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/(60\/10)*-1*1\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 18 - 10)*(2 + 1 - 1)*(-2 - 2*t + 2)*(-1 - 7 + 1).\nAnswer: -1428*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9015322.\nAnswer: 2, 79, 57059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 5, -2\/3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011011 (base 2) in base 15?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - 7. Let r(c) = -c**3 + 7*c**2 - 4*c - 6. What is the remainder when r(s) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55 - 48 - (-6 + 12 + -3 + 1 + 41)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 + 0)*(-l - l + 0*l) + 0*l - 3*l - 3*l)*(3*l**3 - l**3 - 3*l**3).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m. Let v be g(2). Suppose v*n + 3*q - 6*q = 19, 4*q + 12 = n. Let i = -77 - -133. What is the greatest common divisor of i and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 5*s + 15. Suppose 0 = -s*n - n + 424. Let b = -40 + n. Calculate the greatest common divisor of 44 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-4))\/(11\/(-22)). Let o be a + -7 - -6*(-3)\/(-6). Let g = -6 - -6. What is the nearest to o in 4, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of -3*f**5\/20 + 177858*f**2. Let c(j) be the first derivative of 9*j**3 - 1. Calculate a(c(k)).\nAnswer: -6561*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 7 - 332555*k + 332564*k - 10. Suppose 0 = 5*a + 131 - 1. Let l be a\/6 + 4\/(-6). Let f(u) = -14*u + 5. Calculate l*f(r) - 8*v(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1882\/45 <= 84\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*k + 41*k - 792 = -38*k + 6*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = 842 - 947 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 84*p**2 - 69*p - 69. Let z be k(-1). Calculate the highest common divisor of 399 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*l - 5 = 5, s + 16 = -5*l. Let f = -4 - s. Suppose -w + 0*w + 2*w**4 + 4*w**3 + 2*w**f + w = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 27*o**2 - 27*o - 31. Let a be p(-26). Let t(i) be the first derivative of -1\/4*i**4 - 7*i - 1 - 4*i**2 - 2*i**3. What is t(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-1\/3)*v))**(-1)*(v*v\/v**3*v)\/(v\/(v\/(v\/(v**(-5\/3)\/v))*v)))**(-1\/17) assuming v is positive.\nAnswer: v**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 833 and 834 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.11 - -5.11. Let o = -0.02 + 0.82. Let h = -0.5 + o. What is the closest to 2\/5 in h, 3\/4, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + d - 104 = 0, 0*q + d = 2*q - 104. Suppose 321 = -55*w + q*w. Let k = w + 120. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 5*q + 13 = -2*i, -3*q + 3 = -3*i. What is the remainder when 13 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18899, -75491, -169815, -301877, -471683, -679239?\nAnswer: -924551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -8*g**3 + 4*g**2 - 3*g + 2. Suppose 4*i = -2*o + 22, -3*o = o + 5*i - 32. Let l be b(o). What are the prime factors of 16\/56 - l\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p + 3. Let d(o) = -2. Let z(a) = -3*d(a) - 2*n(a). Let u(l) = -7*l. What is u(z(t))?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -24 + 14. Let i(f) = -2*f - 12. Let u be i(b). Find the second derivative of u*l - 3*l**4 - 5*l + l**4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34 - 14) + -1 - 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**4\/2 - 9*c**3\/2 - 45*c**2\/2 - 51*c\/2 - 9.\nAnswer: 3*(c - 6)*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 39*l**2 - 979*l + 3425. Calculate f(21).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -ca3 + 75?\nAnswer: -c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0065 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**2 - 2*l - 8. Let y be g(-2). Suppose -5*f + 130 = 4*n, n = y*f - 111 - 14. Solve -4*w = 2*j - f, -3*j = 2*w - 4*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -590*757.9.\nAnswer: -447161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6297244 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 652848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 22515530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 649 - 459. Suppose 0*m = 44*m - 1672. What is the highest common factor of m and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -55, -7, 14\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 7, x: 5}. Give prob of sequence bxx.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -4*b - b**2 - 1\/12*b**4 + 0 + 0*b**3. Let u(z) be the first derivative of j(z). Let n(c) = -c**2. Give u(n(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000094852 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10708 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -17 - -20 - (-1 + 6 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/3, 1\/40, -0.02, -0.1, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00440383829 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 4*i. Let z be m(3). Suppose -18280 = -z*a - 4*t, -4*a = 3*t - 4799 - 19586. Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/35)\/(44\/(-110)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 128\/12 + -1 - 0. Let x = o + -9. Which is the closest to x?  (a) -1\/2  (b) 0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1, -3, -3\/4, -105, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -c - 2, 20 = 4*c + c. Let a be q - 2 - 1*-1. Let g = a + -1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1437 + 306 = -13*f. Suppose -f = 11*t - 802. Suppose -63*g = -t*g + 224. Is g a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 527722775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p - p + (-1 + 0 + 3)*(-2*p + 3*p - 2*p) + 3*p - 6*p + 2*p + 2*p + p - p)*(733*p**4 - 10*p**3 + 860*p**4 - 1487*p**4).\nAnswer: -212*p**5 + 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 289566 and 241305.\nAnswer: 1447830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - 2*n - 1. Let w be i(-1). Let u(x) = x**3 + x**2 + x. Let o be u(w). Solve o = 5*d - 2*k - 31, 2*k + 14 = d - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 6.14  (b) -1  (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -4*h**3 + 6*h**2 - 6*h + 3. Let o(u) = 7*u**3 - 10*u**2 + 10*u - 7. Let a(j) = 5*k(j) + 3*o(j). What is a(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*n - 22*n + n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -16a425 - 0?\nAnswer: -16a425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1051 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6347371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 797*o**4\/12 + 79*o**3\/3 + 313*o. What is the second derivative of b(l) wrt l?\nAnswer: 1594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1611 minus -2271?\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (3 - 4) - (-1 + 2) - (9 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200*k - 4275 = 1325. Solve -36*m = -k*m - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 4*z - 70, -3*z + z = -f - 36. Suppose z*j - 32*j + 9672 = 0. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -l - 35 + 16, -p + 3 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 2  (c) -0.1  (d) -6\/37  (e) -2  (f) 118  (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 23*g + 24. Let a be h(20). Suppose 14*q = 14 - a. Sort -1, 1, q, 9 in ascending order.\nAnswer: q, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -11. Let z be (-6 - -3 - w) + 5. Suppose -2*j = z*j + 3*q - 77, 5 = -5*q. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 96 + 762. Suppose -3*x + j = -123. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36693 and 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 72 + 6\/8*4. Suppose -4*u + 11*u = -511. Let c = l + u. Solve 4*a + s = 6*s - 23, -4*a - c*s = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*k**7*k\/(k*k**(2\/11)))\/(k**0)**39*k**0*k\/((k**0*k)\/k)*(k*k*k**(2\/3))**(-43) assuming k is positive.\nAnswer: k**(-3460\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000622915945 to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 197385.8l to millilitres.\nAnswer: 197385800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 105177 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 2:23 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -5ba75?\nAnswer: 5ba79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 133  (b) -1.1  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*k + 850 = -184*k + 152*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -12. Let v be u\/3 - 4\/(-6). Solve v*j + 2*j = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 10 - (-49)\/(-35)*5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427*r - 1347*r - 458*r - 2999*r.\nAnswer: -4377*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 + -4340?\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1\/17*(-18)\/4*106\/(-477)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 2*a + 11, 786*i + 2*a = 778*i + 38 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 10:55 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8  (b) -3  (c) -1\/9  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.9 + -1.8. Which is the biggest value?  (a) w  (b) -0.5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*h - 3*c - 4629 = 45*h, -11553 = -5*h + c. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 9*v**2 - 9*v + 13. Let h(x) = -5*x**2 - 3*x - 4. Let i be h(-1). Let q be 13\/(-8)*i*(-16)\/(-6). Let u(g) = -2*g**2 + 2*g - 3. Give q*u(a) + 6*t(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 0 + (5 - (-9 + 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30\/(-44) - 16\/(-88). Which is the third smallest value?  (a) 0.4  (b) l  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 90 in 1.67, 16, -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.4028 + 0.4028. Sort 0.4, -45, 0.03, a, 1 in decreasing order.\nAnswer: 1, 0.4, 0.03, a, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11414670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 5*r + 2, -38*i - 17 = -43*i + 2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 9:44 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(847) + sqrt(847)*2).\nAnswer: 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 8:44 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359765 is divided by 2856.\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37139 - n - 37139 + 8*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23956, -45206, -66456, -87706?\nAnswer: -108956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -2, 5, -55, 99 in descending order.\nAnswer: 99, 5, -2, -27, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + sqrt(77) + sqrt(77)*1*-1 + sqrt(77) + sqrt(77))\/((sqrt(196)\/sqrt(4))\/sqrt(7)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = m + 133, -5*m - 5*d + 37 = 782. Let u = m - -153. Solve 3*k = -u*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 364, 902, 1782, 2992, 4520, 6354, 8482?\n\"Answer: -2*b**3 + 183*b**2 + 3*b + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 107269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-12) + 124\/(-348). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -28*i + 24. Let w(p) = -p + 1. Let n(d) = b(d) - 24*w(d). Let k(u) = -u. What is 18*k(a) - 4*n(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -275*w + 186 wrt w.\nAnswer: -275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -374*d + 379*d = -x - 14, -5*x - 41 = -4*d for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*10*(-4)\/(-16) + 284. Let w be 2\/10 - x\/(-155). Solve w*m = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*g**2 + 8*g**3 + 43*g**2.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 616 and 4176858.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or 5198?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 141609437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 - ((-6 - -10) + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*2\/2*31 + -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 4*i + 25. Let w be q(6). Let p = -42 + w. Calculate the lowest common multiple of p and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1362 + 8610 = -1043*i - 3870 + 688 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2392 - 4048 = 14*u. Let p = -456 - u. Solve 4*c - p*a - a = 15, -4*c = 2*a + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 5. Suppose 47 = k*v - 25. Let f(z) = z**3 - 28*z**2 + 30*z - 72. Let n be f(27). Calculate the greatest common factor of n and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 19, 16, 1, -32, -89, -176, -299?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 39.23978305 to one decimal place.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/2 + 99363*b\/2 - 695443.\nAnswer: -(b - 99349)*(b - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5.61  (b) -26  (c) -0.2  (d) 1\/3  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 86\/376677 and 55\/334824.\nAnswer: 3013416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1\/7, -38, 0.162, 232 in increasing order.\nAnswer: -38, -3, 1\/7, 0.162, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -o**6\/21 - 6*o**5\/7 - 11*o**4\/7 + 36*o**3\/7 + 23*o**2\/7 - 78*o\/7 + 22. Find h, given that c(h) = 0.\nAnswer: -13, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -80*(7491\/37228 + (-2)\/(-41))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 6573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -n**4\/4 - n**3\/6 + 7*n**2\/2 + 3*n. Let y(p) = -4*p**2 + 8. Let u(o) = 5*b(o) - 4*y(o). Determine u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44 - 40. Let o(n) = -6*n - v - 2*n**2 - 7*n**2 - 1. Let y(t) = 19*t**2 + 13*t + 11. Give 13*o(z) + 6*y(z).\nAnswer: -3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 81*y**2 + 80*y + 352. Calculate b(80).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 62*v - 31. Let a(m) = m. Let t(o) = 31*a(o) - u(o). Let h(z) = -63*z + 62. Let l(f) = 3*h(f) - 7*t(f). Find the first derivative of l(c) wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*(sqrt(17) + -2))**2 - sqrt(17)) + sqrt(17) + (3*(sqrt(17) + sqrt(612)) - sqrt(17)))*2.\nAnswer: -88*sqrt(17) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(459)*5)\/(sqrt(147)*2 - (sqrt(15)*-2 + sqrt(15))\/sqrt(5)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -4*b**3\/7 - 3596*b**2\/7 + 3787856*b\/7 - 7561296\/7 = 0.\nAnswer: -1522, 2, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -42*b**2 + 9*b + 1. Let g(u) = 43*u**2 - 11*u - 1. Calculate 5*g(y) + 6*p(y).\nAnswer: -37*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 5 + (3 - 1 - 5)*(0 + 3 - 2) + 2 - 8 + 4)*(w**2 - 3*w**2 - w**2).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 42*i**2 + 50*i - 304. Let r be s(43). Let a(y) = 6*y + 2. Let l(b) = 18*b + 6. Calculate r*l(m) + 10*a(m).\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c - 3. Let l be f(-5). Let n = 6 + l. Suppose -k = k - n. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -5 - 438177*m + 38 + 438174*m + 28. What is n(9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 4*d**3 + 6*d**2 - 6*d + 6. Let s(a) = -5*a**3 - 7*a**2 + 7*a - 7. Let v(q) = -q**3 + 11*q**2 + q - 5. Let p be v(11). Determine p*s(g) + 7*z(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3859 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2156564327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 160, 172, 198, 244, 316?\n\"Answer: w**3 + w**2 + 2*w + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**2 - 4*b**2 + 1 - 3.\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4b + -51?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*l**4 - l**2 - 140*l wrt l.\nAnswer: -264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.102687 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -171 divided by 15?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**5 + 0*h**5 - h**5 + (h - 412*h + 77*h)*(2*h**4 + 0*h**4 + 0*h**4))*(-5 + 3 + 0).\nAnswer: 1342*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(3 + -2)*-1. Suppose 4*r - 119 = -m*r. Suppose -r = 2*g - 53. Calculate the remainder when 51 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4*95\/10)\/(-1 + 3). Let z(k) = -9*k + 176. Let o be z(s). Put 2, o, 3, -4 in ascending order.\nAnswer: -4, 2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1320760 and 7832.\nAnswer: 14528360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11760203.\nAnswer: 7, 13, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (92\/5)\/(-23)*170\/4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 5*f + 92190, 1301*t = 1300*t - 2*f + 30763. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/10)\/(3*5\/(-75))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -862600 + -25?\nAnswer: -862625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5588 - -39358\/7. Let o = 35 - l. Which is the closest to 1\/4?  (a) 5  (b) 0  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.17, -1\/4, -45 in ascending order.\nAnswer: -45, -1\/4, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 708*o + 8343. Give a(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -17 + -1 - (-17 - (-11 + (6 - 4)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z - 7. Let w be q(6). Suppose -s = w*l - 3*s - 60, -3*s = -4*l + 55. What is the second derivative of -l*d**5 - 2*d - 10*d + 4*d wrt d?\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-42)\/9 + -1 + 10\/6. Let p be 3*(10\/12 - (-2)\/m). Solve -4*u - p = -5*l - 2, -u + 5*l = 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 10 + 18*n + n**2 - 7*n**2 - 35*n. Let p be s(8). Solve p = c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-18)\/4)\/(1\/(-2)). Let s = -7 - -10. Suppose -5*p = 2*y - 35, 5*p - 3 = s*p - 3*y. What is the highest common divisor of r and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2594123 to the power of 1\/2, to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2904?  (a) -6  (b) 0.4  (c) 76  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11028.\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seventy-nine halves of a day?\nAnswer: 56880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3801156?\nAnswer: 2, 3, 173, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -3. Suppose u - 36 = -n*u. Suppose 3*y - 73 = -2*a, -y + 5*a + u = y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - 7\/1)\/(-1). Let c = -3 + g. Suppose -c*m + 8 = 4. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-555)\/(-74) - (-6)\/(-4) - -3. Solve 35 = 2*r - u*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31098651*a**2 + 20*a + 192586.\nAnswer: -62197302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.19 - 0.05. Let u = 7.16 - 6.6. Let i = u + m. What is i rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/667  (b) 2\/3  (c) -12  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -27646?\nAnswer: -5\/27646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/1921486 and -85\/4242?\nAnswer: 582210258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -125718, -502860, -1131424, -2011410?\n\"Answer: -125711*t**2 - 9*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + -22)*10\/(-15). What is the greatest common factor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -208.2 - -208. Put f, -0.4, -0.02 in decreasing order.\nAnswer: -0.02, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 k, and 1 i when four letters picked without replacement from iiddkohhkbdidhh?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + (-27 + -20 - -17) - -6?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 95655046 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -53, -5, 5, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2*g + 291. Suppose 5*t - g = 129. Suppose k - t = -2. Round k to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*sqrt(88) + (sqrt(88) - (sqrt(88)*-2 - sqrt(88)))*3 + sqrt(88))\/((sqrt(128) + sqrt(8))*-2 + (-4*sqrt(200) - sqrt(8))).\nAnswer: -5*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pepeepp. Give prob of sequence epp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 - -4.1. Let a = 32284 + -32281. What is the closest to -1 in v, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {z: 3, k: 1, r: 1, d: 1, g: 3, p: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 103, 239, 387, 529, 647, 723, 739?\n\"Answer: -3*s**3 + 24*s**2 + 85*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10*(-18)\/252)\/((-570)\/266).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -5. Suppose -3*k - 16 = -19. Let t = 3 - k. Is t at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 8*x**2 + 5*x - 4. Let r be y(-7). Let w = -16 + 12. Which is the nearest to -1?  (a) -0.3  (b) w  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12529 and 18887?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -11. Suppose p = 7*w - 6 - 22. Suppose 0 = -w*o + 40 + 24. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -635383897*g**3 + 3851477*g**2 - 33*g wrt g?\nAnswer: -3812303382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92\/3 - 43. Find the common denominator of r and (38*(-3)\/48)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5713416.2 to the nearest ten thousand.\nAnswer: 5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 77888 or 77923?\nAnswer: 77923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 12, -5, 4.\nAnswer: -5, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 + 40. Let b be (-12)\/w*15\/10*7. Calculate the remainder when 19 is divided by 4\/(-14) - (-158)\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.9, 233, 0.4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1008 - -1009. Which is the biggest value?  (a) -3\/5  (b) -0.35  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(5*(0 + sqrt(242)) - (2 + sqrt(242) + 1 - sqrt(242))))**2.\nAnswer: -330*sqrt(2) + 6059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-10))\/((-5)\/25). Suppose -2*k - 112 = -4*u + 2*k, -2*k = 2. Calculate the remainder when u is divided by 3 - 22\/(1 - t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 5\/3)\/(6\/(-99)). Let x = p + 16. Suppose 0 = 32*j - x*j - 300. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8935878167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/13?  (a) -0.14  (b) -0.2  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 226*w + 1204*w + 156*w**2 + 33*w**2.\nAnswer: 189*w**2 + 1430*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.554 + 816.446. Which is smaller: b or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 704 and 880.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -290, -289, -288, -287?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cvcz when four letters picked without replacement from {v: 1, z: 2, c: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkkf when four letters picked without replacement from {v: 3, k: 2, f: 6, h: 3, o: 3}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3193, 25455, 85807, 203269, 396861, 685603?\n\"Answer: 3170*y**3 + 25*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 843537 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 104954749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*x**2 + 14*x**2 + 3*x**2 - 9*x**2 as c + k*x + u*x**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*k - 3474 + 229 = 0. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - y = 3, 4*y + 11 = 3*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -400956.7 to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1503 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(416) + sqrt(416)*-2 + sqrt(416) - sqrt(416)) + sqrt(416)))\/sqrt(8)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7010 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 16*f - 109. Suppose 5*d = 2*u - 22 - 10, 2 = -u - 2*d. What is l(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l = 8*l - 1230 + 312. Is 57 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 725700940.\nAnswer: 2, 5, 71, 511057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10750573, 10750569, 10750547, 10750501, 10750425, 10750313, 10750159?\nAnswer: 10749957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m + 6. Let q be j(6). Solve 0 = -q*p + 3*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*j**2 - 150*j + 47*j + 13*j**2 + 54*j + 49*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, b: 2, s: 3}. What is prob of sequence esb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence voo when three letters picked without replacement from vovvvovvvvvvv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 14, 2, 0 in descending order.\nAnswer: 14, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 17916931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 25*b - 39 - 127. Let f(u) be the third derivative of 0 - 1\/3*u**3 + u**2 + 0*u + 1\/24*u**4. Determine f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13920770 - -591935.\nAnswer: -13328835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 41161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 1)\/((-27)\/6 - 3). Which is the fourth biggest value?  (a) 0.2  (b) 3  (c) -1  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.121, -2884.7, -4?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 317*b**3*g*l**3 + 23351*b**3*g - 13*b**2*g*l**3 + 2*b**2*l + 2*b*g*l**3 + 8*b*l**3 - 38*b*l**2 - 28*g wrt b?\nAnswer: 1902*g*l**3 + 140106*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 20\/19, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/1368730 and -241\/16246230.\nAnswer: 373663290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/44)\/((-244)\/(-5368))*71\/(-1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -61833266*p**6*s**2 - 14*p**2 + 5*p - 462*s**2 + 4*s - 2 wrt p.\nAnswer: -7419991920*p**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of m**5\/20 - 5*m**4\/6 - m**3\/3 - 2*m**2 + 3*m + 22. What is the tens digit of p(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17501 divided by -43?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 5*w + s - 537, -5*s = -3*w + 339. Let p(u) = 3245*u + 149317. Calculate the remainder when w is divided by p(-46).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - o - 22 = 0, y + 0*y = o + 7. Solve -z - y = -2*c - 2*z, -5*c - 3*z + 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1425 - 1429. Sort 2, -1, i, -5.\nAnswer: -5, i, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 621269095.\nAnswer: 621269094.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 7\/(280\/(-185)))\/(-3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 24 = -4*d, -3*x + 0*x - 5*d + 32 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*t**2 - 34*t**2 - 35*t**2 - 41*t**2 - 33*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 42 - 68. Let l = x - 15. Calculate the remainder when ((-4)\/2)\/(3\/(-18)) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -765 equal to -802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10983 + 1321*l + 32954 - 10987 - 10984.\nAnswer: 1321*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*h + 22*h - 3*h - 2*h**2 - 3*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63240, 63268, 63296, 63324, 63352, 63380?\nAnswer: 63408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vevvvvve. What is prob of picking 3 v?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nmnnnnmmnn. What is prob of sequence mmnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 0. Let i be (0 - (3 + -1))*-2. Let s(o) = -o**3 - 4*o**2 + 7*o + 6. Let l be s(-5). Which is the closest to q?  (a) i  (b) l  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 15. Suppose -k*n = -6*n - 2*w - 1736, -4*n = 3*w - 1375. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 78632 + -4843. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 6*k - 4. Let n be d(-7). Solve y = n*u + 11, -4*u + 0*y - 18 = -3*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -5*p + 4 + 9, 5*c = p + 13. Let h be 12\/18*c\/41. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/3 - 12*t - 64\/3.\nAnswer: -2*(t + 2)*(t + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 36.23805g?\nAnswer: 36238050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30775 - 2779.\nAnswer: -33554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8809 is divided by (267\/(-6))\/(-1 - -7 - (-572)\/(-88))?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*f - 46, 3 = 5*r + 13. Suppose 0 = -f*m + 6*m + 25. Solve 3*n = -m*c - 4, -4*n + 6*n + 7 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3*(1*sqrt(17)*2 - sqrt(17) - sqrt(17)) - 1*sqrt(17)*2*-4).\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 11886.6 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n + 54 = -16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1919 = -18*w + 1613 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/20)\/((-2)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1770072503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/58950 and 127\/462?\nAnswer: 4539150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -786, -1579, -2372, -3165?\nAnswer: -3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1249 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/2*11\/(-55). Solve -6 + l = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*98.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 3:26 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 - -16. Let o = c + 10. Let t = 6.00019 + o. What is t rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3762.542 years?\nAnswer: 376.2542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(-2 + 2 - 0). Suppose 3*k + 0*k = t. Suppose -3*z + 0*z + 15 = 3*a, -a = 3*z - 19. Solve k = -5*x - z - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*v - 23*v + 29. Let u = -28 - v. Is u at most as big as 9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 753303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 4:13 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffyyfmccmffcy. What is prob of sequence mmf?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 3:44 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of 0 - 9\/2*j**2 + 4*j - 1\/2*j**3 + 5\/12*j**4 - 1\/20*j**5. Factor v(m).\nAnswer: -(m - 3)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26453 is divided by 199?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -643 + 640 - (0 + (-1 - 20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*t + 203167 - 75164, t + 4*j = 64012. Suppose 0*n + t = -n. Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1889  (b) 6\/7  (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o**3 + 2*o**2 - o - 1. Let j be b(-1). Suppose 4*v**j + v**3 + 280*v - 5*v**3 - 20*v**2 - 292*v = 0. Calculate v.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 798440.4 meters?\nAnswer: 79844040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 o when four letters picked without replacement from {o: 1, d: 1, f: 1, w: 3, c: 6}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 716195*y**2 + 1640705*y?\nAnswer: 1432390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from mmmeamzemmmemeaeem.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 374.6 - 39.6. Let c = 335.00302 - h. What is c rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59395 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 1 = -b - 0*b, y + 5*b = 23. Suppose 2*v = 4*i + 25 + 7, -9 = -y*i. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -3*v, -232*w - 30 = -229*w - v + 5*v - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/24 - (-5)\/((-45)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1333 is divided by 153.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2941465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 16398 = 3*p, -82014 = -5*d + 22*p - 19*p. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 - 6*p**2 + 4*p - 5. Let y be o(-7). Let s = -18 + y. Let h(t) = 3*t + 2. Determine h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of q**5\/20 + 7*q**4\/12 + 7*q**3\/6 + 2*q**2 - 4*q. What is the tens digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7294 + -7112. Calculate the remainder when 1634 is divided by j.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -36*q**3 - q**2 - q - 1. Suppose 4*n - 6*a = -a - 4, 4*n + a = -4. Let g be i(n). Suppose k + j = -5 + 2, 5*k - g = 5*j. Solve -y = -k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 176. Let j be u(0). Let h be ((-104)\/(-65))\/((-2)\/(-20)). Calculate the greatest common divisor of h and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3703769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (390\/(-520))\/(2\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*l = -j + 48, 3*j = -5*l + 91. Calculate the remainder when 79 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/111  (b) -2\/13  (c) -1396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 - -27. Suppose -3*o + 150 = -5*p + 2*o, o - 57 = 2*p. Let t = -30 - p. Which is the second biggest value?  (a) 1\/3  (b) h  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22 + 29. What is the smallest common multiple of i and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddpd when four letters picked without replacement from xpdxxxpxxxdxxxddxdd.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 7*h**2 + 7*h - 9. Let x be o(6). Let w = x - -7. Suppose -w*r - 3*a + 19 = -0, -2*a = -3*r + 27. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2062339, -2062340, -2062341, -2062342, -2062343?\nAnswer: -2062344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227, -1805, -6085, -14417, -28151, -48637, -77225, -115265?\nAnswer: -164107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 2:05 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*18450669.\nAnswer: -73802676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d52b (base 14) to base 4.\nAnswer: -20331103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 3 + -6 - (-4 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -2*t + 28 - 11, -5*p - 2*t = 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -661317810 minus -0.03?\nAnswer: -661317809.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5*50\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96515 and 970.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31421 is divided by 469?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 663647136 a multiple of 1756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.1223652 decades?\nAnswer: 14.683824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44)\/22*(1001\/14)\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 8080151?\nAnswer: 5\/8080151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 0*h**2 - 3 - 3*h - 2*h - h**2. Let g be (0\/2)\/(7 - 3). Let j be (-12)\/(-2)*(4 + g - 5). Calculate q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-2 - -13 - (-5 - (-37 - -10)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 165*n + 25240. Determine i(-152).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -7. Solve -r*b = -2*w - 10, -b - 3 = 5*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*x - 44 = -52*x. Suppose 3*j + 2*j - 220 = 0. Suppose -x = -w + j. What is the remainder when w is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2\/13)*r\/r**(-12) assuming r is positive.\nAnswer: r**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o = 2*o - 98*b + 97*b + 20, 360 = 5*o + 18*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - m + 9. Suppose -8803 = -6*c + 935. Is (2 - 15\/m)*1*c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3525241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2885097*p**2 + 464000*p.\nAnswer: -5770194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10519 = 70*u - 3*u. Let c(b) = -41*b - 1. Let p be c(1). Let m = p - u. What are the prime factors of m?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37699\/12 + -3139. Let u = 5764598\/253 - 22785. Let o = u + 5333\/9867. Calculate the common denominator of z and o.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*u = -13, v - u - u = 7. Let y = v - -7. Suppose 437 = 3*n + z, -2*z = y*n - 7*z - 551. Is 48 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -14\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/(-60)*(-3)\/2. Sort -1\/7, 1\/5, j in descending order.\nAnswer: j, 1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - -11 - (3 + 1). Suppose -1 = -i*d + 11. Solve 5*u = d*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -798182*y**4 - 1845253*y?\nAnswer: -9578184*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -196*c**2 + 5*c + 2. Let r(s) = -4*s + 41. Determine j(r(v)).\nAnswer: -3136*v**2 + 64268*v - 329269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -647471, -1294944, -1942417, -2589890, -3237363?\nAnswer: -3884836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14706)\/(-39) - 1\/13. Which is bigger: 381 or k?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 - 2 + (-4 + 2 + 1)*(2 - 2 + 1) - 1 + 4 - 5)*(-2 + y + 2)*(-y**4 + 3*y**2 - 3*y**2).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4122 = 2*i + f + f, i - 4*f = -2081. Let x(u) = -404*u**2 + 6*u + 3. Let s be x(3). Let g = s - i. Round g to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28615 * -0.3\nAnswer: 8584.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d**3 + 931716*d**2 + 4658384*d - 22360704 = 0. What is d?\nAnswer: -232924, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(11) - (sqrt(11) + 3)*-4))**2 - (4 + (sqrt(11) - sqrt(66)\/sqrt(6)))**2*6.\nAnswer: 404 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 5:41 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 d when four letters picked without replacement from iddddidciiiciccfcdc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 3*c**2 + 1317*c - 580. Determine h(-35).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s\/s**(1\/10)*s)\/(s*s**(1\/2))*s\/(s**(-17)\/s*s)*s**(-8))**(-2\/105) assuming s is positive.\nAnswer: s**(-124\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 13845.\nAnswer: 27690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -688, -695, -710, -733, -764?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/2))**34\/(y**(-4\/5)\/y*y\/y**(-1\/7)))\/((y\/(((y*(y*y*y**(-5))\/y)\/y)\/y))\/(y**(-2\/3)\/y)*y**5*y*(y\/y**(5\/3))\/y) assuming y is positive.\nAnswer: y**(198\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 9. Let a be (((-210)\/l)\/3)\/(1\/(-36)). Suppose 88 = -4*v + 3*s + a, -2*v + 2*s + 114 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gmgg when four letters picked without replacement from {m: 7, g: 4, f: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/11 and -7\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 93 + -25. Let c be 9\/(-54)*-18 + 60. Let x = c - w. What is the second biggest value in -2, x, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x - 8. Let d be v(-9). Suppose k = -u + 6, 2*u + d = k + 10. Solve -3 = b - y, u*b - 3*y + 3 = -y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.089752 * 3\nAnswer: 0.269256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 39. Let h be a\/(-7) - (-2)\/7. Suppose -h*w + 1180 = 2*v, -w - w - 2931 = -5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of 1293*n**5 + 345*n**2 - 3846. What is the second derivative of m(a) wrt a?\nAnswer: 77580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 420 + -289. Let p = 8 + f. Suppose -3*b + 82 = -l, -8*l - p = -5*b - 4*l. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/3 + (-10)\/30. Suppose 0*o + o + 4*o = s. Solve -3*w + w + 10 = o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 3*k - 5 = 4*l, k = 5*l + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-15\/7)*((i*i\/(i**(1\/16)\/i))\/i)\/i*((i**8\/i)\/i)**39 assuming i is positive.\nAnswer: i**(26073\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from bbbbfbbbbtbbufbujb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 7814618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43731340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -89.46 + -2.54. Let s = l - -91.9999898. What is s rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*q - 22 + 8, 0 = -3*c - 5*q - 14. Let s(x) = -x**3 + 3*x**2 - 3*x + 1. Calculate s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + u = -6. Let n(c) = -c**3 - 145*c**2. Let y be n(-145). Suppose -4*j - u*f = -1481, y*j - 3*f = 3*j - 1110. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56651080 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(-2\/43)*u))\/(u*u**(-5\/7)*u) assuming u is positive.\nAnswer: u**(-373\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7216\/1481 + 257304435\/23696. Let a = q + -10849. What is the common denominator of a and -69\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -50*(-32)\/443200*2.\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 580866534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 57323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4989, -5000, -5031, -5088, -5177?\n\"Answer: -w**3 - 4*w**2 + 8*w - 4992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25088 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -397.\nAnswer: -396.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 94*d**3 - 94*d**3 - 34*d**4 + (-1 - 1 + 3)*(-3*d**4 + d**4 + d**4) - 2*d**4 - 2*d**4 + 8*d**4.\nAnswer: -31*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1528 and 5804.\nAnswer: -886.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.6 in 5, 1\/3, -0.0512, 2?\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2496306*x + 6. Calculate a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -71 + 74. Calculate the highest common factor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c + 9. Let s be h(0). Suppose 5*r - 3*m - 1 = 0, 3 = 4*m - s. Let v(d) = 0*d**2 - 3*d**r + 0*d**2. Let t(x) = -2*x**2. Calculate t(v(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -q**5\/120 - 3*q**4\/16 + 11*q**3\/6 - 32*q**2 - 3. Factor n(w).\nAnswer: -(w - 2)*(w + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 6*i - 295 = 7*i, -7*x = 2*i + 2035. Let f(g) = -1105*g**2 - 289*g + 289. Let h(w) = 23*w**2 + 6*w - 6. What is x*h(z) - 6*f(z)?\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*-1*-2*(-3)\/(-24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1410 + -10?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = -5*p + 29. Let k be (-25)\/(-10)*(1 - p). Let s = -33 + k. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 161 + 67 + 8*m**3 + 63*m**2 - 142*m**2 + 73*m**2 + 31*m**3 wrt m.\nAnswer: 117*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 118 - 67. Let t be (1 - -1)*(-21)\/3. Let y = h + t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*s**2 - 28741079*s + 770431213.\nAnswer: 8*s - 28741079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/32 and -131\/1540.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttuutt. Give prob of sequence ut.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 56  (b) -1  (c) 8\/7  (d) -9\/2  (e) -115  (f) -2\/11  (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 1147*p - 52 = 1159*p, 5*d - 2*p = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4 - 24*j**3.\nAnswer: j**3*(j - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3257?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 13 = -5*z, -3*z + 3 = -0. Let f be (-4)\/60 - h\/(-10). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23.28 + -3573576.\nAnswer: -3573599.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 5593776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1980\/(69 + -114))\/(-5).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/6 - 1\/(-2). Let g(w) = w**2 + w + 1. Let f(l) = -4*l**2 - 2*l - 1. Let p(m) = s*f(m) - 2*g(m). Differentiate p(j) with respect to j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (26\/10 - 1)*140 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 + 31 + -19 + -76.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (((-20)\/(-12))\/(-5))\/(8\/4350). Let s = o - -181. Sort -0.4, -1\/10, s.\nAnswer: -0.4, s, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*r = -1395. What is the greatest common divisor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-75)\/11 - (-54)\/(-297). Let n be (-171)\/(-63) - 2\/r. Let y be (280 - (-2 + n\/3)) + -2. What is the highest common factor of y and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 120 - 102. Suppose 39*p - 33*p + j = 0. Sort -5, 10, p in increasing order.\nAnswer: -5, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67504*u**3 - 5497 + 5497.\nAnswer: -67504*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of b**2\/2 - b + 28. Give p(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 9*u - 13*u + 6 = 0, 0 = 5*u - 10. Let h(a) = 2*a**3 + 3*a**2 - 1. What is h(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzuzzuuzzfuzzzo. What is prob of sequence zfzu?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - 11. Let y = -1.3 + q. Suppose 3*w + 3 - 9 = -3*j, -2*w + 5 = 3*j. Which is the second biggest value?  (a) w  (b) 0.02  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/54)\/(73\/(-146)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - y**2 - 1)*(1 - 3 + 3) - 51*y**2 + 118*y**2 - 51*y**2)*(-1320*y + 2930*y - 4 - 1268*y) to l*y**3 + q*y**2 + m + r*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -242 + 241.9404. Let v = -0.0353 - a. Round v to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -793 - -871.6. Let n = o - 79. Suppose 6*r - 2*r = -8. What is the closest to r in 1\/5, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 3264 = -4*b. Suppose 111 = -5*o + b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 143 + 471 = 4*u, 0 = -u + 2*m + 146. Let s(r) = -4*r + 149 + u - 313. What is s(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 8 = 13*t - 11*t, -6 = 3*q + 2*t. Let h be 1 + (-36)\/10 - 15\/(-5). What is the smallest value in -1, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*y**3 - 7*y**3 + 26*y**3)*(12*y - 19*y + 10*y + 2).\nAnswer: 117*y**4 + 78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/126 - (-6)\/27. Let d = -0.07 - 2.93. Let a = 0.2 - -0.1. What is the closest to -1 in d, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 790909 is divided by 172.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(2\/((-3)\/((-12)\/(-8))))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of 0 + 0*z - 1\/60*z**5 + 3*z**2 + 0*z**4 + 1\/2*z**3. Differentiate c(n) with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - f = 296, 0 = 4*v - 9*v + f + 737. Calculate the remainder when v is divided by -4 + 6 + (22 - (-2 + 1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**3\/3 + 32*l**2\/3 - 89*l + 78 = 0.\nAnswer: -39, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 270*m - 102*m + 2*m**2 - 79*m - 89*m. Let d(x) be the second derivative of -10\/3*x**3 + 0 + 0*x**2 - 3*x. Determine d(r(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2443 + 2467. What is the remainder when 185 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w**2 - 4*w**2 + 2*w - 2*w. Let a(g) = -4*g. Give d(a(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -11177 divided by 76\nAnswer: -11177\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 402125609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 987 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5394, -5393, -5388, -5379, -5366, -5349?\n\"Answer: 2*u**2 - 5*u - 5391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) 1  (c) -35  (d) -469\/27  (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 273795 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 d, and 1 x when three letters picked without replacement from {u: 2, x: 1, d: 4, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 - 8*x**2. Let c be j(-8). Suppose -z + 2*z - 14 = c. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 115 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, i: 1, o: 2, z: 1, v: 1, l: 4}. What is prob of picking 1 g and 1 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88360759.\nAnswer: 101, 874859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 11:08 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -525*g - 523*g - 384*g + 2453*g - 519*g - 500*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -617 - -966. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of 0*d + 0 - d**3 - 142*d**2 - 1\/24*d**4. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times 0.1?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*(q\/(q**2*q))\/q))**(1\/23)*(q*(q\/(q**(-3)\/q))\/q*q*q)\/(q*q**(-2\/25)*q))**(-41) assuming q is positive.\nAnswer: q**(-122836\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -476880 (base 13) to base 15.\nAnswer: -23895c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -8 - 13. Let o = -17 + v. What is the second derivative of 0*p - 5*p - 16*p + o*p + 17*p**2 wrt p?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-15) - 25\/3. Which is smaller: m or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 227 + -24. Suppose 4*g - 15*g = -1573. Let p = r - g. Calculate the highest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3391197 - 3391197 - 23*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334660081?\nAnswer: 7, 41, 103, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-5))\/(((-704)\/66)\/16)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -131700799*v**3 + 277166145*v**2 wrt v?\nAnswer: -790204794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + 4)*6\/2. List the prime factors of ((-6)\/4)\/((-2535)\/(-850) - b).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 7.95. Let o = -1.17 - g. Let a = o - 0.77999392. Round a to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/3 - -1 - (-10)\/15. Let r be (g\/(-6))\/(4\/(24\/(-117))). Let i(w) = w**2 + 10*w + 9. Let o be i(-9). Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + h**2 - 8*h + 20. What is c(6)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17470031 rounded to four decimal places?\nAnswer: -0.1747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -6695123 not equal to -6695123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l**3 - 7*l**2 - 77*l - 354. Let y be z(-5). Let j(t) = 28*t**2 + 5*t. Let u(m) = 1287*m**2 + 231*m. What is y*j(d) - 5*u(d)?\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.06 + 0.06. Let w = 3 - 2. Which is the closest to w?  (a) d  (b) 4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -19, 40 in increasing order.\nAnswer: -19, -2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -28*x. Let z(r) = 90*r**2 - 8*r - 1. Calculate z(v(n)).\nAnswer: 70560*n**2 + 224*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 35913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*t = 36, -1 = 2*i - 5*t + 2. Let y be i + -10 + 238\/(-242). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + 5 - 5)*-4. Suppose -s = 2*z - 12. Let v(n) = -3*n**4 + 12*n**2 - 3. Let g(o) = o**4 + o**2 + 1. Let h(w) = z*g(w) + v(w). Factor h(a).\nAnswer: -5*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2\/7 - 1180*i\/7 - 1184\/7.\nAnswer: 4*(i - 296)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 64121614363 - 64121614871.99999661. Let h = 1343 - 834. Let d = h + v. Round d to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(192) + -4*(sqrt(192)*-3 - sqrt(192))) - (0 + (sqrt(192) + 5 + 0 + sqrt(192))**2).\nAnswer: -793 + 656*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-6)*(-42)\/(-4). Let b = 23 + x. Calculate the remainder when 2 + 24 - (1 - 1) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/84 - (-104)\/140. Factor 0*p + 3\/5*p**3 + 0 + b*p**2.\nAnswer: 3*p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2*g + 53. Let v(a) = -55*a + 31*a + g*a. What is the tens digit of v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44 by -3948.\nAnswer: 11\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -85*c + 2626. Give h(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/18*(6 + 2). Suppose -4*v = 4*j - q, 3*v - 3 = -5*j + 2. Suppose 0 = -v*f + f + 20. Solve 0 = -f*x - 17 - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7823076 (base 10) to base 12.\nAnswer: 27532b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*a**2 + 2*a**2 + 2*a**2)*(2 + 1 - 2) + 19*a - 19*a + 7*a**2 to the form d*a**2 + l + t*a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (79\/(17538\/(-407)))\/(22\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.4 and 40221916.\nAnswer: 40221915.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 45380.9856 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5961.\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -371600000 rounded to the nearest 1000000?\nAnswer: -372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-6))\/(1\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - w + 41, 1 = 3*w + 10. Let o be (-1)\/(8\/12)*(-2)\/3. What is the greatest common factor of o and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -191, -507, -905, -1361, -1851, -2351, -2837?\n\"Answer: 4*t**3 - 65*t**2 - 149*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25 - 2a8?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*v**3 - 17*v**3 + 23*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {r: 1, x: 2, j: 1, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s + 816*s**3 - 2*s + 2*s - 99*s**3.\nAnswer: 717*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29483\/667 + -137289499\/3095547. Let u = -2\/357 + r. Let n = -133 - -929\/7. Put -1, u, n, -2 in decreasing order.\nAnswer: u, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1167*n + 14832 = 82518 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 4 + 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + 14 + (-36 - -30) + (1 - 96).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - 10*t + 2. Let l be u(-10). Suppose -18 = l*s - 5*s. What is the units digit of (27\/2)\/(3\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 0, 11, 36, 75, 128, 195, 276?\n\"Answer: 7*h**2 - 10*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 69.882 - -0.118. Let v = p - 74. Let r = 0.06 + 1.94. What is the nearest to 2 in -2\/9, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27383 and 1970.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-b - 5*b + b)*(6 + 1 + 0) in the form k + o*b and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2185 + 1301 = 5*m, 3*t = m - 720. Calculate the smallest common multiple of 234 and m.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3*f + 1185 = 0, -3*n = -3*f - 239 - 634. Calculate the remainder when n is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79143665?\nAnswer: 5, 1447, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 4*d + 5*m - 370, 3*m = 2*d - 675. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000261075 rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/6442 and 91\/1655594?\nAnswer: 1655594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 26193, 26188, 26183, 26178, 26173, 26168?\n\"Answer: -5*g + 26198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 - -27. Calculate the remainder when 53 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16130124629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4034138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v - 8. Let q be b(6). Let s be 9\/21 + 21 + 2002\/(-98). What is the highest common divisor of s and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 8*z - 1. Let k(x) = -349*x + 10. Calculate -k(f) - 4*s(f).\nAnswer: 317*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 1, 325, 31 in descending order.\nAnswer: 325, 31, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7144 or -7143?\nAnswer: -7144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (19 + (1 - -3)). What is the hundreds digit of 391 - (-5)\/(u\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4*c - 12388, -2*c + 168*y = 173*y - 6180. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6105512*q**4 - 9401521?\nAnswer: -24422048*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082564?\nAnswer: 2, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 7*j = 0. Suppose -2 = -i - j. What is the third derivative of -16*d**2 + 0*d**6 - 5*d**6 + 10*d**i wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -6*q - 5*l - 10, 3*l - 12 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1*-2*sqrt(12))\/(1*-1*sqrt(6)) + ((0 + sqrt(7200))**2 - sqrt(7200) - (-1 + sqrt(50) + 3 + sqrt(50)))).\nAnswer: -204*sqrt(2) + 21594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -2, -53, -6605 in increasing order.\nAnswer: -6605, -53, -19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*t**2 - 616052061253*t + 616052061253*t + 30*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 9*r**2 + 7*r - 27. Let q be c(-11). Suppose -1143 - q = -7*v. What is the common denominator of 71\/22 and 4\/38 - (-1545)\/v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, z: 2}. Give prob of sequence zu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 2*w = -0*w - 9 + 1, -3*r = 24*w - 67 - 29 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 39. Is n(-16) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -9*c. Let x(j) = -22*j - 1. Let m(k) = -79*k - 4. Let q(t) = -m(t) + 4*x(t). Calculate -4*f(a) + 3*q(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -176*l**2 - 515*l + 59. What is o(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*r + 326*r - 12516 = -316*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 + 402\/(-30))\/(6\/(-10)). Let p = 20 + -12. What is the highest common divisor of p and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2791 is divided by 2707.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20594\/42*(-1 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 82, 153, 260, 421, 654, 977, 1408?\n\"Answer: 3*f**3 + 50*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/1 + (-3 - -2). Suppose 514 = 3*x - i - v*i, 0 = -2*x + 4*i + 344. Let b be 1\/(-2*(-2)\/x). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 665 and 128802121.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3 = 8. Suppose 4*x - o - 3 = 0. Suppose 3*p - x*p - 3*v = 12, -p - 3*v = 6. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.5, 2\/9, 58, 1\/2, -1591.\nAnswer: -1591, -2.5, 2\/9, 1\/2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -5*t - 20, 7*o - 2*t + 15 = 12*o. Solve -4 = 2*l - f, o = -5*l + 3*f - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**3 + r**3 + 0*r**3 + r**3 - 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*b**2 - 8*b**2 + 6*b**2 + 7*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 6*p + 7. Let z = -567 + 587. Suppose 32*c - 36 = z*c. What is o(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 4*f - 5. Suppose -w + d + d + 4 = 0, 0 = -4*w + 3*d - 9. Let c be v(w). Let p = c - 7. Solve p = 3*x - 1 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/8))**11)**(3\/14) assuming j is positive.\nAnswer: j**(33\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -51002 times 0.4?\nAnswer: -20400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 + -14. Let j = -1 + o. What is the remainder when 7 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**2 + 80*r - 656. Let c be z(-47). Solve 0 = c*d - t + 7, 3*d = -0*t + 3*t - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -2 + 2)\/(3\/(-12)). Let g be (1\/4 + 0)*q. Let c(w) = -65*w**3 - w**2. Is 20 a factor of c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/17 + -9\/68. Let y = 37.1 - 37. Which is the biggest value?  (a) y  (b) -3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 861*26\/(-143) - 24\/(-44). Which is greater: o or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 30*l - 67. Let o be t(-2). What is the nearest to 58 in o, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1236 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 165614 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -41524 - 0?\nAnswer: -41524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 11*i**2 - 3*i + 5. Calculate g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 10 - (0 + 0) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -102*h**2 + 21*h + 11. Let q be i(11). Round q to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2811595 and 2920.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*u + 0 - 1 + 1.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -2, 5100283 in ascending order.\nAnswer: -2, 18, 5100283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k\/((k*k**(-2\/5)*k)\/k*k)))\/k)**(-11)*((k*(k**2*k)\/k)\/k*k)\/(k\/(k*k*k\/(k\/((k*k*(k\/(k**(7\/2)\/k))\/k)\/k)*k))) assuming k is positive.\nAnswer: k**(-161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 1)*(-3*u + 16*u + 2*u) + 387*u - 76 - 144*u + 74 to q + m*u and give m.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 64 divided by -51\nAnswer: -64\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 537015?\nAnswer: -537013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 59?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 11*t**2 + 16*t - 3. What are the prime factors of s(12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.52 + -0.5200043. What is g rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 24 = 10*i - 5*f, 2*i + 3*f - 3 = 0. Let j be (-7)\/21 + (-10)\/i. Solve j*l + b = -b + 4, 3*l - 8 = -4*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1415 - 111130?\nAnswer: -112545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70978.4*-0.3.\nAnswer: 21293.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 349458?\nAnswer: 2, 3, 58243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42818 + 36724. Which is greater: h or -6092?\nAnswer: -6092","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 418187575, 418187579, 418187585, 418187593, 418187603, 418187615, 418187629?\n\"Answer: a**2 + a + 418187573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13060736 divided by 5.\nAnswer: -13060736\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12859, 12823, 12763, 12679?\n\"Answer: -12*x**2 + 12871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 + 12202*r + 4*r**2 + 4*r**2 - 12223*r.\nAnswer: 11*r**2 - 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (-34606)\/1950 - (-6)\/(-9).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16584, -16592, -16604, -16620, -16640?\nAnswer: -16664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 10*o**2 + 14*o - 12. Let a be g(9). Calculate the greatest common factor of 891 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*v**5 - v**4 - 241*v**2 wrt v?\nAnswer: -1020*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**4 - 26638*j**3 + 177395761*j**2 = 0 for j.\nAnswer: 0, 13319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {k: 8, b: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -392 divided by 1216?\nAnswer: -49\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 5. Let g be (24\/18)\/(z\/(-9)). Does 19 divide g\/(-4)*152\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 4*g**2 + 5*g - 6. Let n(a) = -5*a**2 - 4*a + 5. Let f be -1 - 24\/(5 - 9). Determine f*n(k) + 4*i(k).\nAnswer: -9*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 2. Let p be q(2). Suppose 0 = -27*y + 25*y + 3*f + 18, y + 4*f + 2 = 0. Solve -5*g + 9 + y = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3241346 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27040534 to the nearest integer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-2) + 376\/16*-8. Let z = 185 + u. Solve -z*y - 4*y + 12 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 508*d**2*x**3 - 376*d*x**3 - d wrt d?\nAnswer: 1016*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146 + 7*a - 6*a + a**2 + 1114 + 1913 - 3*a.\nAnswer: a**2 - 2*a + 2881","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59.1 + -29.8. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**(-3)*k*k)**39)**(2\/13)\/((k**6\/k**(3\/11))\/((k*(k**2\/k)\/k*k)\/(k**(1\/2)*k))) assuming k is positive.\nAnswer: k**(17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 623 divide 226664889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0 + 2 + 3)*(5 - 3 - 4).\nAnswer: 4*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*r + 8*r + 348 = -71*h + 74*h, -2*h + 84 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -114 - -192. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 5:13 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w + w - 4*w + 2*w**2 + (-19*w + 35*w + 4*w)*(-2 - w + 2))*(-1 + 4 - 2).\nAnswer: -18*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 636\/(-51) - 18432\/(-1536)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 30 = -5*l, -2*l = -k - 8 - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1234 (base 5) in base 8?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -44.8, 0, -1.305031?\nAnswer: -1.305031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 835924283 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from uuukllsbluns?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 0. Let h = -1 - 0. Let t be g*-3*h\/9. Solve 0 = 2*z + t + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -10.9. Is -71 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 7*s - 12. Let x be m(2). Calculate the highest common divisor of x and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4188007657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-3 - 1 - (3 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1260 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.2 - 4.6. What is the closest to 0.2 in z, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, a: 1, m: 1, e: 2}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 483993318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.27 - -0.27. Let h = 18.000084 + l. What is h rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-104)\/(-120)*43\/(602\/42)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8459658?\nAnswer: 2, 3, 263, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mdammdmmmammgaarmm. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56, 193, 414, 719?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4560 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-3\/2))\/(l*l**4*l))\/(l**(-1\/4)*l)**(4\/11) assuming l is positive.\nAnswer: l**(-83\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-6) - (-16)\/24. What is the greatest common divisor of 5 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1391.68 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -3*w**2\/2 - 39*w\/2 + 21 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p + 1. Let g = 25 - 26. Let s be a(g). What is the first derivative of -88 - j**s + 85 - j**4 wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z*z*z**6*z*z\/z**(-4\/9)*z**(-2\/3)*(((z\/(z\/((z**(1\/2)\/z)\/z)))\/z)\/z)\/z assuming z is positive.\nAnswer: z**(113\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1055 + -893. Solve u = 32*a + 34 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 6*r**2 - 7*r + 4. Let x be v(4). What is the remainder when ((-2)\/4)\/(x\/(-2192)) is divided by -3 + 1 + -1 + (2 - -36)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -16, -23, -44, -85, -152, -251?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4 + (-78)\/18 + (-1730)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -254545597, -254545595, -254545593, -254545591, -254545589?\n\"Answer: 2*y - 254545599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -207093 - -1242559\/6. Let s = 46\/15 - 12\/5. Factor -c - v**2 - 1\/6*v**4 - 2\/3*v**3 - s*v.\nAnswer: -(v + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121 - (-24 + 4 - (1 + -2)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 2 - -3)\/(3\/6). Let v(x) = 13*x + 13. Let h be v(n). Let j = -82 + h. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-136)\/34)\/((-17)\/(68\/120))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1950 and 3900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 523513 (base 6) to base 8.\nAnswer: 122505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 10:00 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 3*n - 2*s, -2*n - s + 2 = -3. Let b = 41916.4 + -41916.39. Sort b, n, -0.3 in decreasing order.\nAnswer: n, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 15*x. Let r be d(-1). Let y = 45 - r. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5434 = 15*h - 22*h - 2*n, 0 = 4*h - n - 3118. Calculate the remainder when h is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (36\/63)\/(4\/14). Let n be ((-2034)\/2373)\/(15\/(-7)). Solve 1\/5*g**3 + 1\/5*g - n*g**h + 0 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 825666849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 11:22 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 430*v + 2773. What is o(-6)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 31 - 29. Let a(t) = -t**3 - 12*t**2 + t + 12. Let u be a(l). Solve m = 4*n - 12, u = -2*m - n + 3*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31*g**3 - 19*g**3 + 29*g**3 + (0 + 3 - 2)*(0*g**3 - 5*g**3 + 4*g**3)*(3 - 3 - 4).\nAnswer: 45*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -38.329*979\nAnswer: -37524.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h, -3*h + 7*h - 339 = -o. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 1. Let u(r) = -r**2 + 1. Let k(p) = -5*a(p) - 5*u(p). Let q(c) = -2*c**2 + 1 - 1. Give q(k(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 3*y + 1. Let g(q) = q**2. Let d(h) = -5*g(h) - o(h). Let z(l) = -2*l**2 + 25*l + 9. Let p be z(13). Determine d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 725 and 1943?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*o + 4*j - 108, j = -4. What is the highest common factor of o and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16 or 1.9045?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 11*h + 114, -7*h - 343 - 2 = 4*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 148 = -844. Let g(y) = -y**3 - 4*y**2 + 8*y - 10. Let l be g(4). Let v = t + l. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -2*y. Suppose y*a - 5 = -a. Suppose -41 = -a*s + 3*j, -2 = 2*j - j. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**15*b*b**(-1\/11) assuming b is positive.\nAnswer: b**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 384*f*g**3 + 2*f*g**2 + 4067*f*g wrt g?\nAnswer: 2304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 82 + -77. Suppose -3*s + 4 - 1 = 0, 2*q = g*s - 5. Suppose 2*c + 5*c - 651 = q. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 84 - 81. Let q be ((-150)\/(-4))\/r*(3 + 1). What are the prime factors of (99\/117 - 4\/(-26)) + q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -710*y**3 + 2*y**2 + 6. What is the tens digit of x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {p: 6, n: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - 15. Let w(z) = -z**2 - 34*z + 261. Let o be w(-41). Is d greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3.667, -0.4, 1057, -2?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 3310?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 2 in descending order.\nAnswer: 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 155 - -58. Let m = y - 211. Which is the second biggest value?  (a) 1  (b) -3  (c) 0  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5460, 10900, 16292, 21612, 26836, 31940, 36900?\nAnswer: 41692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 24*r - 1. Let j be d(1). Is 23 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.454112 kilograms in nanograms?\nAnswer: 454112000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -993, -42, -3\/2, 0.23 in descending order.\nAnswer: 0.23, -3\/2, -42, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -0.4, -2\/15, 5, -4.661 in decreasing order.\nAnswer: 5, 3, 1, -2\/15, -0.4, -4.661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of 13*i**9\/126 + 481*i**5\/12 + 731*i**2. What is the third derivative of y(w) wrt w?\nAnswer: 6240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.01, -111 in decreasing order.\nAnswer: 0.4, 0.01, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c - 10. Let a be i(-5). Let g(n) = -7*n + 5 + 3*n**2 - 20 - 6*n**3 + 7*n**3 + 9. What is g(a)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**6*s\/(s*(s\/s**(-4))\/s*s*s)*(s\/(s\/((s**(3\/2)*s*s)\/s)))\/(((s\/((s**(-2\/17)*s)\/s))\/s)\/s*s) assuming s is positive.\nAnswer: s**(81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = u + 9, -4*u = -124977*s + 124973*s + 100 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.43 or -557?\nAnswer: -557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**6\/120 - v**5\/10 - v**4\/8 + v**3\/3 + 7*v**2\/8 + 9*v - 1. Factor d(u).\nAnswer: -(u - 1)*(u + 1)**2*(u + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 15*j**2 + 15*j + 21. Suppose -8*n = 21 - 141. Let k be c(n). What is the derivative of 9 - 246*b + k*b + 8*b**2 wrt b?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*m + 9 = -9, 3*k - 22 = 4*m. Let o(r) = 4*r + 12. Let d(j) = 15*j + 38. Let l(q) = -d(q) + 3*o(q). Give l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -4*r**2 + 244*r - 1314. Let y be q(55). Solve y + 43 = 7*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -6*f**6 + 43*f**3 - 458. Find the third derivative of t(x) wrt x.\nAnswer: -2160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 + 17*s + 30. What is the smallest common multiple of v(-21) and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2053, 1, 0, -6 in ascending order.\nAnswer: -6, 0, 1, 2053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7154*u**5 - 2*u**3 - 57*u**2 - 276*u wrt u.\nAnswer: 429240*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-15)*1 + 1?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34711969, 69423946, 104135923, 138847900, 173559877?\nAnswer: 208271854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 + 18 + 17)*((-3 + 2 + 3)*(3 + 3 - 7) + 14 + 7 - 13)*(-15 + 4*k**2 + 15) to y + p*k**2 + f*k and give p.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**5\/20 + v**4\/6 - v. Find the third derivative of s(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73557 is divided by 4597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + -99 - (-3*4)\/4. Let n = s + 128. Suppose v - f = -2*f + n, 0 = 5*v + 2*f - 168. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 11*t - 128 + 600 = 0, -u - 4*u + t = 2*t + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15653694 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 692935 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: Calculate the highest common divisor of 4865 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**4 - x**3 - 8*x**2 - x + 1. Let p(i) = -1062*i**4 - 2*i**3 - 16*i**2 - 2*i + 2087. Let c(r) = -p(r) + 2*v(r). Differentiate c(n) wrt n.\nAnswer: 4240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -19*a**3 - 3*a + 8*a**3 - 2*a**2 + 10*a**3 - 3*a**2 - 11. Let h be k(-5). Suppose -h*y + 20 = 12. Solve 2*i + y + 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2 + 3*h + 1 + 4. Let k be a(3). Suppose 0*l - 4*l + 4*q = -k, 2*l = 4*q. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*n**2*y - 4*n**2 - 13*n*y + 14*n wrt n?\nAnswer: -44*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 888\/32*2\/6. Let s = g + -399\/44. Which is the second smallest value?  (a) -3  (b) s  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -33, -5.\nAnswer: -33, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 139451, 139401, 139321, 139211?\n\"Answer: -15*v**2 - 5*v + 139471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of b**4 + b**2 + 2. Let a(g) = -3*g**3 - g. What is 3*a(i) + 2*f(i)?\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55 + 81. Let v = -140 + 113.15. Let s = z + v. What is s rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 76 * 896.\nAnswer: 68096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144288 and 32064?\nAnswer: 288576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 74.06 + -71.6. Let w = -2.06 + h. Suppose 5*q - 2 = 13. Which is the second smallest value?  (a) q  (b) w  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*n**3 + 1197715 - 1197717 + 2*n - 2*n - 31*n**3.\nAnswer: -65*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k - 4*k = -2*v + 46 - 24, -k - 8*v = 31 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 146 - 68. Suppose -42 - n = -4*l. Suppose 2*j - l = -0*j. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 173845722 to the nearest integer?\nAnswer: 13185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1222.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 367045 and 138110?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 8 + 7. Let j be (-13)\/n + 2\/5. Suppose 0 = 4*o - l - 24, j*o - l = -5*l - 1. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - q. Let g be l(0). Let v(h) = h**2 - h + 19. Suppose 9*m = 4*m + 25. What is the remainder when v(g) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 4:33 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p**5 + 3*p**5 + 2*p**5 + 951*p**4 - 951*p**4 - 23*p**5 + p - 2*p**5 - p + (p + 2*p**2 - p)*(p**3 + 2*p**3 - p**3).\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 31 = 2*x. Let c = -3226 + 3235. Calculate the remainder when x is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(1\/4)*o**(-3\/7)*o)\/(o**(-1))**46)**(2\/153))**(-3\/4) assuming o is positive.\nAnswer: o**(-437\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/2)*i)**(-2))**(2\/3)\/(((i\/((i*i**2)\/i)*i)\/(i*i\/(i\/((i\/i**5)\/i)*i)))\/(i\/((i\/i**(2\/7))\/i))**(-7\/6)) assuming i is positive.\nAnswer: i**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*s = -23, 0 = 2*f - 4*s - 70 + 18. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 994 + -976. Suppose 2*n - 11*n + j = 0. Solve 5*h - 33 = -n*x, -46 = -3*x - 5*h - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7547 and 0.6.\nAnswer: 4528.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59304620.\nAnswer: 2, 5, 223, 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1330395.\nAnswer: 3, 5, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202 (base 3) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3882509473 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21.4 + 1043.4. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + -2 - (-2 - -3). Which is greater: -7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 398874173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1114366010 divided by -5.\nAnswer: -222873202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 3:17 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*u - 3*u - 98*u**3 + 5*u + 64 - 64 in the form y*u**2 + a*u**3 + x + i*u and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8270*u + 8269*u + 33 = 4*d + 8, -11*u - 3*d - d = -75 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 3) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/544*1*(-1)\/(-1). Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1107 + -1104. Suppose 4*y = z - 0*z + 11, 0 = -5*y - 5*z + 45. Let k = 11 - 6. Which is the third smallest value?  (a) y  (b) k  (c) 6  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (156484\/5183)\/116*-73?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 22*x - 81. Let p be k(4). Let y(v) = v**2 + 1. Let w be y(-1). Suppose m + 4*i - 11 = 0, -1 - p = -w*m - i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1607.01511 + 1607. What is p rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17011803 a multiple of 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 526.26 + -524.56. Let k = -12 + 15.5. Let n = k + -4. Which is the smallest value?  (a) 4  (b) n  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3)\/r)**(-1\/24)*(r**(-1\/2))**(7\/8))**29 assuming r is positive.\nAnswer: r**(-377\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21230221203 (base 4) to base 7.\nAnswer: -30415413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 14*b**2 + 7*b - 68. Calculate l(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5053 + (59\/(-118))\/(1\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.047 at most 78.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 125800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 13*c**2 - 16. Let b be s(13). Let k be b*(-3 - (-15)\/6). Let d be (0 + 0)*8\/16. Solve d = -r - r - k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 29*m**3 + 4*m**7 + 0*m**4 - 1\/2*m**2 + 2\/5*m**5 + 0*m**6 + 100 + 0*m. Find the third derivative of x(u) wrt u.\nAnswer: 3360*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -202.\nAnswer: -3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 1257507 = -y - 1257489, 0 = 4*y - 2*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 5*q + 9. Let u(m) = -3*m**2 + 16*m + 27. Let o(i) = -8*r(i) + 3*u(i). Let p be o(9). Solve -n = -2 + 6, 5*t - 4*n - 21 = p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13089, -4007, -32501, -72393, -123683, -186371?\nAnswer: -260457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/5 or -290.04?\nAnswer: -290.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 425028 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6540\/(-25))\/6 + (-2)\/5. What is the tens digit of 343\/11 + (-4 - 168\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2661 is divided by 2601?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*f + 2*f = -8, -2*h - 5*f - 37 = 0. Let w = -4 - h. Let k = 1433 - 1438. Sort k, 0, w in descending order.\nAnswer: w, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2\/4 + 41371335*c\/4 + 10342833.\nAnswer: 3*(c + 1)*(c + 13790444)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + g**2 - 3*g + 2. Calculate t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 201*s + 2092. Is 5 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 8 = -2*y, -2*b + 6 = b - y. Let o(w) = 22*w. What is the tens digit of o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a = 9*a - 4*o + 9, 0 = -a - 2*o + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*((-4)\/(4 - 2))\/2. What is the units digit of (1\/(-2)*f)\/(4\/(-94))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -343\/138 - 1\/69. Calculate the common denominator of (5\/(5\/(-5)))\/((-4)\/5) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.645067 to 3 decimal places.\nAnswer: -0.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/18*-12 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7452993?\nAnswer: 3, 2484331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {v: 2, e: 2, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-95)\/(-2337))\/(125\/(-30))\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(-4)\/(-912)*(-3834)\/213?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -113 + 110. Let p(w) = 6*w - 1. Let c be p(t). Is -19 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m**2 + 0*m**2 + 1 + 2*m**2 - 1.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 5*p + 180 = i, -4*i + 5*p + 189 = 0. Suppose i + 173 = 2*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 212 = -g. Suppose 3*h - 156 = x - g, -4*h = x - 149. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2195118  (b) -0.03  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -2*p**2 + 1. Let v(z) = -z**2 + 1. Let d(i) = -5*i**2 + 6. Let w = 10 + -11. Let o(b) = w*d(b) + 6*v(b). Give o(y(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -90, -165, -216, -231, -198, -105, 60, 309?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 6*z**2 + 13*z - 1. Let t be d(7). Calculate the greatest common factor of 123 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 13395*l - 13399*l + 50, -y - 25 = -3*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 12, h: 1}. What is prob of picking 2 f?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23 - 112202002320?\nAnswer: -112202002231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-290) - (-9490551)\/(-300448845)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27.2 - -25. Let v = -1.2 - b. Put -0.4, v, -6 in descending order.\nAnswer: v, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 252, -5, -22786, -2.\nAnswer: -22786, -5, -4, -2, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 28 = 9*q. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -72*r**4 - 42*r**3 + 292*r**2 + 90*r + 20. Let u(h) = 72*h**4 + 45*h**3 - 293*h**2 - 89*h - 22. Let z(v) = -7*p(v) - 6*u(v). Factor z(y).\nAnswer: 2*(y - 2)*(y + 2)*(6*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (33\/(-6) - -7) + (-156)\/(-240) and -53\/1884.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*x**2 + 7089*x - 10 - 7089*x as p + n*x + l*x**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f**3 - 620*f**2 + 809*f - 4775. Give v(-208).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-3 + -5) - (11 - (0 - -19)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -802900, -802947, -802996, -803047?\n\"Answer: -c**2 - 44*c - 802855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/12 + (-305)\/12 and -43\/31.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2382486 to the power of 1\/2, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u**5 - 391*u**4 + 41002*u**3 - 536712*u**2 + 554976*u + 7634304 = 0. Calculate u.\nAnswer: -3, 6, 12, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 696*3*4\/24. Suppose 3*q - 423 = u. Suppose q = -4*v + 2061. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 24*o**2 - 37*o - 227. Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**3 - 29*i**2 + 14*i - 14. Let t be w(-15). Suppose -2*j - 3*j = 0. Let x = -12 - -7. Put x, j, t in descending order.\nAnswer: t, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/7 and 7\/231841.\nAnswer: 1622887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001101 + 100?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 38 - 271790066707\nAnswer: -271790066669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 754733*u**4 + 2*u**3 + 4*u - 318535?\nAnswer: 3018932*u**3 + 6*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11.03 - 14.03. What is the nearest to 1\/4 in u, 3, -0.5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6\/7 + -4\/7. Suppose 101 = -19*y - 184. Let g be y\/(-4) - -1*(-4 + 0). Which is the third biggest value?  (a) 1\/3  (b) 4  (c) g  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -2*k**3\/3 - 5*k**2 - 193. Let u(s) = s. Give -a(h) - 10*u(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 66*k**2 - 4*k. Calculate i(2).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 239*f - 267. Calculate v(-2).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 213798.\nAnswer: -1\/71266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/166 and 71\/(-426) - 4\/(-10).\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*x - 4. Suppose -4*i + 22 = -2*n - i, 2 = -n - 3*i. Let a be x*(-12)\/(n - -4). What is a rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (18 - (4 - (-9 - -5)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2 + 97*z + 33. Give n(49).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 577 divide 118862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11315 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b + 24. Give s(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*j - 12*j = 8980. Is 58 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 2644.\nAnswer: 23796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -968 = -8*d + 10*d + 2*b, 492 = -d + 3*b. Let a = -486 - d. Let x(h) = -2*h + 10. Calculate x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 9) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i**3 + i**3 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 8:55 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - -114?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - -10. Let c be (-6)\/21 + p\/(-21) + 3. Let s = -11 - -15. Put -2, s, c in decreasing order.\nAnswer: s, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2621720765 to the nearest integer?\nAnswer: 51203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 2*y**2 + 9*y + 1. Let w be j(4). Suppose -w*u - 15 = 0, -u - 497 = -5*g - 2*u. Suppose 460 = 7*n - g. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 447 minutes before 6:46 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1)*f)\/f**2*((f\/((f*f**(2\/9))\/f)*f)\/f*f)\/(f\/f**(-1\/4)))\/(f**6*f*f**(-5\/6))**22 assuming f is positive.\nAnswer: f**(-4901\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 8491742 divided by -8543\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00077096728 to six decimal places.\nAnswer: -0.000771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) -2\/11  (b) -1100  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b**2. Let r(w) = 4*w - 3*w + w**2 - 2*w. Let v(y) = -3*y**2 + 4*y. Let n(c) = 4*r(c) + v(c). What is d(n(i))?\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (72 + -1)\/(-7 - (846\/(-168) - 2))?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h - 61*h - 248 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 400801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*p**2 - 158*p**2 - 2*p**3 - 144*p**2 - 203*p**2.\nAnswer: -2*p**3 - 442*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of 2*x**3\/3 - x**2 + 51*x. Let q(s) = -3*s. Give q(h(w)).\nAnswer: -12*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q. Let k(j) be the second derivative of -5*j**4\/12 + j**3 - j**2\/2 + 634*j - 1. Determine -6*c(s) + k(s).\nAnswer: -5*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5076 - 1182*p - 5076.\nAnswer: -1182*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**2. Let w(f) be the first derivative of 0*f**2 - 2*f + 1\/2*f**3 + 5. Let k(m) be the first derivative of w(m). Calculate p(k(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -10*r + 5*r. What is the derivative of -r - 11*x - 7*x + 9*x wrt x?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.6 times 3.3?\nAnswer: 256.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - (7 + -2) - -5. Let a be (-4)\/5 + b*99\/(-135). Sort 3, a, -7 in descending order.\nAnswer: 3, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**2\/4 + 303*x\/4 - 3195\/2 = 0 for x.\nAnswer: 30, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -313 (base 4) to base 9.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*t + 24, 0 = 3*n - 4*t - 2 + 12. Solve -y = -3*y - n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 1533*k**3 + 2315*k - 2275. What is the derivative of b(p) wrt p?\nAnswer: 9198*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -21 - 109?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -29*f - 1. Let q(k) = -k**2 - 22*k + 48828. What is the remainder when q(-229) is divided by v(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of -p**2 - 451. Let r(z) = -4*z - 46. Calculate r(c(i)).\nAnswer: 8*i - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 6*j + 2. Let g be p(0). Suppose 5*i - 4*k - 149 = 0, 120 = 2*i + g*i - 3*k. Let f(q) = 1 - 1 + i*q**2 - 35*q**2 + 1 - q. Give f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, w: 3, g: 1, s: 2, c: 3, o: 1}. What is prob of picking 2 c, 1 o, and 1 y?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 3*q. Let h(v) = -v - 16. Let z be h(-8). Let g(w) = w + 1. Let u be g(z). Let a(j) = 6*j + 295 - 295. Give u*k(l) + 3*a(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 61232 and 946?\nAnswer: 673552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -6. Suppose 5*q - y*q = -4. Solve q*o - 8 = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1876 divided by 134?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 + 236*g + 31605. Give t(-80).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-75) + (-510473)\/(-30075).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2232906 is divided by 89314?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 188900 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -7*f + 1. Let t(c) = -c. Give -2*a(d) + 18*t(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q**3 - 2*q**3 - q**3 + (0*q + q + 0*q)*(-3*q**2 - 4*q**2 + 2*q**2).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 - 5.5. Let u = h - -4. Let m = 1.1 + -1. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - x - 16, -5*d + 24 + 6 = -5*x. Suppose 452 = 4*c - a, 0*c - d*a + 204 = 2*c. Suppose -4*b = -c + 40. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*k**2*w - 16771*k**2 - 4*k*w - 152*k - 335 wrt k?\nAnswer: 86*w - 33542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-63)*((-219)\/(-105) - (-18)\/(-63))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-32))\/((-19)\/1064)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = 51*k + 319 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v - 1. Let o be t(2). Suppose o*h + h = 196. Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 20 = -5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - -2. Suppose -4*h + 32 = 4*t, -4*h - n = -5*t + 1. Suppose -2*k - 20 = -3*c, -k = 5 - t. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*b - 2*b - 18*b - 2*b + 0*b + 0*b + (-1 - b + 1)*(2 + 4 - 4) + 0*b - b + 3*b - 6 + 16*b + 16*b - 37*b.\nAnswer: -34*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**2 + 5*j + 2. Let p(w) = -2*w**2 + 4*w + 2. Suppose -4*g + 0*g = 20. Let b be (-4)\/(-10) + 22\/g. Let s = -2 - -5. Determine b*p(f) + s*r(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/266 and 64\/1001.\nAnswer: 38038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/6*(-21)\/(58968\/(-54)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 5*k - 561, -3*i + 3*k = 2*i + 935. Let l = -174 - i. Solve -11*y - 2 = -l*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -18, 0.18, 0?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**2 - 5*u - 3*u**2 + 6*u**2 to g + q*u + s*u**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 21*p**2 - 17*p + 3. What is the remainder when x(3) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-6)*1*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168 is divided by (4\/6)\/(1990\/330 - 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9066 is divided by 4518.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3029674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/((-4)\/18 - 1133\/(-5544)). Suppose 36*d - h = 43*d. Is d at least as big as -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/365 and 35\/584.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/4)\/(3\/((-54)\/45))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1061*u + 490*u + 78*u - 179*u)*(2 + 3*u - 3*u + u**2) in the form d + x*u + z*u**2 + g*u**3 and give x.\nAnswer: 2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 74 and 3182.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, -2, -164 in ascending order.\nAnswer: -164, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3195 = 2*z + 699, z + 5017 = 2*a. What are the prime factors of a?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a. Let r = 0 + -2. Let p be c(r). Let w be (-1 + 0 - 0)*0. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4709424 is divided by 174419.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44615239, 44615245, 44615251, 44615257, 44615263, 44615269?\nAnswer: 44615275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17422246*k**2*l + k**2 + 2*k*l + 529*l - 1359 wrt k.\nAnswer: -34844492*k*l + 2*k + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 73*y - 132. Let f(x) = -75*x + 133. Let z(m) = 4*f(m) + 5*q(m). What are the prime factors of z(10)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 13387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - 1.656.\nAnswer: -12.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + 5. Let h = 2 - -3. Let x = 9 - h. Calculate the smallest common multiple of x and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 893*o - 9909 = -616*o + 62523 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 722 - 664. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 2586.\nAnswer: 25860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234, -232, -230, -228, -226?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-12)*0)\/2. Suppose 6*s + 3 - 51 = n. List the prime factors of (4\/(-6))\/(s\/(-228)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 87c + -8?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.049?  (a) 1\/37  (b) -5  (c) 1  (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/30*(-1 + 2). Let x = 3.5 - 3. Let o = 174 + -523\/3. Put x, o, c in decreasing order.\nAnswer: x, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 158.5 times 6.52\nAnswer: 1033.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*w + 7125 = 7589 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -307328 + 307330. Determine g so that 9\/7*g + 18\/7*g**4 + 39\/7*g**3 - 6*g**i + 0 = 0.\nAnswer: -3, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -23*r - 982. Determine w(-43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(15\/9)*(-4)\/(-8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 114669, 114670, 114669, 114666?\n\"Answer: -w**2 + 4*w + 114666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -11.8. Suppose 0 = -23*g + 25*g + 5*t + 17, 0 = -2*t - 10. What is the second biggest value in g, 7, -4, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.51 in -3, -0.1, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 61952*n**2\/9 + 2694208*n + 263626722.\nAnswer: 2*(176*n + 34443)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18780*j*u**2 - 8682*u**2 wrt j.\nAnswer: 18780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c\/(c**1*c))\/c)\/c)**43*(c\/(c*c\/(c\/c**0*c*c)))**(-1\/6))**(-25) assuming c is positive.\nAnswer: c**(6475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48283602?\nAnswer: 2, 3, 8047267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8.69  (b) -3  (c) 0.0185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 191, 205, 233, 281, 355?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 131\/4 + (-12)\/16. Find the second derivative of 36*s**4 - 46*s**4 + 29*s**4 + t*s wrt s.\nAnswer: 228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82298009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-14)\/1050 + (-2029)\/(-300).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -9 - (-1 - 4\/(-4)). Let a be (-4)\/(-186)*b\/(-132). Let d = -5803\/4092 + a. Calculate the common denominator of d and 41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, n: 3, v: 5, c: 6}. What is prob of sequence nn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2178 and 6597426.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -429 = 472*d - 511*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 2*r = z + 62, 7*z - 41*r = -39*r - 118 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*k**4 + 78*k**3 + 43*k**3 - 22*k**4 - 2 + 53*k**3 - 2*k**2 - 43*k**3 in the form r + m*k**2 + s*k**4 + h*k**3 + a*k and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((0 + sqrt(3) - sqrt(3)) + -5 + sqrt(12)\/sqrt(4) + 2).\nAnswer: -18 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17223, -17678, -18433, -19488, -20843, -22498, -24453?\nAnswer: -26708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -114096 divided by -19016\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5720840*s**2 + 1819812*s wrt s.\nAnswer: -11441680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/6 in -6\/11, 5, -5\/24?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = m + 184. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50647820 divided by 4?\nAnswer: 12661955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 - 2 = -4*r + 65 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**4 + 1056*w**3 + 135894*w**2 - 3807264*w + 3670317 = 0.\nAnswer: -119, 1, 23, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3053*y + b = 3056*y - 10, 3*y = 2*b + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 170 in -3, 1\/13, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -13*w + 53. Let j(u) = -27*u + 106. Let q(r) = 7*d(r) - 3*j(r). What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68757, -275022, -618797, -1100082?\nAnswer: -1718877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3884 + 356*f**2 - 3884.\nAnswer: 356*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2960\/(-2072))\/(4\/84)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 0, -4, 5 in decreasing order.\nAnswer: 13, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -5*x**4 + 325*x**3 - 6795*x**2 + 42875*x + 50000 = 0.\nAnswer: -1, 16, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1257\/(-2095)*(497\/105 - (-4)\/(-10)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1285.5 rounded to the nearest ten?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.111 - 0.189. Let z = -8 - j. Let w = 895.1 + -895. Which is the closest to w?  (a) z  (b) 4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6d3b8a (base 14) in base 16?\nAnswer: 39051e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - 75) + (-2 - 3). Suppose 17 = 2*t + 2*t + x, 4*x = t + 17. Is y*1*(t - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -104?  (a) -3634  (b) 2.6  (c) -2\/3  (d) 1\/2  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3408974.\nAnswer: 2, 1704487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21\/8, 0.4, 5 in increasing order.\nAnswer: 0.4, 21\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -86*j - 1125. Determine w(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 1:04 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9 - ((-1 - -1) + -1). Let l(q) = -q - 11. Let b be l(t). Find the common denominator of (-127)\/b*1\/(-6) and 47\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2 = -f. Let x = -1.1 - -0.1. Let p = 135.5 + -131.5. What is the nearest to f in x, 0.4, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 823584*m - 9883003. Calculate j(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1777 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 11*j + 9. Let w(f) = 8*f + 4 - 9*f + 6*f. Suppose -2*l - 17 = -3*m, -5*m - 3*l = -3 - 0. Let o be 0\/(-2) - (m + 0). What is o*q(c) + 7*w(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/70  (b) 0  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -0.08, 3\/2, 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 4*c + 4 = 0, 3*o - 7 = 5*c + 4. Suppose 0 = o*a + a + 387. Let v = -84 - a. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/6*792\/660.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/(-135))\/(-5)*-6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 436561479 to the power of 1\/2, to the nearest integer?\nAnswer: 20894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54 + -16. Calculate the remainder when k\/(-3)*6\/(-4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -473463432 divided by -8306376?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6801840 and 83660?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 294 = -163*d + 121*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 41072 (base 9) to base 16\nAnswer: 699e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(60)\/sqrt(3))\/((2*sqrt(120))\/sqrt(12) - sqrt(10)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -29215249 * 33\nAnswer: -964103217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*d - 6*m + 119, 356*d + 22 = 357*d - 2*m + 5*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -67, 0, 33.\nAnswer: -67, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*i**5 - 35*i + 35*i - 3 + (21*i**4 - 2*i**4 + 8*i**4)*(-2*i + 0*i + 0*i) - 5*i**3 + 5*i**3 - i**5.\nAnswer: -73*i**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -14827 (base 9) in base 7?\nAnswer: -41410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -558897\/2066288 - 3\/15536. Let s = b - -256\/665. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(3\/7)*b*b**9\/b)**(13\/2)*(b**(3\/2)*b**3)\/(b\/(b*b**1))**(-7) assuming b is positive.\nAnswer: b**(823\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 47178510 rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3587383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.02 and 203231.\nAnswer: -4064.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s + 5*s + s**3 - s + 2*s**3 + s + (-4 + s**2 + 4)*(4*s - s - s) to n*s**3 + c*s**2 + l + j*s and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 s, and 2 e when four letters picked without replacement from {w: 1, e: 4, f: 5, q: 9, s: 1}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/19  (b) -24449  (c) -13.5  (d) 2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 720150 and 192040.\nAnswer: 2880600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - p + 20, -3*p = 3*y - 0 - 30. Suppose -58 = -y*n - 23. What is 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 next term in -534, -2189, -4888, -8577, -13202, -18709?\nAnswer: -25044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**3\/3 - z**2\/2 + 4*z + 7. What is the lowest common multiple of 10 and h(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3336)\/1251*30\/5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 593.8 - 512. Let z = -82 + m. Sort z, 4\/9, -4\/5 in decreasing order.\nAnswer: 4\/9, z, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*z + i - 16, 264*z - 271*z + 5*i = -28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 326 = 10*w - 32*w + 18 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1527152 (base 9) to base 8.\nAnswer: 3162357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/8 of a meter in millimeters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1195 - 115 - (-1 + 2 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (5 + -12 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/23)\/p)\/(p\/(p*p**15)))\/(p**2)**(-44) assuming p is positive.\nAnswer: p**(2344\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*l = -6*l - 82 - 368 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3*v + 3086, 2*v - l = -v - 3088. Let n = 134801\/131 + v. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53 or -50?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 7:02 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20*(-77)\/112)\/(-125*(-49)\/14700)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*f**3\/3 + 130*f**2\/3 + 43*f + 12.\nAnswer: (f + 4)*(5*f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 2*l - 62, 5*b + l - 101 = 2*l. What is the lowest common multiple of b and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + h**2 - h - 1. Let j(t) = 21*t**3 - 28*t**2 + 28*t + 28. Calculate 3*j(x) + 84*p(x).\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*i + 4*i - i)*(-894*i + 361*i**2 + 672*i**2 + 894*i)*(2*i + 2*i + 0*i) to the form q + z*i**3 + y*i + d*i**4 + u*i**2 and give d.\nAnswer: 12396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**4 + 5629*j**3 - 612824*j**2 + 1799084*j - 1191888 = 0.\nAnswer: 1, 2, 108, 5518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 45 divided by -4\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -55, -6 in decreasing order.\nAnswer: 3, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w**2 - 1 + 5*w**2 - 7 + w**3. Let s be (77\/33)\/(4\/(-12)). List the prime factors of y(s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 5*t - 6. What is p(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 21  (b) 7  (c) -1  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1716722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315)\/(sqrt(5) + sqrt(45)\/(sqrt(9) + sqrt(81) - sqrt(9))))\/(sqrt(9)*-2*3 + (sqrt(108)\/sqrt(3))\/sqrt(4)).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wucgkwxc. What is prob of picking 1 c, 1 x, and 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/788739 and -59\/114310?\nAnswer: 7887390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2))**(-16\/9)*(r*r\/(r\/r**8))\/(r**(-6)\/r) assuming r is positive.\nAnswer: r**(176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -41*z**2 - 1233*z + 2. Let w(k) = 15*k**2 + 411*k - 1. Calculate -3*a(p) - 8*w(p).\nAnswer: 3*p**2 + 411*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 8) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 50*h**4\/7 + 1085380*h**3\/7 + 5890031642*h**2\/7 - 2356142904*h\/7 + 235618632\/7 = 0. What is h?\nAnswer: -10854, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/9)*b**(-10))**(-30) assuming b is positive.\nAnswer: b**(920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + 16\/(-12))*-42. Suppose -4*c - 98 = l. Let n = -35 - c. What is the smallest common multiple of 10 and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 3. Suppose -9 + 144 = x*c. Suppose 0 = 4*d + 4*w - 140, 3*d + w - 54 = c. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q. Let u(s) = 4*s + 4*s + 420 - 419 + 12*s. What is u(w(p))?\nAnswer: 80*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46166697, -92333396, -138500095, -184666794, -230833493?\nAnswer: -277000192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1662, -1595, -1540, -1503, -1490, -1507, -1560?\n\"Answer: -k**3 + 74*k - 1735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q + q + 71 - 141 + 72. Suppose 0 = -4*f + x + 7, x + 11 - 2 = 5*f. What is the units digit of p(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-160)\/20)\/32)\/((-129)\/(-48)*2)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 0*v + 2*d + 16, -4*d = -3*v - 18. Let g = v - -18. What is the smallest common multiple of 10 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwokbkwywwjwkjjw. Give prob of picking 1 k and 2 w.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3383 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 12*t**2 - 27*t - 3. What is the least common multiple of -1 + 1 + -2 + 7 and m(4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*q = -169*q - 42625. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**13\/l*l)\/l)**2*(l*l\/(l\/(l*l\/(((l\/((l**8*l)\/l))\/l)\/l)))*l)**(-6) assuming l is positive.\nAnswer: l**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -13. Sort -0.2, -2\/33, g, 1\/4 in ascending order.\nAnswer: -0.2, -2\/33, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 107965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from {i: 5, g: 3, f: 1, h: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1452)*2 + sqrt(1452) + sqrt(1452))\/(sqrt(4) - sqrt(64)*4).\nAnswer: -44*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**3 - c**2 + 2*c + 66*c**4 - 80*c**4 - c as s*c**2 + x*c**4 + k*c + h*c**3 + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15996 or -31991\/2?\nAnswer: -15996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {a: 1, d: 5, l: 13}.\nAnswer: 65\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*a**5 - 39*a**4 + 159*a**3 - 69*a**2 - 18*a = 0. What is a?\nAnswer: -3, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/4, -10, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -51*(-4)\/(-52) + (-24)\/(-6). Which is the closest to 0?  (a) -2\/9  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 3*o + 60, 0 = o - 5*o - 20. Suppose 2*j + 5*f - 4*f = 113, 5*f - l = 0. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 5912216?\nAnswer: -1\/1478054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*i**4 + 0*i**4 + 2 + 6*i + 8*i**4 as m*i**4 + c*i**2 + s*i**3 + f + g*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dplm when four letters picked without replacement from {l: 7, h: 2, p: 3, d: 1, m: 1}?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9422.997 hours to nanoseconds.\nAnswer: 33922789200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1074 (base 9) in base 10?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 50723684111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -578 - -590. Let x(u) = -3 + 3 - 8*u + 21*u + 9 - w*u. What is x(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227930 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - z + 11 = -9*p, 4*p + 4*z = -4. Let v be (-9)\/(8 + 1) + p\/2. Sort -1, -5, v, 4 in ascending order.\nAnswer: -5, v, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 504 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 8*f**2 - 3*f. Let p be k(5). Let r = 175 - 145. Calculate the greatest common factor of p and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*j**5\/2 + 195*j**4\/2 + 201*j**3\/2 - 147*j**2\/2 - 111*j - 24 = 0. What is j?\nAnswer: -8, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3079*d + 3074*d = 5*k - 45, 22*d + 32 = k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 q, and 2 a when four letters picked without replacement from {c: 6, q: 1, a: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.268  (b) -38371  (c) 0  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -7, -8, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -2*i + a, -5*a = 5*i - 55 - 5. Suppose 2*o - 216 = -q, -4*q = -7*q. What is the remainder when o is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - z - 164 = 0. Let j be (-35 + 7)*z\/(-4). Is (1 + j\/21)\/(1\/(-3)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + (-20)\/50 + 1044\/(-165). Put p, -1\/7, 2\/3 in ascending order.\nAnswer: p, -1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o - 98. Let i be l(22). Solve -5*j + i = -j + y, 2 = -5*j + 3*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 563*g - 745 + 745 - 14*g**2 - 1134*g + 568*g.\nAnswer: -14*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/56709 and 89\/132.\nAnswer: 2495196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**3 + 3*f. Let k be g(-5). Let s be (2\/(-1))\/(10\/k). Let r = 8 - s. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5839\/776 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -8. Suppose -21*s + 25*s - 40 = t. Solve -2*m - s = -7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*u - 86 - 34 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -152, 2\/3, -3, 2.2.\nAnswer: -152, -3, 2\/3, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15565 or -15584?\nAnswer: -15584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iraiiariiiiamarirpi. What is prob of sequence rm?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1436418*l**2 + 2438*l + 5415.\nAnswer: 2872836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1988 + -710. Let x(m) = -639*m + f*m - 637*m. Let o(y) = 184*y. What is o(x(d))?\nAnswer: 368*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65 + -190. Let c = r - -173. What is the highest common divisor of c and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50358397 a multiple of 2015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.059 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iuuxlxiiusxiuu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33002 - -80055. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from hxxtthshxihth?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03 and -0.023.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2434 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 96445002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m**3 - 8*m**2 + 16*m - 16. What is the tens digit of b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - ((-2)\/4 + 35\/14) - -6. Solve -2*i + 3*j = 7, 0*j + 5*j = -t*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.27 - 0.57. Let n = 35.4 + -31. Let f = n - 4. What is the smallest value in a, f, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 226 * -0.2\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 3*w**2 - 6*w - 2. Let x be t(-3). Let m be (-4)\/(x\/(-20390))*3\/15. Let y = -1045 + m. What is the common denominator of 71\/3 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27493.13 millilitres to litres.\nAnswer: 27.49313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 642 - 926. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1432 and 3938.\nAnswer: 15752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yjjojjjjoj. What is prob of picking 1 j and 1 y?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of -u**2 + 36*u - 1. Let v be t(16). Let x = 0 + 5. Solve -x*o - 8 = -3*r, 0 = v*o - 0*r - 2*r + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -3)\/((-11)\/2). Let k be (15587\/(-121))\/(-13) - 9. Factor 18\/11*a**3 + 4\/11*a**5 + 0 + 14\/11*a**4 + m*a + k*a**2.\nAnswer: 2*a*(a + 1)**3*(2*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 20*o**2 + 54*o + 26240*o**3 - 9*o**4 - 11*o**4 - 26324*o**3 + 30*o = 0.\nAnswer: -21\/5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/40 and -81\/3496.\nAnswer: 17480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 423550 and 725926.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -332, -355, -398, -467, -568?\n\"Answer: -o**3 - 4*o**2 - 4*o - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/12*(-8)\/(-44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 1, -0.2, 79, 2\/17, -3\/4, -7, 0?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*sqrt(567) + sqrt(567)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*f - 24. Solve -4*h - 5 = -r, 0 = -2*h - f*r + 4 + 11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.1, -4, -59, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4105.123173 rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 16. What is the closest to 2\/3 in -3\/8, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/52, 4, 1, 1\/3, 0.\nAnswer: -1\/52, 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 4, -2, -120, 0.79, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -629, -615, -613, -629, -669, -739?\n\"Answer: -f**3 + 21*f - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.038 times -1233?\nAnswer: -46.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r**4 + 267*r**3 + 660*r**2 + 324*r = 0. Calculate r.\nAnswer: -27, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 9364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 87 and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -10*i**2 - 6*i - 4. Let u(r) = 9*r**2 + 5*r + 3. Let f be 190\/(-40) + (-1)\/4. Calculate f*d(p) - 6*u(p).\nAnswer: -4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7126*c**3 + 319*c**3 - 104*c**3 + 65842 - 59692 with respect to c.\nAnswer: 22023*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.17 * -45\nAnswer: -232.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -4*o - 1. Let x be b(-1). Suppose 4*m - 3*g + 1 = x*m, -4*g = 2*m - 18. Suppose -m*z + 6 + 24 = 0. What is the remainder when 16 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.692094 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 10  (b) -3  (c) 2\/3  (d) -1.8  (e) 29.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1983348)\/(-999) + 5*2\/6 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*z - 4*z. Suppose 2*x - 71 = -3*k, 5*x + 2*k = -z*k + 170. Solve x = 4*p + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5140\/(-771)*(-2)\/15.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 3)*(28*p**2 - 28*p**2 - 14*p**3)*(3*p - p + 0*p).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 383841901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110 divided by 1820687.\nAnswer: 10\/165517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 < 2635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 11:51 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/3)*l)\/(l**2\/l)*l**(-3\/2)*l*l**(4\/11) assuming l is positive.\nAnswer: l**(35\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(33\/(-15)) - 1338\/2453. Let d = -28356\/107 + 265. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3954 is divided by 986?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 863779429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233 + 241 + 2*m - 474 - 9*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-21)\/(567\/(-36)))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 16*i - 10. Let r be d(-15). Is (-433)\/3*(0\/r + -3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9250, 10524, 11810, 13114, 14442, 15800, 17194, 18630?\nAnswer: 20114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (-15)\/(-12)*(6 + -10). Suppose q = j*c + 12444, -5*q = -q - c - 49798. Round q to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114 = 50*x - 64, -t = x + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*6*(-5 + (2 + sqrt(500) + -2 + (sqrt(500) - (sqrt(500) - (sqrt(500) + -3*sqrt(500)*2))))*-1)**2.\nAnswer: -2400*sqrt(5) + 48150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 5*x - 4*x + 0 + x**2 + 2. Let i be d(0). Suppose 4 = 2*t - 4*h, h + 0*h + 10 = i*t. Solve 2*o = t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 70 = -0*l. Suppose 5*h - 32 = 18. Calculate the least common multiple of l and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g = 4*g + m + 18, -17*m + 10 = -12*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1*46\/(-6) + 4\/(12\/(-15))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1072\/(-10))\/((-22)\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -7 - 22 - (-78 - -71) - -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.0962 times 1.6\nAnswer: 0.15392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 5*a - 4. Suppose 36*g = 31*g + 72*g + 335. Let q(h) = 2*h**2 - 4*h + 3. Calculate g*q(f) - 4*m(f).\nAnswer: -6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/3*(-6)\/(-180)*6. Let q = -0.14 - -12.14. Let k = q - 11. Put -2\/9, k, p, -1\/6 in ascending order.\nAnswer: p, -2\/9, -1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 582, 1169, 1758, 2349, 2942, 3537, 4134?\n\"Answer: f**2 + 584*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -10*q - 50. Determine m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1821015, 3642058, 5463101, 7284144, 9105187?\nAnswer: 10926230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 8. Let n(a) = -a - 7*a**2 + 8 + k*a - a. Let w(g) = 20*g**2 - 3*g - 23. Let p(h) = 17*n(h) + 6*w(h). Suppose p(f) = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (126\/20)\/((-60564)\/(-64890)).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3\/((-12)\/(-33124)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3431517944467 + 0.4.\nAnswer: 0.7431517944467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -533056, -1066117, -1599170, -2132209, -2665228?\n\"Answer: y**3 - 2*y**2 - 533062*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -1. Suppose u = 2, 2*j + 7920*u - 7925*u = -12. Sort 2, 4, i, j in decreasing order.\nAnswer: 4, 2, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -5*p - x + 20, 3*x - 19 = -5*p. Solve -4*h + 3*v - 24 = v, 0 = -3*h - p*v - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2049*w + 58. Let q be b(-5). Let k = 11442 + q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -150 - 557*k**3 + 564*k - 410 + 377*k**2 + 545*k**3 + 21*k. Let x(l) = -3*l**3 + 95*l**2 + 146*l - 140. Let a(f) = -2*t(f) + 9*x(f). Factor a(g).\nAnswer: -(g - 35)*(g + 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-2) + -2)*2. Let o = 11 - w. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f*p**4 + 33*f*p**3 - 2*f*p**2 - 8*f*p - 9*f - 33*p**4 - 1 wrt p.\nAnswer: 24*f*p + 198*f - 792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from pdyqqsqsyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 1\/30*q**5 - 5\/2*q**4 + 75*q**3 + 0*q - 3 - 23*q**2. Determine l so that x(l) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4760*g + 4854*g - 5964 = 9472*g for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/9*-9 + 2. Suppose 0 = -5*j - 2*x + p*x + 109, 4*x - 8 = 0. Suppose 4*l = 3*l + 3*q + j, -3*l - 3*q = -57. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 28237  (b) 109  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 84 = 3*v. What is the remainder when v is divided by 1*-11*(3 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**2)*u*u**(-36))\/((u*u\/(u**(-30)*u))\/((u*u**47)\/u)) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 102.2 - 117. Let c = -15 - s. Sort -3\/8, 3, c in ascending order.\nAnswer: -3\/8, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 294212.\nAnswer: 2, 73553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.73 - -0.7. Let m(r) = r**3 + 4*r**2 + r + 8. Let d be m(-4). Suppose -d*w = 7 - 31. What is the closest to 0 in 5, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -139014, -139446, -139878?\n\"Answer: -432*o - 138582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 889 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is b6d (base 16) in base 15?\nAnswer: d00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2823?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -66*l + 71*l + 53200. What is l rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 19. Let s = 122 + 2. Let b = s + -64. What is the greatest common factor of b and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.04 + -0.14. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -20, -5727, -5 in descending order.\nAnswer: -2, -5, -20, -5727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 8*d**2 + 10*d - 9. Let y be c(9). Suppose y + 4 = z. Suppose -z*k + 24 = 4. Solve 18 = -k*i - 0*u - u, 2*i = -3*u - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -153\/1022 - 2085547\/9198. Let s = o + 228. What is z in -16\/9*z - s*z**2 - 8\/9 - 2\/9*z**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1141122403 (base 5) to base 7.\nAnswer: -31515336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**2*(j*j*j**(-2\/5))\/j*((((j**1\/j)\/j)\/j*j*j)\/j)**41*(j**1)**(14\/3)*j**(-2)*j*(j*j**(-6))\/j assuming j is positive.\nAnswer: j**(-656\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1)**48*(c\/(c*(c\/(((c\/(c\/c**(2\/5)))\/c)\/c)*c)\/c)*c)**(-5)*(c**(-10)*c*c**(-2\/7))**(-8\/11) assuming c is positive.\nAnswer: c**(4832\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 21*x**2 + 2*x. Let o(f) = -f. Let y(i) = -i**3 + 5*i**2 + 18*i - 26. Let v be y(7). Calculate v*o(p) + a(p).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.24, 1\/4, -3, -1\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*g + 25 = -18*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 4:46 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -66 + 68. Let q(z) = 36*z**2 - 1 + 12*z**2 - 16*z**2 + 35*z**x. Let t(l) = -2*l. Calculate q(t(b)).\nAnswer: 268*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3263\/9538*(-20)\/65?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 85 + -52. Suppose 7*a - 90 - 64 = 0. Calculate the greatest common factor of a and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12323973.4 to the nearest one hundred thousand.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8\/15 - -131\/105. Let m(k) be the second derivative of -k**5\/20 - k**4\/4 + k**3\/2 + 5*k**2\/2 + 3*k. Find the common denominator of o and m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 241 + -241. Suppose r = -6*p + 40 - 4. Let q = 5 + -2. Which is the fourth biggest value?  (a) p  (b) 1\/4  (c) -1  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -11. Calculate the lowest common multiple of (-3)\/r*0 - -5 and ((9\/(-3))\/3)\/(71 + -72).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + (51\/(-18) - -1))*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 274306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25682*o - 25687*o - 110 = 5*c - 0*c, -84 = 3*o - 3*c for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17)*-2*2 - (sqrt(17) - (sqrt(425) - sqrt(17)))*-4) + -2.\nAnswer: -16*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 998640?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -0 + 9. Suppose 0 = v*r + 19 - 46. Let b = -13\/19 + 471\/133. Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 206611658 and -4.\nAnswer: -826446632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 161\/2580 and -23\/56115?\nAnswer: 224460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 12 = -3*g. Which is the smallest value?  (a) 5  (b) 0.8  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7570766*v**2 + 9321329.\nAnswer: -15141532*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, -1\/3, 12\/25, 5 in decreasing order.\nAnswer: 5, 4, 12\/25, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -3*s**4\/7 + 1053*s**3 + 14754*s**2\/7 = 0.\nAnswer: -2, 0, 2459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4210 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 2*v + x + 1778, -5*v = 3*x - 4445. Is v 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 7649274?\nAnswer: 2, 3, 1274879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 209 * 235\nAnswer: 49115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 62982 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, x: 11, w: 1}. What is prob of picking 1 x and 1 w?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11239\/5 + -7 + 806\/130 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2970 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 4 - 3 + 66*s.\nAnswer: 66*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (14 - 18)\/((-1)\/51). Suppose 2*a - 106 = -4*v, -4*a + 4*v = 8*v - c. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**3 + 16*n**2 - 11*n - 147. Calculate t(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -107, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - -0.4363991.\nAnswer: -4.5636009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 18 = -s, -w - 2*w - 4*s = 20. Find the common denominator of -77\/2 and (-120)\/(-725)*(-30)\/w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 12 = -9*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 - 2 = 11*u. Solve -2 - 2 = u*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 970 divided by 194\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2283461483 to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, 288, 561, 824, 1005, 1032, 833, 336?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, d: 1, u: 1, f: 1, l: 1}. What is prob of sequence dlh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13811, -55266, -124357, -221084, -345447, -497446, -677081?\nAnswer: -884352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 367824462.8 to the nearest ten thousand.\nAnswer: 367820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/55)\/(14\/735)*3\/24.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7779549 to the nearest integer?\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -57894 = -57895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2*g + 0*g = -168, 0 = 4*m - 5*g - 168. Suppose 0*u + 14 = u. What is the greatest common factor of u and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7 - 1)*10\/(-4) - 1. What is the greatest common divisor of 152 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 + -14. Find the first derivative of -4*r**2 + j + 11 + 46*r**2 wrt r.\nAnswer: 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20.072112 + 268.455122. Let l = a + -248.6. Let w = l - -0.218. Round w to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28441 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 8) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyyyxxxyxxyx. Give prob of picking 2 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 6 - 5 = 0, -5*l + 3 = 4*h. Let u be (h\/8)\/((-11)\/(-132)). Solve -u*x + 3 = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*j**2 + j**2 - j**2)*(53 - 53 + 9*j)*(-96 + 3*j + 96) to m*j + i*j**2 + n*j**4 + b*j**3 + h and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 - (-8 - -2) - 6\/(-2). Suppose -p*u = -3*a + 89, 3*a + 3*u - 37 - 44 = 0. Calculate the remainder when 138 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5736, -11480, -17256, -23082, -28976, -34956, -41040, -47246?\n\"Answer: -3*z**3 + 2*z**2 - 5729*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*l**3*r + 32441308*l**3 - 672775*l*r - 6*r wrt r?\nAnswer: -5*l**3 - 672775*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -924816*d**2 + 1270190 wrt d.\nAnswer: -1849632*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 536424013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 12*l - 18. Let v(o) = o - 1. Let d be (-1 + (5 - 3))\/((-4)\/4). Let n(t) = d*i(t) + 10*v(t). Let b be n(0). Solve -5*y - 12 = b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5 - 612*n**4\/5 - 3722*n**3\/5 + 173824*n**2\/5 - 735528*n\/5 + 566048\/5 = 0 for n.\nAnswer: -38, 1, 4, 49\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009879486 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 7*n**2 - 5*n + 3 - 4*n**3 + 5*n**3 + 10*n. Let b be w(-5). Suppose 3*g + 14 = 5*g. What is the greatest common factor of g and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28254 is divided by 57?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - 6*r + 7. Let o(d) = 5*d**2 + d - 1. Let i be o(1). Let f be c(i). Find the first derivative of -5 + f*n**2 + 0 - 1 - 3*n**2 wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooojjojojooo. Give prob of sequence ojjo.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((((-200)\/4)\/5)\/1)\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -171, -189, -211, -237?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -1\/20*a**5 + 4*a**2 + 0*a + 0 + 0*a**4 + 0*a**3. Let b(q) = 2*q. What is c(b(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**2 + 15*h + 33. Does 19 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -83\/883?\nAnswer: -83\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ps when two letters picked without replacement from jwawjpsff?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -314954.22381 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (-1)\/(-2))*296. Suppose -q = 5*t - 23. Let n = t - -74\/3. Put -2, 0.5, n in descending order.\nAnswer: 0.5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.337 + -0.537. Which is the closest to 1\/3?  (a) 5\/33  (b) -2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*v + 2*v. Let h = 41\/57 - 1\/19. Which is the closest to v?  (a) -2  (b) h  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2112012221221210 + 12?\nAnswer: -2112012221221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) - (0 + sqrt(475)))) + -1)) + -1 + -2)*1)**2*-6.\nAnswer: -3144 - 420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -29 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2833, 5062, 11103, 22858, 42229, 71118?\n\"Answer: 317*a**3 + 4*a**2 - 2*a + 2514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(-8)*t*t)*t*t*t*t)**(23\/5)\/(t**(1\/27)*t**(-9\/2)\/t*t) assuming t is positive.\nAnswer: t**(2725\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -24\/6529 and 20\/3.\nAnswer: 19587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 20892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8418 divided by -138.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2096*c**3*j**3 - 8*c**3*j - 1337*c*j + 21*j**3 wrt c.\nAnswer: -12576*c*j**3 - 48*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -579494.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 10:38 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 2*b = -48, 64784*i - 64780*i + 64 = 4*b for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 35 = -7*t + 20 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -120.1872 + 0.2872. Let l = 119.90001009 + w. Round l to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 818*z - 819*z - 30, 5*d = -3*z - 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a factor of 33\/((26156\/(-13776) - -2) + (-116)\/1218)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11975 is divided by 11749?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, 3, 15, -2 in decreasing order.\nAnswer: 15, 3, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49344697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 96*u**3 + 3*u + 1 + 92*u**3 + (-5*u**2 + 0*u**2 + 3*u**2)*(2*u - 5*u + 8*u).\nAnswer: -14*u**3 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16 - -4?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = k + 8, -3*k + 35 = 2*k + 5*s. Suppose k*f - 144 = 4*c, -3*f - c + 2*c + 196 = 0. What is the remainder when f is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 10*g - 10*g + 2500 - 2496 - 12*g**2. Let z(w) = 6*w**2 - 2. What is 3*v(x) + 5*z(x)?\nAnswer: -6*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 8*g + 10. Let h be c(-4). Let v = h - -24. Solve v*s - 2 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1123 + -1124. Suppose -7 - 7 = -q. Let j = k + q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (23 - 21)\/((-1 - -3)\/2). Factor 14*u**3 + 73 + 97 + 10*u - z*u**4 - 22*u**2 - 170.\nAnswer: -2*u*(u - 5)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.46 + -1.6. Let d = -2.76 + p. Let n = d + 3. What is the nearest to n in 2\/15, 4, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4*a - 107. Let z be o(-23). Let b be ((-2)\/z)\/((22\/(-99))\/(-1)). Let -b*q**3 + 0*q**2 + 6\/5 + 9\/5*q = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of 2*o**4 + o + 3. Let p(y) = 49*y**2 - 105*y**2 + 53*y**2. Determine p(s(w)).\nAnswer: -1728*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-114)\/(-570) - 4247\/(-274)*(-4)\/210.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of 5*d**3 - 35*d**2 + d + 4. List the prime factors of h(14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*t + 1)*(4*t**2 - 565 + 565) - 5*t**3 + 1 - 1 + (0 + t**2 + 0)*(-4*t + 4*t + t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 44 = 5*b, -3*b - 2 = -4*b + 3*x. Let p(u) = 6 - 7*u**2 + 11 - 16 + 5 - u**3. Calculate p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40294795 is divided by 1082?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 7*h**2 + h - 5. Let t(q) = 60*q**2 + 8*q - 40. Let f(d) = 8*r(d) - t(d). Let j(o) = -301*o**2. Calculate j(f(v)).\nAnswer: -4816*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 106725966 and 1734?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2. Let d(r) = -22*r**2 + 142647 - 142647 + r. Calculate y(d(i)).\nAnswer: -484*i**4 + 44*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*b**2 + b - 23 wrt b?\nAnswer: 20*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.918 + 1.195. What is z rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*s = 125*s + 24. Let j be (-282)\/s*12\/2. Suppose 3*z = -4*v + j, 2*z - v = 7*z - 235. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 0 + 3*t - 1\/6*t**3 - 3*t**2. Let l = -5764 - -5758. Calculate g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*o + 2*b - 6 = 0, o - 3*b = -1. Suppose r + o*s - 312 = 0, 3*r + r = -3*s + 1248. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9873 and 42783?\nAnswer: 128349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 126 = 4*r - 0*k, r - 4*k = 49. Let s(n) = -8*n**2 + 6*n**3 - r - 13 + 5*n**3 - 10*n**3 - 2*n. What are the prime factors of s(10)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-5 + (-4 - (2 - 5))) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.8?  (a) -0.2  (b) 3  (c) 5  (d) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -28. Let p = 6 + -13\/2. What is the biggest value in -1, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z + z - 2*z + z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7351\/8 - 507031\/552. What is the common denominator of (5\/2)\/(4 - 140\/34) and a?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027083073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -203 + 204. Which is smaller: -1\/130 or r?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u - 3. Let z be c(8). Let r be 120\/(-9) - (-14)\/(-21). Let d = r - -15. Solve 2*w + z = d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 2 + 18. Let s be -1 - (u - (-7 - -4)). Let g(o) = -1040000*o**3 - 3*o**2 + o + 2. Let k be g(s). Round k to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2323 (base 8) to base 15\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 20, -12 = -2*j - 5*t + 18. Let o(q) = -2 + 25*q - j + 5 - 2. Let d be o(-4). Round d to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37\/3 + 13. Put 2, c, 4\/7 in descending order.\nAnswer: 2, c, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 4, 0, -4, -16\/11, 0.022?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2808 and 4824.\nAnswer: 188136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*g + 90 + 70, 0 = -5*b + 4*g + 331. What is the remainder when 232 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -14*d**2 + 15*d - 1. Let b(n) = -16*n**2 + 17*n - 3. Let q(a) = 6*b(a) - 7*c(a). Give q(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 16 - 4 = 0. Suppose -4 = 3*d - u*d. Suppose d = 3*b - 5*b. Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 175, 213, 313, 505, 819?\n\"Answer: 5*i**3 + i**2 + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -v + 2 + 0*v**3 + 4*v**3 - 2*v**2 + v**3 + 4*v in the form t + y*v + d*v**3 + k*v**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/7, -2\/13, -18, 0 in increasing order.\nAnswer: -18, -2\/13, 0, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - a + 23, l + 0*l = 3*a + 11. Let v(b) = -12863 - 3*b + 6435 + b**2 + 6422. Determine v(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.49506359 * 4\nAnswer: 5.98025436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 26, 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -8244*u**3 - 4 + 8252*u**3 + 41*u + 6 as k*u**3 + c + n*u**2 + w*u and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39 - -42. Suppose -w = -f*g + 14489, 5*g - 6923 = 4*w + 17216. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1022\/(-20951) - 158\/123?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 - -1)*1*(-28)\/6. Let z(o) be the first derivative of -3 + o**2 - 13*o + q*o**2 - 11*o - 15. What is the derivative of z(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 98277.53 nanoseconds to seconds.\nAnswer: 0.00009827753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -494*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 11825*d - 3358297. Calculate f(284).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -1. Let z(b) = 3*b + 7. Let y(c) = 21*u(c) + 3*z(c). Let l(d) = d**2. Calculate y(l(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7228.3 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*h**4 + 6*h - 6*h + 5*h**4 + 13 with respect to h.\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 0.2, 2\/63, 5?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 - 3*x + 3*x + (x + 3 - 3)*(2*x - 2*x + x) + 0*x + x**2 + 0*x - 6578*x + 13150*x - 6442*x - 8*x**2 - 4 to h*x + i + t*x**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 217442172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 35*g**3 - 32*g**2 - g - 6. Let m be o(6). Round m to the nearest 100.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 7f3?\nAnswer: 7f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbjjbbk. Give prob of picking 1 k, 2 j, and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -100 + 102. Solve -u*p - 5 = -5*p - 4*o, -4*p - o - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -1121*s**7\/42 + 200*s**3 + 600*s. What is the second derivative of m(z) wrt z?\nAnswer: -22420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -205*l + 202*l + 21, 0 = 3*l + 3 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1927729, 1927703, 1927677?\n\"Answer: -26*j + 1927755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000103 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/10 in 1, -0.000116, -5, 3\/8?\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 49698359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -10*i**4 - 47*i**2 + 6. Let k(y) = 9*y**4 + 46*y**2 - 5. Let o(x) = -6*k(x) - 5*l(x). Find the third derivative of o(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115852 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5175933218, 5175933217, 5175933216?\nAnswer: 5175933215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 6:26 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16586 is divided by 1289?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 4*o. Let x(g) be the third derivative of -3*g**5\/20 + 23*g**2. Calculate l(x(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -277\/6 and -4913 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddddvvddddvdddgddd.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/((-48)\/(-12))*5\/(20\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(179\/3580)\/((-3)\/(-5))*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 - r - 2. Suppose 4*p = -3*h - 11, -10 = p + p. Let d be k(h). What is the nearest to d in -0.3, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = -f. Which is the biggest value?  (a) 2  (b) 3\/5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(616\/(-42))*1\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f*j*t*x**2 - f*j*x**2 - 4*f*j + 9*f*t - 6*j*t + 8*j with respect to t.\nAnswer: -f*j*x**2 + 9*f - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000087526741 to 6 decimal places.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65874?\nAnswer: 2, 3, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7614 divided by 7614\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 173\/3 + 1\/3. Suppose -u + 10 = -4*d. Let n = 14 - d. Solve -n*j = -j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 164 and 10004?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5245353487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*j - u - 8, 7 = -2*j + 4*u + 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*f**2 + 424*f**2 - 140*f**2 - 137*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 912\/152 - ((-21)\/(-28))\/((-6)\/(-116))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47679.\nAnswer: 3, 23, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39\/2 + -113\/6. Factor -1\/3*z**2 + c + 1\/3*z.\nAnswer: -(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (108\/8)\/(-3)*-2. Let t(l) = -l - l + 0*l + o*l. Let a(s) = -5660*s + 5660*s + 2*s**2. Determine a(t(j)).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s + 12 = -6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154765 is divided by 109.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 1.4. Let f = 0.6 + q. Which is the third biggest value?  (a) -4  (b) 0.3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -187\/180 and 139\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 1\/4  (b) 2\/7  (c) -0.5  (d) 50  (e) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 244400 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25\/28 + -3\/4. Suppose 3*h = -2*u - 7, 4*h - u = 5*h + 4. Let k be -1 + -3 + h + 1. What is the second smallest value in w, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.5 + 7.505. Let t = i - -0.095. Which is smaller: t or 2\/77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -8. Let h = 12.4 - 12. What is the third smallest value in g, h, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -612*a - 77 = -625*a + 53 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2569 + 18599 = 14*f. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-10))\/((-2 - 0)*(-6 + (-448)\/(-70))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 6*j + 7. Let t be p(-6). Let h = t - 4. Suppose 0 = -h*g + l + 5, 2*l + 2*l = 16. What is the remainder when 4 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5557 + -22.4.\nAnswer: -5579.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-58 - 1) - 7 - (-5 - -4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v + 300 = -15*v - 27*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y**2 + 23*y + 20. Let g be v(-5). What is the nearest to 1 in g, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -42, -51, -60, -69, -78, -87?\n\"Answer: -9*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*b - 2*b - 2*b + (-b + 2*b - 2*b)*(0 - 1 + 0) - 6 - 4*b + 5 + 2*b.\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -401.101 - -401. Round d to three dps.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1061 + -1070. Let t(p) be the third derivative of -p**5\/60 - 7*p**4\/24 - p**3 + 5*p**2. Give t(d).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 331092 and 57887?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2050*k - 93 = -2046*k - 5*m, 3*k - 5*m = -66 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + ((sqrt(1100) - ((0 + sqrt(1100) + sqrt(1100) - sqrt(1100)) + 5))*5 + 0 + 5)**2 + -4.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 20 = -v, 0*v + 4*v + 2*q - 14 = 0. Let n(x) = 0*x + 4 + 3*x + v*x + 0*x - x**2. Let y be n(8). Solve 0 = 2*s + 5*i - 12, s - 7 = 2*s - y*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 892\/1295 + -26\/35. Let a = v + -107\/74. Let h be ((-21)\/8)\/(0 - 21\/28). What is the fourth smallest value in -1\/3, h, a, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -p + 1, 4*c + 2 = 2*p - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j = -41*j + 13*j + 45. Solve -a = a - 4*q + 12, 0 = 4*a + j*q - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 56, 42, 14, -34, -108?\n\"Answer: -l**3 - l**2 - 4*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99 divided by -278.\nAnswer: -99\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -67, 154, -3, -71 in descending order.\nAnswer: 154, -3, -67, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 485.803 + -486. Let i = -0.097 - j. Let u(q) = -q**3 + 5*q**2 + 7*q - 7. Let m be u(6). Which is the second biggest value?  (a) m  (b) i  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112 (base 3) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9381\/4 + -2326. What is the common denominator of -125\/6 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.462533ug in grams?\nAnswer: 0.000002462533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 - c + 1. Let t(u) = -u**3 + u + 4. Let y(k) = l(k) - t(k). Let x be y(3). What is the tens digit of (60\/x)\/(6\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*z**3 - 456*z**2 + 15796*z - 15336 = 0. What is z?\nAnswer: -142, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 370899 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -54289, -54288, -54287, -54286, -54285, -54284?\n\"Answer: u - 54290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 373*i**2 + 19*i - 55. Is c(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -80892 from -1202299.\nAnswer: -1121407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**6\/16 + 141*a**5\/40 - 1857*a**4\/32 + 1585*a**3\/8 - 561*a**2\/2 + 363*a\/2 + 206. Factor z(b).\nAnswer: -3*(b - 22)**2*(b - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hkhh when four letters picked without replacement from {x: 5, h: 6, k: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(1700)*5 + 5*sqrt(272) + 5.\nAnswer: -80*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -56, -359, -1164, -2723, -5288?\n\"Answer: -42*t**3 + t**2 - 12*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44868 - 44869. Let m(c) = -6. Let w(s) = -5. Let o(z) = -4*m(z) + 5*w(z). Let n(q) = q. What is g*n(x) + o(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -9*g**3 + 3*g**2 + 2*g. Give x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 13 and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + 10 + (-16 - 33) + -14.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/(-12)*8 + (-1)\/(-3). Let f(n) = -1466666*n + 6. Let j be f(o). What is j rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 + -2. Suppose 2*d - 5*x = 3*d - c, 3*x = 5*d - 24. Let q(w) = -w**3 - 19*w**2 - 23*w - 74. What is the lowest common multiple of d and q(-18)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 0. Let v = -0.13 - -1.33. Let r = v + -0.8. Sort 1\/6, r, g in decreasing order.\nAnswer: g, r, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/3 + 211*x\/3 - 106\/3.\nAnswer: (x + 106)*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j - 3 + 3 + (-j + 4*j + 0*j)*((0 - 1 + 0)*(0 + 1 - 4) + 0 + 2 - 1))*(57*j**2 + 88 - 232 - 58*j**2) to the form x*j + q*j**3 + z + k*j**2 and give x.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k**2 + 5*k + 4. Let o be h(-4). Suppose 0 = 3*f - 221*z + 225*z - 732, -3*f = -z - 777. What is the highest common divisor of f and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -1  (c) -23  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b656 + -29?\nAnswer: b62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22041)\/(-12245)*2\/(-3)*(-75)\/(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 14*d + 13. Let u(v) = 6 + 46*v + 56*v - 96*v. Let l(b) = -6*q(b) + 13*u(b). Let j(i) = 40*i. Give l(j(z)).\nAnswer: -240*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161*a**2 - 101*a**2 - 168*a**2.\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -164\/23 - 97\/138. Let n = -317 + 6973\/22. Calculate the common denominator of f and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z\/z**(2\/3))*z**(-2\/13)*z**1*z**(1\/2)*z*z*(z*z*z\/(z**(-1\/8)\/z)*z*z*z*z*z**0\/z)**(-1\/27) assuming z is positive.\nAnswer: z**(3509\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(2\/(-144)*-3). Suppose -2*o - 52 = -2*c + 2*o, 2*c - d = -3*o. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1069\/7 + -153. What is the third biggest value in 9, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 0.2. Let d = -0.05 + -1.95. Let h = 2 + d. Is h greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06826 * 3.\nAnswer: -0.20478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 4:57 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in 0.4, -1, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 1. Let d(f) = 2187*f**4 - 2913*f**3 - 2592*f**2 - 624*f - 45. Let h(i) = d(i) + 3*v(i). Let h(n) = 0. What is n?\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y - 1007330 = 2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((16\/64)\/((-7)\/(-4)))\/(-2*(-32)\/2464).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d + 10. Calculate p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 7*k + 7 - 1 = -3*k, -2 = -2*l + 5*k - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 0 - (8 + (12 - (6 - -4))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68056 and 5068.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 80947 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7083688 divided by -1770922?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 89144 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 770791, 1541680, 2312569, 3083458, 3854347, 4625236?\nAnswer: 5396125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.72 + -2.1. Which is the nearest to -2\/7?  (a) -0.3  (b) -4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*h**2 - 7*h**2 + 11*h**4)*(-3 - 2*h + 3).\nAnswer: -22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o**(-2\/3)*o))**(-2\/141)*o\/(o*(o*o**(-3\/4))\/o)*o**(-2\/19) assuming o is positive.\nAnswer: o**(19967\/32148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of -89*i**6\/2 - 1529*i**2 + 287*i + 4. Differentiate n(v) with respect to v.\nAnswer: -5340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 20490739\nAnswer: -61472217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 536643.\nAnswer: 3, 59627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/31 in 5, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 110716972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 bigger than 48\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (3819\/(-67))\/((-6)\/82) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 12 = -4*q - 8*h, 5*h = q + 20. Suppose 20*a - 5*a + 11625 = q. What is the units digit of a\/(-20) - (-15)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 4:15 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 467124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*j + 110*j = 137. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4488 divided by 44?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 62*o - 90*o + 20*o - 15*o + 59*o**3.\nAnswer: 59*o**3 - 147*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 3 + 8)*(-7 + 7 + 4*g) in the form v*g + j and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 6:39 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 33 = 58 - 29, 0 = 245*f + 3*a - 9549 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: a1d55 (base 16) to base 2\nAnswer: 10100001110101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/i**(-7)*i)\/i)\/i**(-2\/7))\/((i\/(i**8*i))\/((((i\/(((i**(-2\/3)\/i)\/i)\/i))\/i*i)\/i)\/i*i))*(i**0\/i**(-1))**42 assuming i is positive.\nAnswer: i**(1322\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 + 17 = 5*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u + 13090. Let w(a) = -6*a. Give p(w(j)).\nAnswer: 18*j + 13090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 9) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from axzzaazzxaaxzaarzrr. What is prob of picking 1 a and 3 x?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 181120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-10)\/(9 + -19))\/((-2)\/(-20)). Suppose -3*l = 2*l. Solve -5*u + l = y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1. Let h = 245 + -237. Let i(m) = h - 10 + 365*m**2 - 364*m**2. Determine i(c) + 2*x(c).\nAnswer: c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -74575203 rounded to the nearest one million?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)*-5*4 + -4*(sqrt(153) + 2).\nAnswer: -72*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + -9. Let r be u\/(-14)*10\/3. Suppose -4*m + 657 + 690 = -d, 0 = -r*m + 3*d + 1682. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*a + 1513 = -115 - 242 - 704 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 8*p**2 - 1. Suppose l = 0, -l + 3 = 3*w + 2*l. Let b be (-1 + 0)*(w - 0). Calculate z(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 13 - 53 = 0. Suppose c - 134 = -7*l. Calculate the remainder when l is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 6*x**2 - 5*x + 2. Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 244 + 16. Suppose r + 17*r = 44*r - 1248. Calculate the smallest common multiple of r and v.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 0.05  (c) -1\/4  (d) -1\/5  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 333\/405 - (-4)\/(-18). Let q(f) = f + 8. Let o be q(-6). Suppose -5*j + o*t = -0*j, t = j. Is g less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 543096356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -4. Calculate the least common multiple of 12 and (10 - a\/1) + 1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 5:31 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00266262677 to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.1 + -0.1. Let r = 10.9 - x. Let m = -301\/8 - -38. What is the closest to r in -1, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1864 + -1861. Let h(p) = -5*p + 8. Determine h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/25  (b) 0.2  (c) 57  (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/1975553 and 27\/13430.\nAnswer: 19755530","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1*sqrt(4131) + sqrt(4131)))\/(-4*2*sqrt(3)*1).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1050)\/84*(-18)\/(-4)*224\/(-1960)?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 245 (base 8) in base 14?\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of ((-19 + 1907)\/(-16))\/(2\/(-958))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35120 + -35119. What is the nearest to 2\/7 in -2, p, 133, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5152\/184*(-38)\/(-16)*12\/(-21)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/5, -1, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1 and 93090751925746.\nAnswer: 93090751925745.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.7 in 2, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 2*a. Solve -2*y + 4 = -a*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 6*i - 7*i. Let x be (-12)\/16*(-72)\/i. Let o = x - -147. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -93 - -143. Let r = 49 - k. Which is the third biggest value?  (a) 0.2  (b) 0.067  (c) 0  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**3 + 66*o**2 + 67*o + 18. Let z be q(34). Are -21 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of 0*x - 3*x + 3*x - 69*x**2 + 4. Let d(l) = -l. Give d(f(q)).\nAnswer: 138*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1008 divided by -504.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = 3*n + m, 0*m + m + 91 = -4*n. Let g be (11\/n)\/(1\/(-120)). Calculate the greatest common divisor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bppkp. What is prob of picking 1 k, 2 p, and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y - 8. Let f be r(11). Suppose f*a = a + 8, 2*a + 2 = -5*l. Let p = l - -8. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 0 = -p - 2, -4*f + 2*p = -4. Let m be 44 - 2*(f + 2). What is the third derivative of 22*v**3 + 38*v**3 + 14*v**2 - m*v**3 wrt v?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 + (-10)\/(-2) + 3. Let z(i) = -2*i - 12*i - 13 + 0*i - i. Let t(g) = -8*g - 7. Let c = 1 + -7. Give a*t(l) + c*z(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -17*d**4\/4 - 13*d**2\/2 + 34. What is the second derivative of l(x) wrt x?\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -6*k**2 - 18*k - 5. Let z be h(-3). Which is the third smallest value?  (a) 5  (b) z  (c) 1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, a: 1, p: 2, l: 1, b: 1, o: 1}. Give prob of sequence kbla.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 23399710*v + 41950. Let s(x) = -8366*x - 15. Determine -6*q(n) - 16780*s(n).\nAnswer: -16780*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 37*l**2 + 53*l + 220. Let v be f(-37). Round v to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14027, 21186, 28359, 35552, 42771?\n\"Answer: x**3 + x**2 + 7149*x + 6876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 7527*v + 1798947. Determine m(-239).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/1320 and -9\/1100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 17*n - 39. Let b(t) = t**2 + 5*t - 3. Let r be b(2). What is the remainder when 78 is divided by c(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r*u**3 - 19897*r*u**2 + 2156*u**3 wrt u.\nAnswer: 6*r + 12936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 78*q**2 + q - 1. Let s be o(1). Suppose 2*z = 4*f + 36, -2*f = -5*z + 2*f + s. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 10*w**2 + 11*w + 10. Let l = -5 + -6. Let z be s(l). Let i = z - 3. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -51.98 + 0.98. Let r = 101323438.9999922 + -101323490. Let x = r - b. Round x to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 298 = 8*t + 262 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1200 - -1812. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a (base 12) to base 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85 + 96 - 271 + 90 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 2160 = -2*r. Let d be (-5)\/18*1926\/r. Let o = -10\/27 - d. Calculate the common denominator of 9\/80 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**3\/2 - 563*i**2 - 86845*i\/2 - 408859 = 0.\nAnswer: -62, -11, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/25  (b) 4  (c) 3  (d) -35\/22  (e) 1  (f) 128\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 11175?\nAnswer: 1\/3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001 (base 2) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4441, 8887, 13333, 17779?\n\"Answer: 4446*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -1 - 2 + 3 - l. Does 4 divide f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -532*m - 536*m + 184 + 1070*m. What is the tens digit of o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2337 - -2336.998777. What is u rounded to five dps?\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20874322 by 6.\nAnswer: 10437161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -12061.\nAnswer: -12061, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 188, 171, 154?\n\"Answer: -17*o + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*z**5 - 964061*z**4 + 14671238*z**2 wrt z.\nAnswer: -120*z**2 - 23137464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 + -8. Is 4 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 5:18 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 5:05 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 208 divided by 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35193 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3401042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) 12\/29  (c) -0.4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 7:01 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0 + (-19)\/(152\/(-17648))?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -167*m**2 + 1. Let o be r(-1). What is the common denominator of 7\/(-14) + o\/16 and 33\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2943455032 to the power of 1\/3, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 - 9*a - 7. Let m be d(5). Let o be ((-338)\/(-65))\/(m\/(-5)). Suppose -20 = o*y - 15*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -4*z - z + 21 - 23 - 3*z. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252 = -59*r + 77*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/(-60) + (-7)\/4. Suppose -5 + 0 = -5*k - 4*f, 0 = -3*k + 4*f + 35. Let p = r + k. Solve -2*y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-4) + (93\/12 - 6). Put 1\/8, l, 1\/27, -2 in ascending order.\nAnswer: -2, 1\/27, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4308930 and 7350.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 9*c - 3 + 4*c)*(5*c - 4*c + 0*c).\nAnswer: -5*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 9014 and 9044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/9  (b) 2\/5  (c) -5  (d) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6309*l - 2481 = -6218*l - 9397 for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2505 + 4?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9 + c0?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 (base 5) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5897282*j**3 + 13269464 wrt j.\nAnswer: 17691846*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 + 2*a - 2. Let l be f(2). Let p be 4 + (-5 - -3)*1. Let x = l + p. Solve 0 = -x*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35420*v + 21278*v + 24723*v - 32285*v + 61502*v.\nAnswer: 110638*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -35 - 129*v**2 + 253*v**2 - 125*v**2 - 27*v. Let m be c(-24). What is the highest common factor of m and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + 24 = 4*h + 2*q, 0 = -9071*h + 9072*h + q - 5 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzp when three letters picked without replacement from zdpzddgcpqdq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u - 1. Let q(i) = -3. Let b(v) = 2*n(v) - q(v). Let a(m) = -11*m - 4. Let o(d) = a(d) + 5*b(d). Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*s**4 - 1\/3*s**5 - 1\/3*s**2 + 0*s + 0 + 1\/3*s**3.\nAnswer: -s**2*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 7*s + 34 = 2*r, 2*r = 10. Let b(p) = -2*p**2 + 3*p. Let d(f) = 4*f**2 - 6*f. Let o(y) = s*d(y) + 10*b(y). Let c(v) = v. Give 6*c(t) + o(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 3 = 4*u - 12, -5*h + 15 = 5*u. Suppose -p + 2 = -3*d, u = 3*p - 3*d + 6*d - 42. Solve n = 4*b - p, n - 3*n + 4*b = 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, p: 4, b: 3}. What is prob of sequence pp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 99.954 years?\nAnswer: 9.9954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.31049 and 0.05948.\nAnswer: -0.0184679452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 374081413.\nAnswer: 17, 47, 468187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 235 + 246 - 109768*b - 106 - b**2 + 109768*b.\nAnswer: -b**2 + 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119571802.\nAnswer: 2, 7, 23, 371341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10875718*n**2*p**3 + n**2*p**2 - 131*n*p**2 - 52696*n wrt p.\nAnswer: 65254308*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = -5*r - 9. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 8:01 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17 and 1998.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 116\/11?  (a) -0.5  (b) -3  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 28b - 90b9?\nAnswer: -8b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -7*i + 2*o, 0 = 166*o - 165*o + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-125)\/((-10250)\/(-2296))*27\/(-12)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-6)*(-7 + 10). Let o be 2 + g\/(2 + 2). Suppose -o*h - 2*h + 400 = 5*q, 4*h - 320 = 3*q. What is the highest common factor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*z = 31, -2*v + 3*z = 2*v - 14. Suppose v*f = 5*c - 35, -4*c + f + 15 = -2*c. Find the first derivative of -2*k + c + 6*k + 16*k wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 4*h. Let n(c) = 35*c**2 + 2*c. Let f(u) = u**2 - u. Suppose -9*p + 2*m + 2 = -7*p, 5*p + 3*m - 13 = 0. Let s(v) = p*f(v) + n(v). Determine b(s(z)).\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1425 - -1424. Put k, 2, -5, 63 in ascending order.\nAnswer: -5, k, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, v: 8, w: 4, l: 3}. What is prob of picking 1 w, 1 z, and 1 l?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 74149698 divided by -3?\nAnswer: -24716566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4*n + 189886 = 3*k, 5*k - 474675 = 2*n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 618743 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h**2 + 2*h**2 - 13*h**2)*(-5*h**2 + 5*h**2 + 2*h**2) + 160*h - h**3 + h**4 - h**3 - 90*h.\nAnswer: -27*h**4 - 2*h**3 + 70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 202\/(-404) + (1943\/2 - -1). Round d to the nearest ten.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*m = 8, 2*p + p = -3*m + 39. What is the smallest common multiple of ((-160)\/280)\/((-2)\/(-7)) - -32 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*z - 4*i = 39*z - 75*z + 42, -4*z + 34 = 2*i for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/9 and (-147)\/(-196) + ((-121)\/28 - 1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 2*q - 3*c, -4*q + 3*c = 3. Suppose 11 = 2*m - q. Suppose 0 = 5*i + 10, -m = 3*o + 3*i + 2. What is the nearest to o in -4, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 191 - 100. Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -377, -756, -1135, -1514?\n\"Answer: -379*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 13, 16, 19, 22, 25?\n\"Answer: 3*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 4:19 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of p**2 + 2. Let r(j) = 2 + 4*j + 5 - 7. Calculate r(i(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.4892615 tonnes?\nAnswer: 489.2615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1343.1*177.\nAnswer: 237728.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 64.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1063b9 (base 12) to base 4\nAnswer: 333122331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 89201149, 89201153, 89201157, 89201161?\n\"Answer: 4*x + 89201145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35706 = 72*t - 606954. Is t greater than 7935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 760 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a - 127. Let b be l(44). Suppose -b*d - 4920 = -5*n, n - 3*n + 1968 = 2*d. Is 82 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -31\/20*p**5 - 3\/28*p**7 - 2*p**4 - 19\/30*p**6 + 0 - 31*p - 17\/12*p**3 - 1\/2*p**2. Factor t(r).\nAnswer: -(r + 1)**4*(9*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -609 + 1142. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1070, -2139, -3204, -4265?\n\"Answer: 2*c**2 - 1075*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30*-1*((-370)\/50 - -7). Calculate the highest common factor of d and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 - 14*w**2 - w - 11. Let g be q(-14). Solve -3*c - 24 = 3*j, -g*j = c + 5 + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 129 = -4*u, -43 = -5*u + i + 107. Let p = -45 + u. What is the common denominator of 2\/(p\/(-3))*44\/8 and 79\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(11) + -1 + -3)**2 + (0 + sqrt(11))*-6.\nAnswer: -22*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of x**5\/150 - x**4\/90 - 10*x. Solve p(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -979, -5, -8.6 in decreasing order.\nAnswer: -5, -8, -8.6, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 10 + u**3 + u**2 - 7*u**2 - 2*u**2 + 7*u. Let b(j) = 2*j**2 + 14*j - 9. Let z be (0 - 6\/15)\/(2\/40). Let f be b(z). What is y(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30131 + 1312230?\nAnswer: 2003021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -307219 + 611346. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 0*o - 5*o + 8*o + 2. Let q = 19 - 21. Let m be n(q). Sort -5, m, -8 in descending order.\nAnswer: m, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-1\/20)*m)\/m**(-2\/9))\/(m**6\/m)**(-16) assuming m is positive.\nAnswer: m**(14791\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -506 + -12960?\nAnswer: -13466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 8*p**2 - 3*p - 3. Let o(k) = 2*k**3 + 17*k**2 - 7*k - 7. Suppose 243*x - 247*x = 3*m + 74, 5*m = -5*x - 110. Determine m*t(q) + 6*o(q).\nAnswer: -2*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 646756 and 14699?\nAnswer: 646756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -229, -230, -231, -232, -233?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/28*105\/30.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 48 + 43 + 43 + 49 - 181 + 5504*j as u*j + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -59\/19087 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3 = 7. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 7:55 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/(sqrt(220)\/sqrt(11)) + sqrt(110)\/(-2*sqrt(160) + sqrt(10)))**2.\nAnswer: 275\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 173436 divided by -57812\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1865.778 litres?\nAnswer: 1865778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 341, 2, 5, -3, -4\/9 in descending order.\nAnswer: 341, 5, 2, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.543 + -1.46. Let c = n - -8.717. Let v = c - 8.94. Is v less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0056118 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -3*d - 10. Suppose 2*o + 3*z = -19, -5*z = 9 + 6. Let x be y(o). Suppose -2*r + 69 = x*c, 4*r = c - 0*c + 127. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1282376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 524*v = -8861 + 8871 + 20950 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 - 3*x - 180.\nAnswer: (x - 15)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 462\/(-98) + 646\/170 + 2\/10.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**3\/5 - 956*x**2\/5 + 8338*x\/5 + 48776\/5 = 0. What is x?\nAnswer: -4, 13, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/2*80\/30. Suppose u = -4*f, 3*g - f = 5*g - 33. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f**2 - 3065493*f + 7920469 wrt f.\nAnswer: -4*f - 3065493","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is -12.66 rounded to 1 decimal place?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-4)*6*7\/(-840)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-2))\/(1\/4). Suppose -5 = 5*s + 5. What are the prime factors of (m\/12)\/(s\/68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 8*j**2 - 7*j + 4. Let z be a(-7). Let y be (-5)\/(-12) + (-1)\/(-3). Let l = -730\/91 + 108\/13. Put l, z, y in increasing order.\nAnswer: l, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-8 - (2 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + 23. Let l = 29.2 - k. Which is greater: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*j + 4*j**3 - 19*j**4 + 11*j**4 + j**3 - 4*j**3 to b + f*j**3 + l*j**4 + m*j**2 + t*j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55466650 divided by 1109333.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -m + 3*m. Let d be (-6)\/4 + 5\/10. What are the prime factors of 3\/(d - m\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/((-4)\/8 - -2). Differentiate -7 + 3*a - 3*a + f*a**3 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4170911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4132 times -0.2?\nAnswer: 826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 9:42 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/1170 and 61\/60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nswb when four letters picked without replacement from {b: 2, w: 1, n: 1, p: 2, j: 2, s: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/7)*x)\/x*x**(-5\/2) assuming x is positive.\nAnswer: x**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 472926676.\nAnswer: 472926681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -103, -520, -937?\n\"Answer: -417*m + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/252 and 119\/8208?\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6437159*w = -6437426*w - 9612 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7 and -2261279?\nAnswer: 2261286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + sqrt(931))**2 + -1.\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + (-2 - -1))\/(42\/(-21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/44 and 45\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0036196 rounded to five dps?\nAnswer: -0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y**2. Suppose 82*u = 111 + 381. Let p(n) = -60*n**2. What is u*p(l) + 88*v(l)?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 139 = 4*o - 323, 487 = -3*i - o. Which is the biggest value?  (a) i  (b) 3  (c) 0.4  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**3 - 2*i**2 - 2*i + 3. Calculate the remainder when 41 is divided by t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1352167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 6) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v**5 - 196*v**4 - 759*v**3 - 844*v**2 - 140*v = 0. What is v?\nAnswer: -35, -2, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -162923686*j**2 - 151535347 wrt j.\nAnswer: -325847372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 17 = 3*b. Sort 5, b, 0, 4.\nAnswer: b, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-114)\/(-27) + (-2)\/9. Let t = -159 - -107. Let m = -47 - t. Which is the third smallest value?  (a) m  (b) 0.5  (c) -1\/3  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -330683 - -6?\nAnswer: -330676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, c: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/28 - (-278600004)\/(-14). Round d to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -40443, -60320, -93441, -139800, -199391?\n\"Answer: x**3 - 6628*x**2 - 33816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 + 4)*(3\/(-1) - -3). Let b = -11 - -16. Suppose q = -v + 3*f + 37, b*v - 2*f - 123 = 114. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*2\/12*9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*g - 8. Suppose g*t - 90 = 3*j, -47 + 13 = -2*t - 4*j. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -2 - 72\/(45360\/2790)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 23 in decreasing order.\nAnswer: 23, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*p**2 + 69*p**2 + 40*p**2)*(0 - 5 + 2) + 0 + 0 + 3*p**2 in the form a*p + t*p**2 + y and give t.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, y: 3, j: 3}. Give prob of sequence xyj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 174 + 105. Let g = -167 + x. Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of o**5\/20 + o**4\/12 - o**2\/2 - 2*o. Let a be d(-1). Which is greater: -3\/7 or a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 9:12 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**2\/7 - 6*h\/7 + 3\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1401 - 1373 - (87 + -1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + o + l - 831583, -o = 2*l + 831598. Let z = -98412 + o. Round z to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21720 by 4344.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*r**2 - 40*r**2 - 14*r**2)*(892*r - 420*r - 298*r).\nAnswer: -5742*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/224)\/(9\/(-6))*220\/(-165)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 95 - (-21 + 23 + (2 - (14 - -7)) + 6)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17625?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -6*i. List the prime factors of (i + -1)\/(13\/(-351)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a**2 + 2*a**2 + 5*a**2)*(2 - 2 + 2 + (-6 + 1 + 3)*(0 + 6 - 2)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, d: 5, e: 2, i: 3}. Give prob of sequence de.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -94\nAnswer: 5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 103688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 118891099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 387221 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -217, -4, 3, 8, -2 in descending order.\nAnswer: 8, 3, -2, -4, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/3)*o**(-2\/19))\/(o**10*o*o*o\/(o\/o**(3\/14))*o*o) assuming o is positive.\nAnswer: o**(-10895\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -188 - -612. Let a = 753 - n. What are the prime factors of a?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1836617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -40, -75, -110, -145, -180?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-36)\/(-1))\/6)\/((-3111)\/(-61))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45 + -39.1. Let c = 6 - i. Let k = c + 0.4. Put 1, k, 5 in ascending order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 5. Let z be 1 + 3\/((-3)\/m). Let b(t) = -t**3 - t**2 + 1. Let u(y) = -6 + 3*y**2 + 3*y**2 + 5*y**3 + 0*y**2. Calculate z*u(d) - 6*b(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31 and -242.525?\nAnswer: -7518.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - h + 1. Let j(k) be the first derivative of 2*k**3\/3 - 4*k**2 + 2*k - 9. Let c(b) = -j(b) + 3*w(b). Give c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnvnznfvnnfvnnnnvnn. What is prob of picking 1 f and 1 v?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4554052878 + -4554052854.61599611. Let m = k + -23.508003. Let j = 0.124 + m. Round j to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -90 - -117. Let v = x + -30. What is the biggest value in 0, v, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d**2. Let u(f) = 784*f + 3. Let q(z) = -1593*z - 7. Let t(a) = -2*q(a) - 5*u(a). Calculate c(t(h)).\nAnswer: -1077512*h**2 - 2936*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*t**2 + 86*t**2 - 239*t**2 + 74*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 719303859.\nAnswer: 3, 193, 414107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 385*b + 2. Let h(d) = -2502*d - 13. Let k(f) = -2*h(f) - 13*j(f). Let q(g) = -16*g**2 + 33*g**2 + 19*g**2. Give q(k(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 8)*(-5 + o + 5) + (o + 0*o + 2*o + (-3 + 3 + 2)*(-1 + 1 - 2*o) + 0 - 3*o + 0)*(-2 + 3 - 2 + (-1 + 3 + 0)*(-5 - 1 + 4)).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of -31*w**2 + 0*w**5 + 0*w**4 + 0*w + 17\/120*w**6 + 0 + 1\/6*w**3. What is the first derivative of c(y) wrt y?\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/12)\/((-2)\/3)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -15 + 15 - 35*a. Let s(u) = -2*u**2 + 528*u - 528*u. What is h(s(t))?\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -3. Suppose 3*t = i*t. Suppose t = 2*r + 2*g - 16, 0*r + 56 = 4*r - 2*g. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 7:36 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -4811*a + 4809*a - 13, -3*a - 2*u = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of 2*r**7\/315 - r**5\/15 - r**4\/9 + 21*r**2\/2 + 2*r. Let l(f) be the first derivative of u(f). Factor l(s).\nAnswer: 4*s*(s - 2)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 132 = 774. Suppose 92 + 394 = 9*w. What is the remainder when q is divided by w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -114 - -115. What is the units digit of (28 + -29)*h*-86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 8:37 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31 + -38. Let v = -7.1 - k. Let o = -0.0999944 - v. What is o rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 3*s - 37, 0 = -2*m - 5*s + 19 + 16. Suppose -47*b - b = -1920. Calculate the remainder when b is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 78 and 15954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1970, -7852, -17658, -31388?\nAnswer: -49042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, x: 7}. What is prob of sequence ux?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*q**3 + 6*q**2 + 2*q + 17 wrt q?\nAnswer: -66*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 0) + 35\/7. Let u be (-2 - -6)\/(x\/6). Suppose 0 = u*f - f - 40. Which is smaller: f or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1354 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 40\/103, 2\/35, 4?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/(-98))\/(9\/(189\/(-24))). Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 25 = 2*r, q - 1024*r - 10 = -1027*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 212817655 + -348.8.\nAnswer: 212817306.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -138\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -222017195 and 5?\nAnswer: -1110085975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f + 11. Let u(z) = z - 3. Let b(t) = 21*u(t) + 6*x(t). Let l(h) = 3*h + 1. Let c be l(-1). Determine b(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6358319.\nAnswer: 11, 578029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-1*(3*(5*sqrt(34)\/sqrt(2)*-6 - (1*(1 + sqrt(833)) - sqrt(833) - sqrt(833))))**2.\nAnswer: 414*sqrt(17) + 80946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/x**(-9)*x**(2\/5)*((x\/x**(-9))\/x)\/(x**(-7\/6)*x) assuming x is positive.\nAnswer: x**(617\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3595, 3502, 3347, 3130, 2851?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1626 - -1623. Let n(m) = 10*m**3 - 7*m**2 - 5*m. Let p(b) = 9*b**3 - 7*b**2 - 4*b + 1. Let a(j) = 3*n(j) - 4*p(j). Is a(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39296 + -3143617\/80. Calculate the common denominator of w and 95\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4267956\/(-1293320)*((-25)\/6 + 0)\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71550117857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 6*c**2 - 449658 + 13*c**2 + 449658 - 2*c**2. Let o(y) = 40*y. Give m(o(b)).\nAnswer: 27200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -58051.1 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u + 0*u - 3*u + (1 + 3 - 5 + (4 + 1 - 3)*(-3 - 1 + 2) - 2 + 1 - 1)*(8*u - 18*u - 32*u) + (1 + 0 + 1)*(-5*u - 3*u + 3*u).\nAnswer: 285*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53 - 54935984*a**2 + 54935984*a**2 + 2*a**3.\nAnswer: 2*a**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**3 - 2 + 4 + 3*z**2 - 4 + 3 as j*z + v + d*z**2 + f*z**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {o: 9, x: 2, u: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3, 8, 25, 60, 119, 208?\n\"Answer: f**3 - 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2413842007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(-4) + (-2)\/24*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -718, -717, -716, -715, -714?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/740145 and -46\/38955.\nAnswer: 740145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7366.098 weeks in seconds?\nAnswer: 4455016070.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 12 + (-8 - 42)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5313\/1265 + (3 - (-6)\/(-1)). Let n(w) be the first derivative of -32 + 1\/5*w**3 + i*w + 9\/10*w**2. Factor n(l).\nAnswer: 3*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1973 is divided by 777.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0)**3*(b*b**(-2\/3)*b)**(13\/2) assuming b is positive.\nAnswer: b**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + 2*g + (3*g + 0*g - g)*(-2 - 3 + 4) - 1 - 2*g + 1 + 16*g - 2*g - 2*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -9660047.841987?\nAnswer: 9660046.841987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 17 = 3*u, -u + 3 = -5*r - 2. Let i(p) = 4*p. Let j(x) = -2*x. Give r*i(c) - 5*j(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1230553?\nAnswer: 61, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-12)*(-192)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 57\/5, -3\/4 in decreasing order.\nAnswer: 57\/5, 1, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/(-14))\/3)\/(-36*11214\/(-31752))\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -10*r**2 - 32*r - 2. Let m(f) = -29*f**2 - 86*f - 5. Give 8*j(s) - 3*m(s).\nAnswer: 7*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004193852 rounded to 5 dps?\nAnswer: -0.00419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 60 - 1?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189 = 59*c - 31*c - 581 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + (0 - (-3 + -2)). Suppose -c - 8 = -s*c. Let p be (0 - 1)\/((-7)\/21). Solve p*o + 7 = c*z, z - 6 = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -435 + 441. Suppose 4680 = 4*m + l*m. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -8*q + 5. Let l be m(1). Let v = -6209\/230 - -798\/23. Calculate the common denominator of v and (54\/20*(-5 - 8))\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) -1  (b) 0.3  (c) -0.5  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.2?  (a) 1\/5  (b) -1\/4  (c) -5  (d) -2  (e) 0.3  (f) 102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - t**2 - t + 264. Let a be l(0). Suppose 2*p = -2*p + a. Let c = 102 - p. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 4.46. Let f = 3.46 + d. Which is the closest to 0.3?  (a) -4  (b) 0  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 4 + (10 - 16 - -34 - 11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/60 and -13\/383320.\nAnswer: 1149960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 541518413 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*c - 9 = 0, -9 = 2*o - 5*o - c. Suppose 0 = 5*u - 2 - o. Solve 3 = 2*d + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-154 + 6)*13\/2. Let w = 5669\/6 + t. Calculate the common denominator of w and 77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 587964 or 587963?\nAnswer: 587963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-57 - -166) + -138 - 37.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1267 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 8 + -4 + 2 + (-109 - -107).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 7 = w, 2*w = 3*s - s - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + sqrt(11) + -2 + -5)*-6 - (2 + 4*(1*sqrt(132)*-3 - sqrt(132))\/sqrt(12)).\nAnswer: -38 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 6*i - 46. Let a be x(9). Solve -a*z = -3*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1116 divided by 2.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -187 + 933\/5. Is b at least 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 102 - 96. Suppose 5*v + k = -v. Let b be 0 - (4 - (19 - v)). What is the greatest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8052 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 divided by -180?\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 56 = 3*g. Let b be 378\/(-22) + (-16)\/(-88). Let w = g + b. What is the least common multiple of 10 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 10*w - 168 + 42 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*(-22)\/(-271788)*-29.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/6)\/(-123*184\/(-2104776)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-231)*-22*2\/(-100)*7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (82\/44 - (1 - -8)\/(-18))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 35, -4\/5, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 9, o: 1, c: 3, x: 1}. What is prob of sequence otxt?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*i - 0*i - 103 + 33 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/11 + 861\/77. Suppose -f = 5*m - 36. Calculate the lowest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45630 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -60, 2, -9 in increasing order.\nAnswer: -60, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -54 - 765?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 9*u**2 - 72*u - 293. Calculate n(16).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 120031 and 176726.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of o**4\/4 - 3*o**3 + 9*o**2 - 28*o + 3292. Determine x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3130345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 855443480 and 3460.\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(35)\/sqrt(7)) + (sqrt(28) + 3)**2.\nAnswer: 13*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -67*t. Let f(v) = 314424*v. Give o(f(q)).\nAnswer: -21066408*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, 0.5, -4\/7, 0.2, -97, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*v + 422 = -548. Let g(u) = 5*u**2 - 18*u + 1. Let t(m) = -9*m**2 + 37*m - 2. What is v*g(w) - 3*t(w)?\nAnswer: 2*w**2 - 21*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -c + 3 + 2, 3*g - 20 = -4*c. Let b be -2 - -3 - -1 - -2. Put b, c, 3 in decreasing order.\nAnswer: c, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4189377 is divided by 3001?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270478?\nAnswer: 2, 13, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, b: 2, z: 1, m: 2, u: 1, y: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 142\/11 + -404\/33. Let t(w) = w + 1. Let r be t(4). Which is the smallest value?  (a) r  (b) z  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3936 and 32259784.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 84158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 11*d - 9. Let f be l(9). Suppose -2*g - 4*k = f - 33, -3*k = 2*g - 25. Calculate the highest common factor of 98 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -12, -13, -4, 15, 44, 83, 132?\n\"Answer: 5*d**2 - 16*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*f = 20. Let d be (-3 + f\/4)*-6. Let w(g) = -g**2 + 3. Determine w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6125*g**2 - 2100*g - 180.\nAnswer: -5*(35*g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z - 7. Let a be y(4). Let u be (a\/52)\/(2\/16). Let g(r) = 5*r + 12*r**u - 11*r - 3*r - 9. Let x(j) = -3*j**2 + 2*j + 2. What is 2*g(l) + 9*x(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -i*u*v**3 - 3*i*u*v - 1728*i*u - 163*i*v**2 + 2*v**3 wrt u.\nAnswer: -i*v**3 - 3*i*v - 1728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 473545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from naavrtvtrvrtvttrxa.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*s + 6 - 497 = 885 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 630.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 6, -340 in ascending order.\nAnswer: -340, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 8*v**3 + 2*v**2 - 4*v + 4. Does 17 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38687\/38 - 1018. Suppose -174 = 10*n - 4*n. Let c = -29 - n. Is y != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-14*2\/16 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-42))\/(2\/(-6)). Which is the biggest value?  (a) 1  (b) g  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l + 10. Let i be 8 - -1*(64\/(-8) + (-4 - -2)). Determine t(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*l - 761 - 10702 = 39*l - 87 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12653062 is divided by 4217632?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11 <= 369\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b - 1039?\nAnswer: -102b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 859559100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s = 20857 + 12065. What are the prime factors of s?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-36)*(39\/6 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2770775*b**3*t**3 + 169*b**3*t - t**2 + 689*t wrt t?\nAnswer: -16624650*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 55152 divided by -2298\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-7)*q)\/(q*q*q**(-6\/7)*q*q*q)*(q*q**(-12)\/q)\/((q\/(q*q**(2\/5))*q)\/q*q) assuming q is positive.\nAnswer: q**(-761\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j - 7. Let q be r(11). Let a be (8\/3 - 2)*q. Let l = -5 + a. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 191046125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -1072*v**3 + 6*v. Let g(w) = -27869*w**3 + 155*w. Calculate 155*a(i) - 6*g(i).\nAnswer: 1054*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-11)\/((1*-2)\/2). Let w(i) = -18 - 16 + 14*i**2 + 45 + 5*i. Let o(h) = 5*h**2 + 2*h + 4. What is q*o(c) - 4*w(c)?\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -332 + 556. Calculate the greatest common factor of z and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {t: 3, f: 5, a: 2, w: 1, u: 3, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 240*a**2 + 1 - 239*a**2 + 3*a**3 - 3*a**3 + a**3. Calculate z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -16, -13, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/2, -139, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 - -20. Solve 0 = -4*v - f*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1221210 (base 3) in base 2?\nAnswer: -10110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/28 + -4 + (-96)\/(-28)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6703 - -6708. Which is the biggest value?  (a) 0.5  (b) -97  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11264*x**4 - 11244*x**3 + 11284*x**2 + 11244*x - 20 = 0 for x.\nAnswer: -1, 5\/2816, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a*n*x + a*n*y + 8*a*x + a*y - 3*n*x*y + n*y - 2*x - 11 with respect to y.\nAnswer: a*n + a - 3*n*x + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - w = -2*w + 22, 5*p + 5*w + 10 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 12:25 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2687607.8 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 7. Let n(d) = -3*d - 51. Let v be n(-17). Let q(m) = 3 - m**2 - 3 + v - 2. What is q(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.8729 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.15 + 11.85. Let j = -811 - -794. Let i = q + j. Sort i, 0.52, 3 in decreasing order.\nAnswer: 3, 0.52, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 9*p**2 + 5*p - 10. Let g(k) = -k + 5. Let a be g(0). Suppose a*q + 40 = -0*q. Does 8 divide b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -237.641 + -0.359. Let h = 237.5 + w. Let u = 0.4 + 0.1. Which is the smallest value?  (a) h  (b) 1\/4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -179*g*p*z - 12*g*p - 7*g*z + 210*g + p*z - p + z wrt p.\nAnswer: -179*g*z - 12*g + z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/448 - (180\/1120)\/((-6)\/8)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8630159 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2314341*z**3 + 2545*z**2 + 342*z.\nAnswer: -13886046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 10, 2*x - g = -3*x + 2. Suppose x*i + 60 = 2*i + 5*d, 4*i - 144 = 2*d. Calculate the greatest common factor of 385 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 40825 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2362*f + 127974 = 423*f for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -l**6\/120 - l**5\/12 + l**4\/24 - l**3\/3 - 78*l**2 - l. What is q(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5712309764 rounded to the nearest 1000000?\nAnswer: 5712000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 10*s - 11. Let p be k(8). Suppose 3*x + 344 = 4*h - 2*x, 101 = h - p*x. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 11) + (-10 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -6*j + 5, -2*u - 2*j = 27530. What is u rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**3 - 9*a**2 - 9*a. Let g(c) = -c**3 + 5*c**2 + 5*c. Suppose 0 = -0*w - 2*w. Let n(d) = w*d + d - 15 + 5. Let v be n(4). What is v*o(q) - 11*g(q)?\nAnswer: -q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/7)\/(27\/(-18)). Let o be -2 - 11*2\/(-9). Let d be 17\/7 + ((-93)\/21 - -4). Which is the smallest value?  (a) f  (b) d  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22287\/197380 - -42\/355. Let w = 15263\/5004 + i. What is the common denominator of w and ((-3)\/20)\/((-4)\/(-90))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 8:02 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*f - 36*f + 12 - 2*f**2 + 2*f**2 - 2*f**2.\nAnswer: -2*f**2 + f + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (9 - ((-17 - -5) + 11)) - 56?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 3\/4  (b) 126  (c) -0.02  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.02159 - 1.02159. Suppose 2*d - 5 = d. Suppose 0 = -0*g + d*g - 5. Which is the closest to o?  (a) g  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c9ed8 (base 15) to base 14\nAnswer: -129980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - y + 81. Let i(g) = -847*g**2 + 605*g - 49005. Let b(r) = -i(r) - 605*j(r). Let c(s) = 25*s. What is b(c(n))?\nAnswer: 151250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4*m + 6, 0 = -0*m + 3*m + 2*f - 8. Let t(b) = -5*b - 4. Let c be t(-5). Suppose 0 = -m*d + 53 + c. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3744)*-2)\/(sqrt(10)\/sqrt(5)*6).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63224286 and 4674?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00008261 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, 45, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {i: 18, n: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5746 and 385554?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4 = t, -4*t + 3*t = -4*u + 2. Suppose -3*r = -20 - 34. List the prime factors of (t\/r)\/((-6 - -3)\/(-846)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -223 - -4?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 17538901.\nAnswer: 1\/17538901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of r**5\/20 + 5*r**4\/6 + 3*r**3\/2 + 19*r**2\/2 - 129*r. What is the smallest common multiple of 45 and z(-8)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o**2 + 35*o - 48. What are the prime factors of n(-18)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 6*s**2 - 3*s + 11. Let o(b) = -3*b**2 + b - 5. What is -7*o(x) - 3*q(x)?\nAnswer: 3*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of -13 + 0*y + 1\/3*y**3 - 1\/15*y**5 - 1\/3*y**2 + 0*y**4. Determine a so that m(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -422 - -4225. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 181\nAnswer: -4\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**4\/3 - 1270*m**3\/3 - 408248*m**2\/3 - 3173930*m\/3 + 1194483 = 0. Calculate m.\nAnswer: -631, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1573992716, -1573992714, -1573992712?\n\"Answer: 2*m - 1573992718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 103, 224, 393, 610, 875, 1188?\nAnswer: 1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 7:55 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1*c)\/c**(-4\/3))**5\/(c\/c**4*c\/(c**3\/c*c))**(-2\/3) assuming c is positive.\nAnswer: c**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 4*n + 97, 4*s - 9046 = -n. Calculate the greatest common factor of 357 and s.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 246 + -238. Suppose -9*y = -2*h - g*y - 14, 0 = -3*h - y - 16. Let r(j) = 5*j**2 - 3 - 4*j + 1 + j**3 - 4*j. Give r(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -80459452 by 1.\nAnswer: -80459452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 383 - 375. Solve 11 + 29 = u*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1860036?\nAnswer: 2, 3, 155003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -57 - -41. Suppose 3*h + h = 16. Let y be 25250\/h*i\/1. Round y to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 5. Let o(r) = -6*r**2 + 4*r. Let c(v) = 6*v**3 - 1 - 2*v**3 + v + 0. Let a be c(1). Let u(d) = -7*d**2 + 5*d. Determine a*u(z) + m*o(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -42561572*v**4 + v**2 - 20269866*v.\nAnswer: -1021477728*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 38042, 38029, 38016, 38003, 37990?\n\"Answer: -13*a + 38055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 11*g - 6. Let i be w(6). Let p = 24 - i. Suppose 2*h = -p*h + 88. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 equal to -430\/691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**5\/11 - 4628*g**4\/11 - 2552356*g**3\/11 + 146867768*g**2\/11 + 782533206*g\/11 + 957250476\/11 = 0.\nAnswer: -1183, -3, -2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -812018*s**4 + 471289 wrt s.\nAnswer: -3248072*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/3)\/((-2)\/6). Suppose v*c = -0*c. Sort c, 1, -5.\nAnswer: -5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.7980652 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 1:32 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 157.9 - 142. Let x = b + -15.7. What is the biggest value in x, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.411 + 0.111. Which is the second smallest value?  (a) 1  (b) k  (c) 1\/2  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -147 + 270. Suppose 5*p + 20 = 60. What is the remainder when f is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3470 divided by 694\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - (0 + -15))\/2. Let r(j) = -8*j**3 + 14*j**2 - 14*j. Let h(d) = 7*d**3 - 13*d**2 + 13*d. Let t(b) = x*r(b) + 7*h(b). What is t(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 236*z**2 - 912*z**2 - 44 - 36 + 80.\nAnswer: -676*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.1, 27.6, -5, -2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2388030559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1624, -1867, 0, -3 in descending order.\nAnswer: 1624, 0, -3, -1867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-130)\/40 - (-2)\/8. Let b be -3 - (w + (-692)\/8). Let d = -85 + b. Put 0.2, -1, d in increasing order.\nAnswer: -1, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 6*u - 2*u)*(1 + 0 + 16)*(2 + u - 2).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 54852*g**2 - 54855*g**2 + 15.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.8922613 minutes in days?\nAnswer: 0.004091848125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1275, -2337, -3399, -4461?\nAnswer: -5523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 262005.\nAnswer: -7\/262005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3068.202nm in centimeters?\nAnswer: 0.0003068202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/8 + 193*v**2\/4 + 24089*v\/8 - 341887.\nAnswer: (v - 56)*(v + 221)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237*j = -46*j + 1538*j + 25100 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1297*t**4 + 25*t**3 + 1985036 with respect to t.\nAnswer: -5188*t**3 + 75*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -339 - -343. Solve 3*y - 13 = l*y - 4*h, y = -4*h + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0438 + -0.128.\nAnswer: -0.0842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -7*x**2\/2 - 1304. Let l(m) = -9*m**2. Calculate l(u(a)).\nAnswer: -441*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -364311214 by 9098.\nAnswer: -40043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52742 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4 - 1770278*g + 1769281*g.\nAnswer: -997*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 109, 1021, 3517, 8389, 16429, 28429, 45181?\n\"Answer: 132*j**3 - 12*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 - m**2 + 12*m**4 + 22*m**3 - 51*m**3 + 14*m**3 + m + 15*m**3 in the form a + p*m + o*m**3 + s*m**2 + r*m**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -2*f + 10, 5*d + 19 = 3*d + 5*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.99 - 0.29. Sort 4, l, -0.3 in descending order.\nAnswer: l, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4869?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/5 or 31\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 28260 and 28205 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = y, 0 = -19*d + 15*d + 3*y + 27 - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -44, -88, -180, -338, -580?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - s**2 - s + 3. Let y be c(0). Suppose 25 = f - 4*j, -y*j = 4*f + j. Solve 0 = 3*r - f - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 1)*(-2*w - 5*w + 6*w) + 3*w - 4*w - 14*w - 4 + 4 + 3*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 82.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5428 and 321586?\nAnswer: 37947148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j + 5. Let w(f) be the second derivative of -2*f**2 - 15*f. Determine 2*u(d) + 3*w(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10996325*u**3*v**2 + 4*u**3 - u**2*v + 409*u**2 - 3*u*v**2 + 5*u*v + 247*v wrt u.\nAnswer: 65977950*v**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31.999991 + 32. What is v rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7742 - -7236.1. What is g rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 452 - 389. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 4*x = -a - 209, 88 = x + 5*a. Suppose -2*l + 7 = x. Let g be (-2 + 0)\/(2\/l). Calculate the greatest common factor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 138*v + 151*v - 33*v**4 - 421*v + 3 - v**3 + 140*v - 16*v**2 - 2 as w*v**3 + r*v**2 + b*v**4 + z*v + d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 367 + -364. Solve 4*g - n*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46318*g**2*z**3 + 50*g**2*z**2 - 946*z**2 wrt z.\nAnswer: -277908*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -w**2*y**2 - 18*w**2 - 71*y**2 wrt y.\nAnswer: -2*w**2*y - 142*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*((s*(s*s**(-1))\/s)\/s*s)\/s*s)**(-43))**(4\/11))**(-1\/31) assuming s is positive.\nAnswer: s**(172\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 4, 32.\nAnswer: -0.1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - (4 - 72\/15). Is -10 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = j + 14, j - 22 = -y - 4*y. Let l(p) = j + 3*p + p**2 + p + 3*p. Suppose 64 + 8 = -12*s. Give l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 8*s**2 - 7*s - 2. List the prime factors of x(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.22832 * 44.\nAnswer: -10.04608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 3:40 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1408740 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8544 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -7 - (8 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (67 - 56) + (-7 + (4 - -3) + -2 - 69).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639661873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.461 - 33.223. What is k rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 25*z = -18. Let w be z\/((-21)\/(-6)) - 72\/105. What is the closest to 5 in 5, 4, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*1\/(-4)*(-16)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6002.55 grams to nanograms.\nAnswer: 6002550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of g**5\/20 + g**4\/6 - 7*g**3\/6 - 5*g**2\/2 + 4*g. Let m be w(4). Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c + 52521*c**2 - 52011*c**2 + 0*c.\nAnswer: 510*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 less than or equal to 84\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4062900 to the power of 1\/2, to the nearest integer?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k = 3*k + v + 3, v = 5. Let a be 0\/((-6)\/k) - -5. Let f(d) = d**3 + 5*d**2 - 75*d - 373. Let g be f(-5). Solve g + 3 = a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 4*g - 3. Let a be c(-7). What is the units digit of (a + 2)\/(1 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 15*n**2. Let q(d) = 7*d**2. Let o(i) = -5*q(i) + 2*v(i). Let r(s) = 3*s**2. Determine r(o(j)).\nAnswer: 75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 188 + 50. Suppose -4*s + 2*t = 904, -c - 214 = 2*s - 4*t. Let o be s\/(-3) + (-1)\/3. Calculate the greatest common divisor of 30 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ntn when three letters picked without replacement from {t: 6, k: 1, n: 3, j: 5}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 23*s**2. Let o(l) be the third derivative of -l**8\/6720 + 41*l**5\/60 - l**3\/6 - 2*l**2 + 56. Let r(h) be the third derivative of o(h). Give g(r(t)).\nAnswer: 207*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -18*d + 2806 - 2450, 3*r - 3*d + 48 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115724.\nAnswer: 2, 7, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.293 - -4.649. What is o rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 2  (b) -5  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f**3 + 120*f**2 + 254*f - 82. Let p be s(42). Solve -5*y - 12*a = -11*a - 16, 2*y - 8 = -p*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 + 0 + 0 + (83 + 19*d**2 - 83)*(5 - 4 - 3) + 3*d**2 - d**2 - d**2.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from zyyf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-137 + 40 - 12)*(-1 + c + 1).\nAnswer: -109*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 2915 = 8165. Let r = -76 - u. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q - 36 = -4*a + 5*q, 4*q = a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (325\/78)\/25*144\/156.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/8888 and -85\/12?\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.0998 * 0.05321\nAnswer: 0.005310358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-1 - 3) + (-31 - -7 - -17)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 19 = -5*a, -3*a + 2*m - 2 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + 1102120?\nAnswer: 1102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (37 - 46)\/((-2)\/(-2)). What is the common denominator of (p\/5)\/(232\/435) and -38\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -4) + (1 - 1) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - b = -20, 7 - 27 = h - 3*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -376 - -533. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 466 - 299. Let m = r + -98. What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -26, -80, -186, -362?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**2 - 12*s - 16. Let n(m) = -3*m**2 + 25*m + 32. Let a(i) = -3*n(i) - 5*u(i). Let c be a(-9). Suppose c + 28 = 6*r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 6. Let m = -7635 - -7622. What is u(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*o - 11 = -176 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -797.5 + 798. What is the nearest to -2 in f, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -3\/935  (c) 0.208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8 - (-22)\/8. Solve -d*x + 5 = -7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**5 + w**5 - w**5 + (-4*w + 4*w + w**2)*(0 + 0 - 2*w**3) + 11 + 9*w**5 - 11 + 2*w - 2*w + w**5 + w - w**5 - w.\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 12 = 0, 2*m + 412 + 205 = -5*f. Suppose a = 8*i + 1013, 0 = -4*i - 478*a + 474*a - 484. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/7)*t**(-1\/5))**(-6) assuming t is positive.\nAnswer: t**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3*b = -m + 7, -3*m + 4*b - 11 = 0. Let h be -7*6\/(-21) + m. What is the closest to h in 1\/4, -0.5, 2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 1, 5*t - 2*r - 340 = 2*t. Suppose 0 = 4*y + t - 534. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z + 10*z + 8*z - 4*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 8*k + 4*k = 2, 5*k + 10 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2 + 217050204*n + 11777697764110404.\nAnswer: (n + 108525102)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -124.78 times 5\nAnswer: -623.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 907293.4 hours in minutes?\nAnswer: 54437604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - j + 214, -250 - 11 = 5*a + 2*j. Let w = -35 - a. What is the remainder when 35 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33390 >= 33416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9087 is divided by 376?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 12*d - 12. Let k be (-18 - (-1 - -1))\/(-2). What is the units digit of x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 12 = 2*t. Let y(b) = -4*b**3 - 3*b**2 + 3*b. Let v(n) = n**3 + n**2 - n. Give t*v(z) + 2*y(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1170 + -4629\/4. What is the common denominator of g and 45\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y + 10 = y + 3*s, -5*y + 10 = -5*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/4  (b) 5.47  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 652112.3l?\nAnswer: 652112300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 9  (c) -2\/223  (d) -65  (e) -1  (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-216)\/2)\/108*31\/1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.38 - -4.58. Let t = -0.8 - g. Let m = 1910 + -1914. Which is the fourth smallest value?  (a) 0  (b) m  (c) t  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -42*u + 1357. Determine p(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66 + 55 + -87 + -31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4546808913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 3:43 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*f - 70 = -5*f, -2*w = -f - 73. Suppose r + w = -3*r. Let y be (-3 - 21\/r)*-3. Solve -2*b - y*c = -8, 0*b - 4*c = -3*b - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(3)*-2 + sqrt(3))*-6)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -359\/36 - -39\/4. Let k = 3.5 - 1.5. What is the fourth biggest value in 3, 0, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -21622 + 4?\nAnswer: -21617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58 (base 11) to base 12.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 66 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/1163, -8, -0.5, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -34*z**3 - 11*z**2 - 39*z - 5 + 20*z + 7*z + 35*z**3. Suppose l + 4*f = 32, -80 = 4*l - 9*l - 4*f. Determine v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -38?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 489724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x**3 + 3*x**2 + 11*x + 21. Let a be k(-2). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v - 35*v + 23*v + 15*v + 13*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 76, 175, 314, 493, 712?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 9651 = -0*h - 2*i, 5*h - 3*i = 48307. List the prime factors of h.\nAnswer: 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 - 10. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-164)\/(-2) - 20\/(5 - 10) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.6187529nm?\nAnswer: 0.0006187529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a. Let x be y(5). Suppose 3*z + 75 = 4*l + 4069, 5010 = -5*l - x*z. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*f - 0*f. Let m be (4\/(-12)*f)\/(1\/2). What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**13*h\/(h\/(h**(1\/11)*h*h)) assuming h is positive.\nAnswer: h**(-109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -101092, -101093, -101094?\n\"Answer: -h - 101091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/3))**(1\/17))**(-6\/13)*(z\/((z**0\/z*z)\/z*z))\/((z\/z**(-2))\/z)*(z\/(z*z\/((z*z**(2\/7))\/z)*z))**46 assuming z is positive.\nAnswer: z**(-123511\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1339.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 43162306 (base 7) in base 3?\nAnswer: 20220220212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 u when four letters picked without replacement from {u: 9, y: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 7 + 43 = 13*r. Solve -7*i + 4*i = -4*n - 13, -11 = r*n - 2*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1741 - -2272. What is the highest common divisor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 56, -0.5, 0, -0.4, -1.1, -4 in ascending order.\nAnswer: -4, -1.1, -0.5, -0.4, 0, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 15, n: 5}. What is prob of picking 2 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**2 + 68*j - 68*j + 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 3*o + 46 = 0, -3*d - 154*o = -157*o + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.089 + 50.089. Let d = -30 + n. Let f = 21 - d. Which is the third biggest value?  (a) -0.5  (b) f  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*p - 5*b = -139 - 26, p - 2*b = 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 - 38447?\nAnswer: -38441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 2538 = -40*k. Suppose 10*h + h = -4*h. Sort h, 5, k.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4256 - 4179. Let q = 78 - -153. Calculate the greatest common factor of m and q.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17172 - 17195. What is the third biggest value in 1, -0.1, 1\/9, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-270)\/(-288)*-2*8\/(-18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -351?  (a) -0.4  (b) 3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2990016 and 7160.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.897007ng in grams?\nAnswer: 0.000000000897007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 5:29 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -3*r + 672. Suppose -26 = 4*w + r. Is 11 a factor of w\/(-15)*(2 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 8133634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 - 7*c + 14. Let d be i(-8). Let v(o) = -o**3 + 7*o**2 - 4*o - 9. Let t be v(d). Solve t*u - 8*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -21*h**2 + 11*h + 93. Let q(a) = 4*a**2 - 2*a - 19. Let o(s) = -2*f(s) - 11*q(s). Let v(w) = -3*w. Determine o(v(d)).\nAnswer: -18*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 8 + 3*v + 3 - 6. Let c(z) = 2*z + 4. Let a(p) = 5*c(p) - 4*x(p). Let r(b) = 3*b. Determine a(r(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 2*y = -3*u + 21, -4*u = -y - 5. Let b = y + 3. Solve -n - n + b = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h**3 + 10*h**2 + 16*h - 4. Calculate f(-6).\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -79, -163, -247?\n\"Answer: -84*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -4099*x**4\/12 - 14*x**3\/3 - x**2\/2 + 2882*x. Find the second derivative of y(f) wrt f.\nAnswer: -8198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**2 + t - t)*(-3*t + t + 0*t) - 3*t**3 + t**3 + t**3 + (6*t - 4*t + 0*t)*(-30*t**2 - t**2 - 37*t**2) to n*t**3 + u*t**2 + a + x*t and give n.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3432 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and -330?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*t**2 + 21*t**2 - 42*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 + 20 = 3*n - b, 10 = -3*n - 2*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.13  (b) 44  (c) -3  (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5*f**2 + 6*f + 1. Let l(y) = 6*y**2 + 6*y + 1. Let g(q) = -5*h(q) + 4*l(q). Calculate g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 1) + -2 + 3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/y**(-4)))**(-3\/11)\/(y**(-1)\/((y*y**1*y*y)\/y*y)) assuming y is positive.\nAnswer: y**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 407586 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: Let n = -439\/2 + 236. Let t = n + -18. Let i = -146 + 144. What is the third biggest value in -0.03, i, t, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -144957  (b) 4  (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*x + 14846 = 248*x + 54*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-4 - 88\/(-99))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/33 + 3958\/11. Let p be (-9)\/(-2)*(-430)\/(-387). Suppose 294 = 4*h - 3*o + o, 5*o + j = p*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -54*u + 19*u + 70. Let o(k) = -2*k - 3. Determine o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 166755184 by 4.\nAnswer: 41688796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16644 by -3.\nAnswer: 5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 - 2*w**2 - 3*w**2)*(7 - 4 + 4)*(2*w + 3*w - w).\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 + 31. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 4, h: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 312.55 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -24 (base 10) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 455060 is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(68))*-5 + 0 + 5 - (5 + sqrt(68) + (2*(sqrt(68) + 1 - sqrt(68)))**2 + -5)) + 0.\nAnswer: -12*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2961 and 84738.\nAnswer: 250909218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.129 times 1\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12)\/(-14) + (-1)\/1. Let c = 528 + -526. Suppose -3*k = 2*k. What is the nearest to c in -3\/4, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1512?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -600212, -2400833, -5401872, -9603329, -15005204, -21607497?\nAnswer: -29410208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t - 10. Let z be c(-7). Factor 0*l**2 + 0*l**4 + 3*l**z + l**2 - 4*l**4.\nAnswer: -l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -36.3  (b) -3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(3*2\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 37*p + 316. Calculate v(-11).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1412.8194 months to millennia.\nAnswer: 0.11773495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158 = 7*i - 151 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -913 + 923. What is the greatest common divisor of z and 500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 - (-2 - (-10 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 3*s - 593, -s + 4*s - 3*x = 561. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 + 1 - 1\/1. Let c = 71 + -283\/4. What is the closest to c in 1\/4, f, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 5)*((9 + 2 + 0)*(0*l + 6*l - 4*l) + 4*l + l - 2*l)*(2*l**2 - 2*l**2 - l**2).\nAnswer: 50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 170 = 3*n, -6*n + 11*n - 294 = -3*z. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 4193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.82 to two decimal places.\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p**2 + p + 2. Let z(l) = 3*l**2 + 2*l + 5. What is 7*q(y) - 4*z(y)?\nAnswer: 2*y**2 - y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 91541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3861930, 3861937, 3861946, 3861957, 3861970, 3861985?\n\"Answer: y**2 + 4*y + 3861925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 divided by 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -151*r**3 + 181*r**2 wrt r.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 21231684 and -563138.\nAnswer: 20668546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0*h**4 - h + 8*h**4 - 20*h**4 + 2*h**2 + 2 - 1 to m*h**4 + q*h**2 + d*h**3 + l*h + k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -1 - (-15 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (3*27\/45)\/(6\/2060)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = -17*l - 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 36*x**2 + 72*x - 147. Determine q(34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 102099 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -7*x - 177. Let q be s(-24). Let t(j) = 3*j - 7. Let m(o) = o - 3. Determine q*m(r) + 4*t(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50 and 2721350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**(3\/7)*g)\/g*g)\/g)**11)**(-46) assuming g is positive.\nAnswer: g**(-5060\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (2 - -43) - (-5 + 22 + -4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 49866665, 99733318, 149599961, 199466588, 249333193, 299199770, 349066313, 398932816?\n\"Answer: -s**3 + s**2 + 49866657*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (210\/(-18) + 11)\/(4\/(-17670))?\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 635537.6 milliseconds?\nAnswer: 635537600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.9 + 2.3. Let k = -0.1 - -0.3. Which is the third biggest value?  (a) k  (b) d  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 120539*c**3 + 1334*c + 20 wrt c?\nAnswer: 723234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6519\/11 - -591. Calculate the common denominator of w and 95\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 784767015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/(-9))\/((-5)\/(-930)). Calculate the lowest common multiple of 0 - (-2 - r)\/4 and 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0457452 take away -0.04?\nAnswer: -0.0057452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 815217 and 5?\nAnswer: 4076085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -4*s**3 - 169*s**2 + 127*s - 86. Let y be x(-43). Which is smaller: -3\/1124 or y?\nAnswer: -3\/1124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6469, 51770, 174733, 414190, 808973, 1397914, 2219845?\nAnswer: 3313598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*r = y - 14337, -4*y + 3*r = -19116. Calculate the least common multiple of y\/(-54)*(-1 - (-10)\/(-6)) and 22.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 4*q + 10. Let v(x) = -5*x - 9. Let p(f) = -3*i(f) - 2*v(f). Let n be p(-6). Solve 0 = -l - n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -1. Suppose -k - 4*q + 6 = z, 2*q + 3 = 2*k + 1. Sort 5, -1, k in descending order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 100110010010000111011101?\nAnswer: -100110010010000111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.04 + -1.96. Let a = 14.6 + -16.6. Let d = -3 + a. Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wn when two letters picked without replacement from wnsnw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -5*p**2 + 0 + 23\/12*p**4 - 19*p + 0*p**3. What is the derivative of w(u) wrt u?\nAnswer: 46*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245459753, -245459757, -245459763, -245459771, -245459781?\nAnswer: -245459793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 297739870 a multiple of 4560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 13*d + 1. Let x be h(13). Suppose 2*n - 1 = x, -4*y = 2*n - 794. Suppose -i + 5*g = -y, -3*g = -2*i + 233 + 198. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.2600372 + 1.26. What is g rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 157916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -456 greater than or equal to -455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 115497.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*4\/(-24)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 - 139*q + 1476. Is a(-85) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/3, -3\/2, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -44724, -89449, -134178, -178911, -223648?\n\"Answer: -2*y**2 - 44719*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 7 + 4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 4:37 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 100 = 21*r. Let k(a) = -8*a + 2. Let l be k(-2). Suppose 0 = -3*o + l + 15. Solve 9 = -r*t - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l**2\/4 + 3*l\/2 - 4 = 0. Calculate l.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/5426 - 187169\/151928. Let v = -8386 + 58748\/7. What is the common denominator of p and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 3, r: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -26, 5 in decreasing order.\nAnswer: 5, -1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 409 + -410 - (-2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3668, 192, 16 in descending order.\nAnswer: 192, 16, -3668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + 11 + -41 + 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f + 15. Let m be p(-5). Suppose 0 = -4*k + 5*y + 326, 262 = k + 2*k + m*y. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of -j**8\/60480 + j**7\/7560 - j**5\/12 - 6*j**2. Let k(y) be the third derivative of o(y). Suppose k(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**17*g)**9\/(g*g**(-10)*g)**(2\/41) assuming g is positive.\nAnswer: g**(6658\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -3*y + 6, 101*h - 97*h - 4*y = -16 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -64 by 25.\nAnswer: -64\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18.5 * 6.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16107\/18 - 30\/(-180) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, r: 2}. What is prob of picking 2 r and 2 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*108*3\/3. Suppose -3*q + a = -3*o, 43 = 2*q - o - 28. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -238498*j**3 + 5*j**2 - 2*j + 1. Let s be x(2). Suppose 2*b + b + 2903901 = 0. Let l = s - b. Round l to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zznynnzyzznny. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -2*w**3\/3 - 2104. Let d(k) = -2 - 6*k - 4*k - 4*k. Give d(n(y)).\nAnswer: 28*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 391 = 345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -966*x**3 + 1923*x**2 - 948*x - 9 = 0.\nAnswer: -3\/322, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sjx when three letters picked without replacement from xvxjnso.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -9*u. Let i(q) be the first derivative of 9 + q**2 - 162*q + 162*q. Determine i(c(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12684409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 165\/2550*-8 - (3 + (-17)\/5)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, v: 2, a: 1, e: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6549 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {w: 3, t: 3, f: 1, z: 1, h: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -10*z + 80, -4*p - 957*z = -952*z - 53 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 9950603*i. Let d(p) = 57*p**2. Calculate o(d(b)).\nAnswer: 567184371*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 6) + (4 - 2 - (9 - -34))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m - 4*m + 6*p - 81, 3*p + 2904 = -5*m + 5728 - 2907 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 5:44 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2\/5, -7, -4.\nAnswer: -7, -4, -2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(126)\/(-1*sqrt(2)) + ((sqrt(567)\/sqrt(9) + sqrt(63))*1)**2)*-3.\nAnswer: -741 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 236\/5. Let f = 1421 + -7109\/5. Let x = 0.085 + -0.185. What is the nearest to x in 0.2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 128729015 - -359642\nAnswer: 129088657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -129*k**3 + 267*k**3 + 6 - 141*k**3 + 55*k + 13*k to the form x*k + m*k**3 + i*k**2 + t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 + 89 + (1 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 3*r**5 + 5119*r**4 + 1704*r**3 - 3412*r**2 = 0.\nAnswer: -1706, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/6  (b) -4\/3  (c) 2\/5  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 2*i + 2*u + 19, 3*u + 18 = 4*i. Solve -i*f + 4*f - o = -3, -2*f - 16 = 3*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 370 - 5104. Let z = -2683 - r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 1005 - 3372 = 0. Suppose 764*b - 46 = -c + 759*b, 5*b - 82 = -2*c. Calculate the remainder when t is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**2 - 1894*m + 1892 = 0. Calculate m.\nAnswer: 1, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c + 1. Let v(r) = -15*r + 8. Let z(q) = -v(q) + 5*x(q). What is the derivative of z(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pf when two letters picked without replacement from hpfiplv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/4)\/((-2)\/4). Let u(o) = -o**3 + 3*o**2 + 2*o - 3. Let d(z) = 2*z**2 + z - 2. Determine s*d(j) - 2*u(j).\nAnswer: 2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - (-14 - -8)) + -113 + 88.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -64 - -122. Suppose 5*v = 2*m - 98, -4*v = m + k + 23. Let r be -2*2 - (v - -211). Round r to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 11:22 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*t - 188 = -21*t - 780 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 >= 2042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d - 1. Suppose -6*h = -h - 2*f + 15, -4*h + f = 12. Let t(j) = -4*j**2 - 2*j + 3. Let g be t(h). Let i = g + 28. What is z(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (6 - (2 - -3)) + 17\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**5 - 5226*t**4 - 4641916*t**3 - 1476764780*t**2 - 66790140546*t + 68271552470 = 0. Calculate t.\nAnswer: -853, -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - -2) + 0\/1. Let d(n) = n**2 + n - 4. Let j be d(-3). What is the closest to j in 3\/5, p, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.642597125 to four dps.\nAnswer: 8.6426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1111899)\/38*(-18)\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**5 + 2*s**5 - 2*s**5 + (-2*s**4 + 6*s**3 - 6*s**3)*(-57 + 57 - 19*s).\nAnswer: 39*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 - 4*j - 1. Let b be y(-2). What are the prime factors of -20*(15\/(-3) + b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m**3 + 2106*m**5 - 32 - 2053*m**5 - 36 - 3*m**2 wrt m?\nAnswer: 3180*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (3 - (-47 + 58 + -1 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w - 3*w + 6*w**2 - 5 - 3*w**2 - 2*w**2. Let k be j(4). Let i(m) = -6*m + m + k*m. Let x(n) = 8*n**2. Determine x(i(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 765101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/5  (b) -2  (c) -6  (d) 5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -3\/43589, -25.\nAnswer: -25, -2\/5, -3\/43589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - a + 8. What is the derivative of -a*i**2 - 3 + 5*i**2 - i**2 - 2*i**3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b - 3. Determine p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.125 * 0.5.\nAnswer: 0.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, s: 4, k: 2, g: 1}. Give prob of sequence sgs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 16 = -d, 4*g + 5 = 17. Let l be (-15)\/20 + (-54)\/(-8). Let o(t) = t**2 - 6*t + 2. Let q be o(l). Solve 3*y - 4*v + q + 13 = 0, -y - d = -4*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -0.3, 18, 2, 2.6 in decreasing order.\nAnswer: 18, 2.6, 2, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.7116 - 0.2884. Which is the closest to 5?  (a) -2\/9  (b) 1  (c) 5  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 h, and 1 d when four letters picked without replacement from {d: 7, h: 2, w: 7}?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b + 5. Let x be k(5). Suppose 4*y + 8 = x. Suppose -5*o + 24 + 21 = -5*z, 0 = 3*o + y*z + 3. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1247536 and 41200.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10800*k - 4541 + 5713*k - 13556*k - 1408.\nAnswer: -18643*k - 5949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -1 + (-17 - (93 + -160))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {t: 5, x: 2, v: 4, k: 5, q: 3}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.4 - -0.4. Let j = -437 + 911\/2. Let o = j + -19. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-55)\/(-40425)*-30)\/(2\/(-42))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b - 6*b + b + 6*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -9836.963 rounded to the nearest 10?\nAnswer: -9840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7534 + -22597\/3. Which is the nearest to 2?  (a) 119\/6  (b) l  (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94844 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4*(5 + 4*5*(0 + sqrt(68))*-1)*-4)**2.\nAnswer: -102400*sqrt(17) + 6969595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -297 - -315. What is the remainder when 580 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + -65 + 26 + 39?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -74 by 2315.\nAnswer: -74\/2315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2412)\/(-6030))\/((-6)\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 9:51 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -5. Solve p = j + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1252 and 21.\nAnswer: 26292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 610204 (base 13) in base 9?\nAnswer: 4218501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.6 - -1.6. Let c = -2.33 - -2.33. Suppose -4 = -0*p + 4*p. Sort p, d, c in ascending order.\nAnswer: p, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 3038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-24038)\/(-2400) + 1 - (-16335)\/(-1485) and 77\/2160.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (10 - 9 - (7 - 4 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose -r + 0*r = 0. Suppose 2*i + 3*i = r. Suppose 2*o - 1 - 15 = i. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 2*q - 34. Let n = 37 - q. What is the remainder when n is divided by 5 + 3 + 2\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2504011 rounded to two decimal places?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -233220001 (base 4) to base 9.\nAnswer: -326527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 4090*f + 49000. Give c(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 2*o - 3. Let t be a(-5). Let c be (-9)\/(-6)*8\/t. Let u be ((-8)\/(-36))\/((-6)\/(-9)). What is the third biggest value in u, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 783, 1562, 2341, 3120?\n\"Answer: 779*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -6*p + 1. Let o(y) = -27*y + 18. Give -5*j(w) + o(w).\nAnswer: 3*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.144 - 0.26. Let x = f - -0.136. Sort x, 3\/2, -0.1 in descending order.\nAnswer: 3\/2, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + 23a3a8?\nAnswer: 23a3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 34823 = n - 20851, -n = 5*c - 55674. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -804511 or 0.7?\nAnswer: -804511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 12.3. What is the smallest value in m, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 5:41 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -7*a**5\/3 + 628066*a**4\/3 + 6552029*a**3 + 23157154*a**2\/3 - 32670700*a\/3 - 3590200 = 0.\nAnswer: -30, -2, -2\/7, 1, 89755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 3*b**2 - 6*b - 479. Determine m(0).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 268420 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 434*f**2*m*u**2 + 69*f**2*u**3*y + f*m*u**3 - 12*f*u**3*y + 4*m*y wrt m.\nAnswer: 434*f**2*u**2 + f*u**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -49. What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 6*o**2 + o. Let a be (12\/(-9))\/((-4)\/12). Let n be a + (-3)\/((-9)\/(-15)). Calculate d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/5*(-5)\/4. Let z be (-6)\/(m + -2) - -37. Solve 3*t + 2*t - 5*k = -z, 5 = -3*t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364388941681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 2*q**5\/9 - 892*q**4\/9 + 127714*q**3\/9 - 6162848*q**2\/9 + 25290112*q\/3 - 30482432 = 0.\nAnswer: 8, 64, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4479434*k**2 - 2769604*k wrt k?\nAnswer: -8958868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.05  (b) 4  (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -1\/6, -109, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 5*i**2 + 5*i - 5. Let k = 32 - 29. Let b(f) = -3*f**3 + 6*f + 1 + 2*f**2 - 7 - 8*f**2 + 4*f**k. Give -5*b(x) + 6*d(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/12*(0 - -1)*146 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*12\/(-40)*5. Let o be (-12)\/36 + 7\/q. Let j = -0.4 - -0.7. Put o, j, -2 in decreasing order.\nAnswer: o, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 384005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2.1003 * -5\nAnswer: 10.5015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3667999 is divided by 273?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/1940124 and -103\/150228.\nAnswer: 226994508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 3. Let j be p(4). Let i(d) = -5*d - 3. Let c be i(j). Factor 16 - 6*z**c - 2*z**3 + 22 - 30.\nAnswer: -2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.4  (b) 1\/12  (c) 0.1  (d) -0.286  (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**6\/6 - 3*h**5\/20 - 114*h**2. Let o(b) = -5*b**3 + 2*b**2. Calculate -9*o(n) - 2*w(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v**5 + 3380*v**4 - 47308*v**3 + 51472*v**2 + 73618*v - 28548 = 0. Calculate v.\nAnswer: -1, 1\/3, 2, 13, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 93339947021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 20313 (base 4) to base 14\nAnswer: 2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 746\/43, -0.3.\nAnswer: -1, -0.3, 746\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(2\/31)*z)**(3\/5)\/((z\/(z*z**(-14)))\/z**9) assuming z is positive.\nAnswer: z**(-119\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57 - 104. Let s = x + 46. What is the nearest to s in -3\/5, -5, -0.05?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*h - 11 = 35*h - 5*g, -5*g = 2*h - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.03 + 2. Let s = u + 0.02983. Round s to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48 + (-101 - -43) + 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 324 = o. Let g = 99 + o. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.4 + -3. Let c = -111.8 + 112. What is the second biggest value in c, -1, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 3*d + 0*d)*(16*d - d + 0*d + (-6*d + 4*d + d)*(4 - 3 - 2))*(51 + 8 + 24) as o*d + b + c*d**2 and give c.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*a = 0. Let z(h) = -9*h**2 + 7 - 2*h + a*h - 5*h. Suppose 4*y + 8 + 20 = 0. Let q(m) = 4*m**2 + 3*m - 3. What is y*q(j) - 3*z(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146535, -146534, -146533, -146532, -146531?\nAnswer: -146530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13311*d**3 + 11787*d wrt d.\nAnswer: 79866*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/16 and 83\/52602.\nAnswer: 420816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2741)\/(-5482)*(-5)\/(1380\/8)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10.26 + 9.7. Let y = 0.559774 + v. What is y rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 4. Suppose g*b = -34 + 114. Suppose -m - 8 = -b. Calculate the greatest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r = 15*r - 8. Let v = -6 + 4. Which is the biggest value?  (a) v  (b) -0.3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1 + 0 = -2*h, 2*a - 2 = 3*h. Suppose 0*p = -5*p - 45. Is p\/3 - (a - 6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -75009, -75007, -75005?\n\"Answer: 2*g - 75011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/1014 and 79\/195.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 - -32) + (4 - (11 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32424 + -434?\nAnswer: 31440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1104446713 plus 3?\nAnswer: 1104446716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of -m**5\/60 - 29*m**4\/12 - 841*m**3\/6 - 24389*m**2\/6 - 115*m. Find w such that b(w) = 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 110*t**3 + 17*t - 10*t**3 + 2 - 2 - 33*t to d*t**2 + n*t + q + s*t**3 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221 - 1559 + 2*u - 1894.\nAnswer: 2*u - 3674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**(15\/2)\/q))\/q**(-18) assuming q is positive.\nAnswer: q**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 54*k = 101*k - 52*k - 25, 4*x - 61*k - 163 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -83.000417 + 83. What is h rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 25296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3745127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3*sqrt(13) - sqrt(832)*-1)**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {p: 2, b: 8, v: 1, d: 1, u: 1, s: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 460\/779481 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*u - 7*k + 3*k + 748, 2*k = 10. Calculate the remainder when 2648 is divided by u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12986816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -5*c**4 - 3*c**3 + 9*c**2 + 4*c + 3. Let v(t) = -24*t**4 - 14*t**3 + 44*t**2 + 20*t + 14. Let z(x) = 28*h(x) - 6*v(x). Factor z(y).\nAnswer: 4*y*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -308 (base 12) to base 8.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 15 = 12*p, -4*p - 28 = -t. Suppose 4*l - 3492 = -h - 3*h, -4*h = t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 AM and 11:48 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-1 - (0 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**2 - 8*k + 2. Let c be p(-7). Is 3\/c + (-58)\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1963?\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 338 and 2197.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 565221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2149*w - 53. Let x be u(-7). Suppose -x = -3*k - 2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-1\/20)\/c*c**(-2\/7)*c\/c**(4\/5)*c**(-17))**16 assuming c is positive.\nAnswer: c**(-9596\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 7:33 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -8 + 5. Suppose -3*k = 3*c - 4*c - v, -c - 5*k = -7. Suppose -2*j = 8, -3*r + 0 = j - 5. Calculate the remainder when r is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 205651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -7*d - 10. Let c be x(-4). Suppose -c + 12 = -2*z. What is the units digit of 1*7\/z*(6 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9434 - -9433.9993963. What is d rounded to five decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(17) + sqrt(833) + sqrt(17)) + -3*(1 + sqrt(17)).\nAnswer: -21*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-5))**(-9\/2)*u**(1\/2)\/u*u*u*u*u\/(((u*u**(-6)*u*u)\/u)\/u))**42)**17 assuming u is positive.\nAnswer: u**22134","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 141483.8 + -141485.4000105. Let p = -1.48 - 0.12. Let d = p - w. What is d rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**2 - 94*v - 63. Let l be q(32). Solve -19 + l = 3*x - 5*c, 3*x + c = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5513631 and 576051.\nAnswer: 38595417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7520 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do 76\/9 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 4\/(-24)*10*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26081*a - 9*a**2 + 2 - 26081*a + 5*a**3 + 4*a**3 - a + a + (-2*a**2 + 0*a**2 + 0*a**2)*(0 + 0 + a).\nAnswer: 7*a**3 - 9*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82584 by 186.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -189, -184, -179, -174, -169, -164?\n\"Answer: 5*n - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 3*o - 14. What is the remainder when 278 is divided by p(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s - 2*s + 3*s)*(760*s - 384*s + 1 - 443*s) in the form i + g*s**2 + t*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 1008*b + 81813. What is h(-919)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/1395 and 32\/99.\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1015235*t**2 - 17218*t - 20.\nAnswer: 2030470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 63 - 5\/2*v**2 + 4*v. Let h(p) = -2*p**2. Give z(h(l)).\nAnswer: 10*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Is 15791952 a multiple of 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1389.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (630\/(-135)*12\/(-80))\/((-1)\/(-5))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-660)\/(-50))\/(30\/17450)?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**(-45)\/(j*(j**(-2\/7)\/j*j)\/j)**3 assuming j is positive.\nAnswer: j**(-309\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 21 = -23. Round x to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23121.\nAnswer: 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -211 + -4345?\nAnswer: -4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 - 2*v**2 - 2*v**2 + (4 - 1 + 0)*(6*v**2 - 6*v**2 - 6*v**2))*((0 + 0 + 2*v)*(4 - 3 + 0) - 4*v + 0*v + 6*v).\nAnswer: -92*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-70))\/(-17*(-66)\/(-3740))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k + 3. Let r = 3 - -3. Suppose 5*v = 8*v + r. Let b(o) = 3*o - 3. Let l(n) = -4*n + 4. Let u(h) = 3*b(h) + 2*l(h). Calculate v*y(c) - 6*u(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 921818 * -0.06.\nAnswer: -55309.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (7 + 0 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*f - 9. Let a be (2\/6)\/(2\/f). Let d be ((a - -4) + -10)*-2. Round d to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -348 - -597. Let s = -66 + w. Let o = -15 + s. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 76 and 4116?\nAnswer: 78204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -37, -59, -75, -91, -113, -147?\n\"Answer: -i**3 + 9*i**2 - 42*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 315, 337, 397, 513, 703?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of v**5\/70 + v**4\/21 + v**3\/21 + 9*v. Factor f(i).\nAnswer: 2*i*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/47884886 and -5\/5848.\nAnswer: 191539544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*1\/2 + 17 + -4. Solve 3*j - 3 = z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.5 in -110\/51, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358956?\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -611, 625, 1861, 3097?\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*p + 3. Suppose -3*v - 21 = -3*r, 2*v - 7 = -4*r + p. What is the third biggest value in 1\/4, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*g + 12 = 0, 3*a + 0*a - 2*g - 22 = 0. Suppose 20 = a*y - 0*y. Suppose -y*t = z - 22, -z + 0*z + 2*t = 6. Solve z*s + 2 + 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18\/7, -2377, 2, -1\/7, 0.3, 5 in ascending order.\nAnswer: -2377, -1\/7, 0.3, 2, 18\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6064 and 20882142.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1128, 4579, 10436, 18783, 29704, 43283, 59604, 78751?\nAnswer: 100808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 2*m + 4*i + 19 = 0, -m - 5*i = 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qnqqvbqqc. What is prob of sequence vnq?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 - -2) + 3 + 2. Suppose -c + v*c = 0. Suppose -3*k = -n - 129, -k + c*k + 47 = n. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -3*j**2 + 0*j**4 - 1\/60*j**5 + 0 + 0*j + 0*j**3 - 3\/40*j**6. Find the third derivative of f(n) wrt n.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 - 12*j**2 - 313 - 207*j**2 + 195 + 58.\nAnswer: -219*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14\/((-1)\/((-2)\/2)). Is (w\/(-2))\/((-3)\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.1, -17 in descending order.\nAnswer: 0.1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35 - 35 - 16*s)*(83*s + 102*s + 76*s).\nAnswer: -4176*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 x when four letters picked without replacement from xexexxxxxxx?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*q - 59 + 77 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 + 1940642855139.\nAnswer: 1940642855090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 3 + (-5 + 2 + 4)*(-3 + 4 + 0))*(4 - 3*l - 4) + 0 - 33 - 5366*l + 5237*l.\nAnswer: -141*l - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/10 + 36\/(-990)*-88. Put 5, d, -440 in descending order.\nAnswer: 5, d, -440","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-25431)\/194040 + 1\/8)\/(1\/97) and 83\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543041 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (96\/120)\/((-3)\/((-15)\/2)). Solve m = -d*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -216 divided by -72\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 6, 5.1, -7060, -4 in ascending order.\nAnswer: -7060, -4, -0.4, 5.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6b2 (base 16) to base 12.\nAnswer: baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3784 is divided by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/2720 and -18\/187?\nAnswer: 29920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 + 62. Let u = a + -17. Let y be -25999 + u*(-1)\/(1 + 0). Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {f: 6, v: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 78809.8 millennia in years?\nAnswer: 78809800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 35*b - 214. Let g be w(8). What is the third derivative of 80*c**2 - 144*c**g + 226*c**6 + 94*c**2 + 47*c**2 wrt c?\nAnswer: 27120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 282106355 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.01 + -0.29. What is the biggest value in v, 0.3, -0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 12020?\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = 3*c + z - 101, 4*c = 3*z + 244. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 4\/5*h - 6\/5*h**2 + 2\/5*h**3.\nAnswer: 2*h*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -10*c**3 - 66*c**2 - 33*c + 3. Let y be t(-6). Sort -4, 1, 4, y in descending order.\nAnswer: 4, 1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y + 9. Let b be h(8). Let k(c) = -11*c - 4. Let u(z) = 3*z + 1. Let o(s) = -2*k(s) - 7*u(s). Let q be o(b). Solve -4*m - 6 = -q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of p**4\/6 + 20*p**2. Let n(v) = -v + 1. Let d(c) = -8*c + 7. Let h(s) = -6*d(s) + 42*n(s). Determine h(a(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.241 + -22.241. Is c greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-2))\/(54*22\/792*(-3)\/(-549)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 71 - 67. Suppose h + 5*t = 3*h + v, -3*h + 15 = 3*t. Solve -h*m = m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -1 + 0 - 6*l - 1 - 1. Let t = 274 + -47. Let m = 225 - t. What is c(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 187 - 184. Solve 4*s - 4*j - 16 = -0*j, 4 = q*s - j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 4 + sqrt(7) + sqrt(252) + (sqrt(448) - (sqrt(448)*-3 - sqrt(448) - sqrt(448))))**2 - (-2*(-4 + sqrt(343)*1) + 5)**2.\nAnswer: 1134*sqrt(7) + 19683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, b: 1, d: 1, p: 2, x: 5}. Give prob of sequence bd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -203 + 33?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 6 + 0 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11913, 47639, 107175, 190515, 297653?\nAnswer: 428583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u. Let r(y) = 3 - 75*y - 195*y - 3 + 0. Give r(o(l)).\nAnswer: -270*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 37*v - 7. Does 12 divide r(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - g - 24 = 0. Does 13 divide (g\/9)\/((-4)\/234)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*c = 85*c - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a - 3440 + 10491 = 0. List the prime factors of a.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 33\/4?  (a) -67  (b) 0  (c) 3\/2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*k = -4*f + 18, -f + 4*k = -13. Suppose -5*c = -2*t + 19, -8*c = -4*t - f*c + 45. Calculate the least common multiple of t and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -185*o. Let v(m) = -3*m - 9. Calculate b(v(t)).\nAnswer: 555*t + 1665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1\/6, 30\/13, 7.\nAnswer: 1\/6, 1, 30\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 3)*(-2*f + 6*f - f)*(3*f**2 - f**2 + 4*f**2)*(-2*f + 0 + 0).\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*3\/(27\/(-204)). Suppose u + 9 = d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -8. Let z(w) = -7*w**2 + 135*w - 22. Let y be z(19). Find the first derivative of 30 + y*s + 4*s - 20*s + 44*s**t wrt s.\nAnswer: 88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23746511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.76258 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in -5, 41, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 651694 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25*q*z**2 + 4484*q + 166330*z**2 + 2957 wrt z?\nAnswer: -50*q*z + 332660*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.4 - 0.2. Let v = -0.1 + l. Let f = -3\/5 + 2\/5. Which is the closest to v?  (a) 2\/7  (b) f  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 8469*g**2 - 5*g - 5. Let z be w(-1). Suppose -44*i - z = -47*i. Suppose 0 = -13*d + 16*d - i. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, m: 3, x: 1, t: 4}. Give prob of picking 1 x, 2 y, and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c. Let l(r) = -r + 1. Let h(d) = f(d) - 2*l(d). Suppose 0 = 3*g - 8*g + 85. Suppose -g*m + 21*m + 16 = 0. What is h(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1188726199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 0.105.\nAnswer: 5.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 14. Let k be (-26)\/(-6) - f\/24. Suppose c - 6 = -k. Solve -c*z - 2 = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -j**4\/4 - 7*j**3\/3 - 11*j**2\/2 - 4*j - 9. What is the units digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - 114941?\nAnswer: -114940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 1:59 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1875 divided by -625.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 8:06 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22144 by -4.\nAnswer: -5536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*m - 25*m + 35*m + 13*m.\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away -0.783419243834?\nAnswer: 2.783419243834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1384411, 71, -0.5 in descending order.\nAnswer: 1384411, 71, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(3\/4)\/p**(-2\/13)*p**(2\/7)*(p**(-1\/4)\/p)\/p assuming p is positive.\nAnswer: p**(-193\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*a + 155 = 25*a. Let l = a + -30. Is -2\/17 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169*c - 169*c + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-2)*(-450)\/27*2. Let f be 44\/10 - -1 - 20\/h. Solve -f = g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*x + 4, 2 = -l - 4*x + 3. Solve 0 = 5*u + w + 22, 3*w - 3 - l = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of d**5\/5 - d**4\/2 - 781*d**3\/3 - 367*d**2\/2 - 184. What is the second derivative of j(p) wrt p?\nAnswer: 12*p**2 - 12*p - 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*18\/(-360)*(-1)\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2910538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -32, -30, -28, -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-3) - (-3)\/9. Suppose d - x = -0*d. What is the highest common factor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 12:50 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-18) - (-11203405)\/954 - (-3)\/18?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s - 9. Let n be j(7). Calculate the greatest common divisor of 25 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -121, -47, 97, 335?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express u + 4 + 14 - 16*u**2 - 18 as p + f*u + q*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 629330 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xcy when three letters picked without replacement from cycycxcccc.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3456225 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(931)*4*6 - sqrt(931))*3*6 + -1)**2 + 2.\nAnswer: -23184*sqrt(19) + 638278710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20632 - 8929 = 680*c + 510*c - 469*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24688070 is divided by 1077.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-2\/19)*r**(-5\/6))\/(r**(-1\/18)*r\/r**(-8\/3)) assuming r is positive.\nAnswer: r**(-571\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 14, -2, 17639 in increasing order.\nAnswer: -2, 5, 14, 17639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c*c**(-2\/21))))\/(((c*c**(-17)\/c)\/c)\/c*c*c) assuming c is positive.\nAnswer: c**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 49. Let v = o - -34.1. Sort 0, 0.2, v, 4 in descending order.\nAnswer: 4, 0.2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -57555281 and -24946.\nAnswer: -57580227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 842066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -49 + 70. Let u be 4\/(-6)*6*22\/8. Let j = u + r. Solve 5*d = -5*a + j, 3*a = -a + 3*d + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8136 = 27*p - 8793. What is the greatest common factor of 33 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 6:38 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + 28*h - 120. Let w be z(5). Suppose 3*x = 5*k, k - x - 4*x = 22. Sort 2, -1, w, k in decreasing order.\nAnswer: 2, -1, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004 minus 2784183.9904?\nAnswer: -2784183.9944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and 39821.\nAnswer: 39821.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*b**2 - 20*b**5 + 5*b**4 - 68*b**3 + 16*b - 77*b**4 + 0*b**2 = 0. Calculate b.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 1 + 10*b**2 - 4*b**2 - b - 6*b**2 - b**2. Let l(g) = 5*g**2 + 5*g - 2. Determine l(c) + 3*v(c).\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 243 = -67. Let o = -32 - -53. What is the remainder when h is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3659015172 divided by 6?\nAnswer: -609835862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -49 divided by 6\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 - 18. Let z(c) = c + 7. Let s be z(d). Let h = s + 2. Solve 0 = -2*i - 5 - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**3 + g**2 + 5*g - 4. Let q(k) = k**2 - k. Suppose 5*a = -4*m + 2*a + 15, -3*m + 6 = -3*a. Let l(h) = m*q(h) + n(h). Solve l(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 317 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12*s**2 + 492*s - 21117 wrt s?\nAnswer: -24*s + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.06 and -0.7619787779?\nAnswer: 0.7019787779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -29, 0.3, 1, -0.61, -2\/11?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1829*96\/(-3720))\/(8\/10).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2393*v + 27 = 5*f - 2391*v, 0 = 10*f + 5*v - 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*t = -t + 2524, -5 = 5*t. Round j to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2035*n - 6363. Determine t(3).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j**3 + 5*j**3 - 49*j**2 - 40*j**2.\nAnswer: j**3 - 89*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*l - 13, -l - 3*v - 1 = -7. Let t(w) = -2*w**2 + l*w**2 + 0 + 1 - 6*w. Let k be t(7). Solve 4*i + 0 + k = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24.4 + 27. Let c = -2.2 + z. Let w = 0.3875 - c. What is w rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -50  (b) 5  (c) 1\/8  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.5989 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.038278 to 4 dps.\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 294*-15.3\nAnswer: -4498.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-3034)\/(-4551)*156\/(-2 + 4)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 + j + 2. Let l be t(0). What is the tens digit of (24\/9)\/(l\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 3*b = q - 2, -q - b = -4. Let o(x) = 9*x**2 + 7*x + 5. Let c be o(-1). Let i(u) = 15*u - 107. Let d be i(c). Sort d, q, 1 in decreasing order.\nAnswer: q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {s: 7, g: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 279283727*f - 279283727*f + 4*f**3 + 0.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/(-3))\/(-1))\/((230\/420)\/(-23)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/19))**(-10)*(s\/(s\/(((s*s*s**16*s)\/s)\/s)))**(6\/11) assuming s is positive.\nAnswer: s**(2048\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 326574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0721 + -0.9721. Let l = 0.131 - -4.869. Which is the biggest value?  (a) x  (b) 2\/7  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2193671527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 8*b**2 + 6*b - 4. Let m be c(7). Let h = m - -21. Suppose -5*g - 5*q = -98 - 67, -2*q = h. What is g rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*u = -763, -6*b + 11*b - 3*u - 1272 = 0. Let t = -259 + b. Sort -2, t, 122 in descending order.\nAnswer: 122, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04618*1971.\nAnswer: -91.02078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-10)*p**(1\/14)*p*p*p**(2\/3)*p*(p*p\/(p*p**9))\/p)**40 assuming p is positive.\nAnswer: p**(-12820\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-4) + 2\/(-8). Let k be 186\/((5\/(-10))\/q). Differentiate k*i**2 - 4 - 372*i**2 + 7*i**3 wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15074772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -147, 2, 0, -1, 1.\nAnswer: -147, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89856 is divided by 1936?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-33)*3\/(-2). Let z = 34 + -36. What is the nearest to 0 in q, z, 7\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gxlohxhxglgoh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -67420*t. Let a(p) = 4*p**2 - 19. Give a(q(r)).\nAnswer: 18181825600*r**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -42) + -1101 + 1097?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -25*g**2 - 5*g + 5. Let m(n) = -25*n**2 - 4*n + 4. Let h(k) = -5*m(k) + 4*u(k). Let z(v) = -v. Calculate z(h(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.03021 from -2249313.23.\nAnswer: -2249313.19979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(1 - -4)*1. Solve -t + 5*k = 21, o*k - 4 = 5*t + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-46)\/(-8) + (-12)\/16 - (-4 + 19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhdhhdhdhhh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wsfl when four letters picked without replacement from {l: 4, c: 1, w: 3, f: 5, s: 1}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56035*l**4 - 304*l**2*m + 414*l - 1950*m wrt l.\nAnswer: 672420*l**2 - 608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.2 or -5858?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 14300272 - 16*z**2 - 14300272. Let r(u) = -50*u. What is r(m(o))?\nAnswer: 850*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 644 - 395. Let u = -138 + p. Does 37 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in 6, -0.1, -1\/4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/((-1)\/((-2)\/(-3))). Let v(f) = -3*f**x + 7*f**2 + 3*f**2. Let b(l) = 2*l. What is b(v(c))?\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 136044 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48136 - -91184. List the prime factors of i.\nAnswer: 2, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m = -4*l - 8*m - 155, -3*l + 2*m = l + 170 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1117047593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*2*4)\/(1*sqrt(1584) + sqrt(1584))*1.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44205679 and 52846?\nAnswer: 88411358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2900 - 2820 = -10*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*n**2 - 6*n**2 - 12*n**3 - 14*n**3 - 112*n**3 - 39*n**3 to z*n + g + b*n**3 + u*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(567) + 0 - sqrt(7)) + -4 + (sqrt(448) - (sqrt(448) + 1 + sqrt(448))))**2 + -4 + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 80\/15 + 8\/(-6) + 1. Solve j*o - 15 = r, -2*o - o + 9 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, -1\/3414, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 810 in decreasing order.\nAnswer: 810, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 6 + 1869 + -1893 + (19 - (-2 - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 340\/3 + -112. Let l(u) be the first derivative of -3*u**2 + 1\/3*u**6 + a*u**3 + 2*u + u**4 - 1 - 6\/5*u**5. Factor l(g).\nAnswer: 2*(g - 1)**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**2. Let j(l) = -l + 7. Let i be 2 + (3 + -3 - -3). Let f be j(i). Let s(u) = -4*u**2 - u**2 + 4*u**f + 3*u**2. Calculate a(s(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3310502764?\nAnswer: 2, 239, 557, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 270.6685 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1225 - 226. Let o = f - 14978\/15. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -786 - -1303. Let x = -516.621 + z. What is x rounded to two decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4658569813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21100 + 2300122?\nAnswer: 2321222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36, 17, -28, -111, -244, -439, -708, -1063?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(112) - (sqrt(14)\/sqrt(2) + 1) - -6*(sqrt(112)*1 + sqrt(112))*5.\nAnswer: -1 + 231*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, -1, -14, 1141 in ascending order.\nAnswer: -14, -5, -1, 5, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6943122 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 20*k = -2*l + 32*k - 8*k + 140, 4*k = -4*l + 47 + 85 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + 16. Suppose -4*m + r = m. Suppose -7 = -t - m. Solve t*z + 3*y - 2*y = -10, 2*y - 16 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 10:54 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 13. Suppose -r*i + 10 = 3*v, 0 = -4*i - 2*v + 6 + 2. Let p(a) = -3*a + 3*a - i*a. Let m(f) = -2*f. Determine m(p(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*sqrt(1377) - sqrt(34)\/sqrt(8)*6.\nAnswer: 105*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1*16\/40*10\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 6, -6 in increasing order.\nAnswer: -6, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 2*o - 3*r = 3, -4*r = -5*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**2 - 15*k + 24. Calculate f(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/49084 and -13\/245420.\nAnswer: 245420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + sqrt(99)*2)*-5*6.\nAnswer: -360*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37943 is divided by 275.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-154336)\/33488)\/(2\/46).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qpqq when four letters picked without replacement from qqppqp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92680 is divided by 18523.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3583 - -15197. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 16) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2539807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 - 3*i**4 - i**4 + 4*i**4 - i**4 + 0*i**4 + (0 - i**3 + 0)*(0 - i + 0) + 11 - 11 + 7*i**4 + (-4*i + 4*i - 2*i)*(0*i**2 + 0*i**2 + i**3).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 3*j**2 - 5*j - 2. Let i be (-1)\/4 + 5\/4. What is the remainder when (1\/1)\/(i\/25) is divided by w(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 69418 = 2*j + 69465, -4*k + 5*j = -24 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 14125*c - 1285381. Determine m(91).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 - 44. List the prime factors of t\/(-15) - (-5944)\/40.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 2682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4040\/19 - -8099\/38. Let 1\/4*a**2 + v*a - 2 = 0. Calculate a.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**3 - 19*a + 19*a - 5*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.5 at least as big as 0.782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9007559?\nAnswer: 11, 23, 35603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7 + 66?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -5*p - 1. Suppose -2*h - 7*a = -3*a + 30, 5 = -3*h + 4*a. Let z(l) = -11*l - 3. Suppose q - 2 - 1 = 0. Determine h*i(u) + q*z(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 878 divided by -1\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7823784 divided by 6\nAnswer: 1303964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25680091.5 nanoseconds in days?\nAnswer: 0.00000029722328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1042813, -1, 1?\nAnswer: 1042813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*(z**3\/z)\/z)\/(z\/z**(-7\/5))*(z*z**(1\/3))**40)**10)**46 assuming z is positive.\nAnswer: z**(73048\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**2 - 26*v - 9. Let h be x(9). Suppose -9*a - 2 - 7 = h. Let o(c) = 4*c**3 + 5*c - 6. Let q(n) = n - 1. What is a*o(b) + 5*q(b)?\nAnswer: -4*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -10 - (3 - 0) - (8 - 23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b - 22 + 16 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nzii when four letters picked without replacement from pzilnniii.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-6))\/((-32955)\/(-7605))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 44992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-6)\/6*2*(-4)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 6*w - 4 = -5*p, -3*p + 24 = 3*w. Suppose p*x - 498 = -2*x. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55071 is divided by 1407.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10, 1, -32, -101, -218, -395?\n\"Answer: -2*l**3 + 5*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5382 is divided by 316.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 1. Suppose 11 = 3*d + m + 3, -2*m + 12 = 2*d. Let n(i) = -7*i**3 + 3*i**2 + 2*i + 9. Let t(q) = d*n(q) + 6*j(q). Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of -1\/8*z**4 + 97\/60*z**5 - 116*z**2 + 1\/6*z**3 + 0*z + 0. Find the second derivative of q(v) wrt v.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 592992511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**6\/g)\/(g*g**(2\/15))*((g**1*g)\/g)\/g**(2\/7)*(g*g**(1\/2)*g*g*g*g\/(g**3\/g*g))**(-32) assuming g is positive.\nAnswer: g**(-7919\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-12))\/(8844\/(-10318)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 134 - 134.57. Let t = l - -37.57. Let r = t + -42. Which is the biggest value?  (a) -4  (b) -0.4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 62104 and 14.\nAnswer: 62104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/840 and -38\/5.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzl. Give prob of sequence zl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7055 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(931))*-4)**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22484624 to the power of 1\/2, to the nearest integer?\nAnswer: 4742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -246 + 856. Let d = -1471 - -1047. Let z = d + p. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lxjjxjxljxjxxxx. What is prob of picking 4 x?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24424213 (base 5) to base 12.\nAnswer: b2a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-747)\/126 - 134\/1876.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 702\/351*10\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 8*o + 3 = -4*o, -5*a + o - 5 = 0. Let j = 6\/85 - 776\/8585. Is a bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/9 - 30\/9. Let i be (-1)\/x*2*2. Which is the smallest value?  (a) i  (b) 4  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -244 - -247. Let i be (1\/(1\/(-1)))\/(f\/(-2)). Factor -2\/3*h + 4\/3 - i*h**2.\nAnswer: -2*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(19) - (2*sqrt(19)*4)**2) - (5*(-1 + sqrt(19)) - sqrt(76)\/sqrt(4)*-2).\nAnswer: -1212 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 - 8 = -4*q, -5*a - q = -63 - 2 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -99 + 99. Let r(s) be the third derivative of a - 4*s**2 + 0*s**4 + 0*s + 1\/60*s**5 + 0*s**3. Let b(x) = -2*x**2. What is r(b(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55 - (1 - (-19 - -2))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) 14.1  (c) 0.4  (d) -150\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*w + w + 3*w)*(-2*w**2 + 0*w**2 + 4*w**2) - 139*w**2 + 9*w**2 - 220*w**3 + 221*w**3 to the form f*w**3 + a*w + i*w**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - w = 13, -18 = -3*k + 5*w - w. Let m be (-3*k\/(-2))\/(6\/22). Calculate the highest common divisor of 143 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 + 0)*(-3*v**3 - 2*v**3 + v**3) + 2*v**3 - 6*v**3 + v**3 to the form a + t*v + k*v**2 + w*v**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = f - 67, 144 = -4*a - 2*f - 154. Let o be -1 - (-4 - 1231370\/a). Let p = -17096 - o. What is the common denominator of p and -37\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 641 + -638. Let j = 14 - 9. Solve -j*v - 1 = -2*u, -2*u - v - 11 = n*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16669*h - 56 - 17002*h + 56 + h**2 in the form p*h**2 + v + k*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 38063*l - 76758 wrt l.\nAnswer: 38063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-12)*(13 - 9) - (71 - 69)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-2*sqrt(117)*-2 + sqrt(117))*-4)**2 + 0 + -4.\nAnswer: 46794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 922 is divided by 286.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132192 and 4386.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 176 + -174. Suppose -6*w + i*w - 88 = -4*k, 5*k + 3*w = 94. Solve 0*c + 4*o = -c + 16, -3*c = -5*o + k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 8 = -0*p + r, p + 4*r - 11 = 0. Suppose -p*g - 3*u + 198 = 0, u - 135 = -2*g - 2*u. Calculate the greatest common divisor of g and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000347546 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -87.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n*n**8*n*n)\/n)*n\/n**(-4))\/((n\/n**(2\/13))\/n**1))**(2\/9) assuming n is positive.\nAnswer: n**(-100\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 5*w**2 - 42*w - 14. What is the units digit of y(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 6*c - 8. Let q be o(9). Suppose g - 6 = -0*g. Suppose 4*x = g*x - q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -70 - -134. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.4 - -8.62. Let h = a + 0.99. Let n = h + -0.21000115. What is n rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 h, and 1 o when four letters picked without replacement from {o: 4, d: 2, v: 6, h: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6912 divided by 2304.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.29733 weeks in microseconds?\nAnswer: 26791025184000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1107, -3589, -10313, -23397, -44959, -77117, -121989?\nAnswer: -181693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 69*f - 5. Suppose 0 = g - 66 + 51. Let z be h(g). Suppose -5*b + 0*b + 4*k = -1015, -k - z = -5*b. What is the remainder when b is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-6)*30\/(-375)*30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a = 14*a + 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/72)\/(4\/9). Which is greater: 0.01 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 + 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 120 = 3*k + 4*r, -r + 116 = 4*k. What is the lowest common multiple of k and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12486754 and 2978.\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*l - 6. What is the first derivative of -78*h + 78*h + l + 6*h**2 wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 4*t + 2. Let i be a(2). Let w = -140 - -119. Let v be (-10)\/(3 - (-9 + 5))*w. What is the greatest common factor of i and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 13367607.\nAnswer: 26735214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38.1 + 10.9. Let f = 27.1999937 + a. Round f to 7 dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7882471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -46*i + 5. Let m(f) = -162 + 502 - 23*f - 169 - 169. Give 5*m(k) - 2*o(k).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -20*d**3 - d**2 - 6*d. Let r be k(-3). Suppose z + 4*x = -z + 370, -3*z = 3*x - r. List the prime factors of z.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 66559123\/198 - 336158. Let k = -11\/9 - u. Calculate the common denominator of -107\/18 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32558.3 - -34467. Let m = n + -1831. What is m rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 266 = -18*r, 38*d + 39 = -21*d + 60*d + r for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 20 = k, 0 = 3*r - 3*k + 40 - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4775)\/(-3) + (-2)\/(-6). Let a = 3314 - w. Is ((-2)\/3)\/(5 - a\/342) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 12:16 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = i + 3*i - 5*x, -4*x + 4 = -5*i. Suppose 4*o = -i*o + 148. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a**2 + 2*a + 4. Let c(j) = -2*j**2 + 3*j + 6. Let k(b) = 2*c(b) - 3*p(b). Let d(x) = -22*x**2. Calculate k(d(m)).\nAnswer: 2420*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + -4 + -11 + 25 + -2 + -10?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -511 - -285. Let o = s - -381. What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -375 - -1833. Is 54 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298271 is divided by 549.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 868434 and 4263.\nAnswer: 6079038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of f**3\/3 - f**2\/2 - 54*f + 27. Let d be v(8). Let b = -3.8 + 4. What is the biggest value in 2\/13, b, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*a + 0*a - 4*a)*(a**2 + 2*a**2 - 5*a**2) - 3*a + 3*a - a**3)*(-3 - 3 + 1)*(-a**2 + 3*a**2 - 11*a**2).\nAnswer: 135*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (2 - (-3 - -1)). Suppose a + g = 2*a. Calculate the lowest common multiple of 86 and a.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30 - -220212403?\nAnswer: 220212433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -196 + 48. Let l = -10 - -30. What is the remainder when j is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4*w = -24, -4*v - 2*w + 33 = 3*w. Suppose 19 = 3*f + 1. Calculate the least common multiple of v and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 36)*(-2 - 14\/(-6)). Let q = h + 12. Let r = -2 + 1.8. Which is the third smallest value?  (a) r  (b) q  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -276196, 5, -0.5, -4 in ascending order.\nAnswer: -276196, -4, -2, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 126 + -45. Is 1032\/27 + (-18)\/d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 94*c - 17271 + 2*c**2 + 17271 = 0.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -136*q**2*t**2 + 2*q**2*t + 31041*q**2 - 6205*q*t**2 + 109*q*t - t**2 + 2*t wrt t.\nAnswer: -272*q**2 - 12410*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 9. Calculate the remainder when (684\/(-1596))\/(1*1*(-4)\/308) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 9*z**2 - 18*z + 21. What is m(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1 + ((sqrt(108)*-3)\/sqrt(4))\/(sqrt(9) + sqrt(1296)*3).\nAnswer: -3*sqrt(3)\/37 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44765329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 1177*j**2 + 3*j - 1178*j**2 - 4*j. Let q(p) = 4*p**2 + 5*p. Calculate 6*q(w) + 30*r(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) + (1*sqrt(72) - sqrt(72))*5)*6)\/((-1*sqrt(3456))\/((sqrt(90)*1 + sqrt(90) + sqrt(90))\/sqrt(10)))*4 + -2.\nAnswer: -18*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4195 at least -17\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*r - 3*r**3 - 6 + 5 - 5*r + 4*r**3 in the form o*r**3 + i + y*r**2 + s*r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q**3 + 3*q**3 - 2*q**3)*(0*q - 2*q + 3*q)*(-1 + 2 + 0)*(388 + 464 - 685) to the form c*q**2 + y*q**3 + i*q + m*q**4 + l and give m.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 271 + -270.99634. What is l rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15587220 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26236 and 20?\nAnswer: 131180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*w + 12936 = 10245 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 621827 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 20 = 4*a. Let y(p) = -3*p. Let g be y(-1). Which is bigger: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 795 + -d0a0?\nAnswer: -c90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ozeb when four letters picked without replacement from qqowbezzo?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7646 + -7631. What is the nearest to -0.07 in -2\/19, a, 0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40844306.\nAnswer: 2, 20422153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -182.0114 to one decimal place.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.06 - 2. Suppose -v - k = -1, k + 5 = 10*v - 13*v. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/(-10))\/((-94)\/(-2820)*-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**2 - 2*s - 1. Let q(m) = -88*m**2 + 68*m + 36. What is -4*q(j) - 144*u(j)?\nAnswer: -80*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3586 and 21353?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 28*f**2 + 26*f - 56. Determine m(-27).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 212  (b) 4  (c) 2  (d) -5  (e) 2\/23  (f) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 10 + 7 + 12*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -3*q + 930, 2*q - 615 = 4*r - r. Suppose -o + 2*o = u - 63, 5*u + o - q = 0. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 2*j + 2. Let b be q(7). Suppose 114 + 120 = 9*z. Let y = b - z. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, e: 2, u: 2}. Give prob of sequence feq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 95417300 to the nearest one million.\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**5\/2 + 47*t**4\/6 - 136*t**3\/3 + 112*t**2 - 256*t\/3 - 128\/3.\nAnswer: -(t - 4)**4*(3*t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 9  (b) -0.2  (c) 2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 6*n + 4. Let u be p(-6). Calculate the remainder when u\/10 + (-316)\/(-10) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -741 = -4*z - 761. What is the third biggest value in 9\/10, z, -2\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.08 + -0.58. Let u = 47\/3 + -15. Is u smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-4 + 4 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from dttttdddttt.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37841377.\nAnswer: 7, 772273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.9 + -2.12. Let v = 0.2 + z. Let q = 1.98 - v. What is the closest to -1 in 4, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043 to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6 + (-24)\/7)\/(2\/42). Let t be (-72)\/p - 230\/(-6). Which is smaller: t or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -545*c + 560067*c**3 - 4 + 6 - 560068*c**3 - 2 + 526*c.\nAnswer: -c**3 - 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from susposuupup?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 + (16 - 48) + 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 641 a factor of 462861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (30\/9)\/((-45)\/(-3105)). What is the greatest common divisor of v and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30515995 and 67135189.\nAnswer: 335675945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**5*y**(2\/13)*y*y*(y\/y**1)**(1\/10)*y**4\/y**(-1\/6)*(y*y\/(y**(-2\/7)\/y))\/y**(-5) assuming y is positive.\nAnswer: y**(10705\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 7309\/17  (b) 0  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 675424932 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -3\/11, 3, -2\/3, -0.06, -79, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 3:54 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 1\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 141 + 28315?\nAnswer: 28456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -17*z + 21*z - 18, -4*y - 3*z = -26. Solve -5*d + y = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105158171383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 + 4*g**2 - 2*g + 4. Let l(b) = -2 - b - 3*b - b. Let u be l(-6). Suppose -4*o = 3*t - u, -5*t + 6*o - o = 0. Give h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2917 divided by -48833.\nAnswer: 2917\/48833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8080.104 nanoseconds?\nAnswer: 0.008080104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1883, 1882, 1881, 1880?\n\"Answer: -x + 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1490186914 to the nearest integer?\nAnswer: 38603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 12 = -0*l. Suppose -2*j + 3*c = c + 14, -19 = j - l*c. Is (-232)\/(-2) + (0 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of 2269*s**4\/8 + 7112*s**2. Let l(b) = -b. Calculate l(j(f)).\nAnswer: -6807*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 divided by -99?\nAnswer: -235\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*k\/(k**(1\/4)\/k)*k)\/k*k)\/k)\/k)**23\/(k\/(k**1*k))**25 assuming k is positive.\nAnswer: k**(261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39 - -40) + 2\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 51333 + 6?\nAnswer: 51342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m + 3*m + 4*m - m - m + 0*m + (-3*m - 2*m + 4*m)*(2 - 1 - 6) + 49 - 49 + 5*m - 1 + 2*m + 1.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-18) - (-170)\/(-36). Which is the third smallest value?  (a) 3  (b) g  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -334*r**5 + 10015*r**4\/4 - 6670*r**3 + 6650*r**2 + 40*r - 1839. Suppose u(s) = 0. Calculate s.\nAnswer: -1\/334, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 - 51*u - 379. What is m(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1107426 (base 11) in base 6?\nAnswer: -105344441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.08  (b) -0.5  (c) -2\/273  (d) -2\/13  (e) -2\/457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 98*v - 25*v + 280*v - 618*v - 15900 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -160742, -160741, -160740, -160739, -160738, -160737?\nAnswer: -160736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1756 + 1768.001. Let g = -12 + s. Round g to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38233*g**3 + 2*g**2 - 6*g + 801?\nAnswer: 229398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 0. Let t(u) = -u**3 - u + 12. Let s = 31 + -13. What is the smallest common multiple of t(w) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11568 - -6373. Is -5195 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o + 5. Let h be t(0). Suppose -r = -h*r. Factor -2*g**4 + 7*g**3 - 2 - 9*g**2 + r*g**4 + 1 + 5*g.\nAnswer: -(g - 1)**3*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 5. Let x = 18 + -15. Let f be 3*(x - b) - -9. What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwiwjtu. What is prob of sequence mu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 261.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1432214 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l**2 + 6*l + 7. Let a(k) = -k**2 - 5*k - 6. Let h = 3 + 0. Let t(y) = h*a(y) + 2*d(y). What is t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -8*g + 54. What is the least common multiple of g and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - y**4\/4 - y**2. Let h be g(4). Let p = h - 17. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -4*l + 4*g, -5*l + 3*g = -42 - 24. Suppose 3*z = -z + l. Find the third derivative of -3*n**3 + n**z - 2*n**2 + 3*n**2 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 + 6*m**2 - 3*m - 15. Let z be u(-6). Solve -20 = -5*d, z*c + 2*d = -3 - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0087197 rounded to four decimal places?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -350235334 - 2?\nAnswer: -350235340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 120, 16\/3, -14, 1\/3 in decreasing order.\nAnswer: 120, 16\/3, 1\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (8334\/162976)\/(36\/192)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/51)\/u)\/(u*u\/(u\/(u\/u**(-19)))*u) assuming u is positive.\nAnswer: u**(-1171\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of 3*o**4\/4 + 2*o**3\/3 - 5*o**2\/2 + 8*o + 3. Let q be i(2). Sort 0.2, -0.4, q in increasing order.\nAnswer: -0.4, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -187.6 + 2752.6. Let g = z - 2565.001443. Round g to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -337.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7914.202 hours?\nAnswer: 474852.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 35463384 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2287 divided by -16.\nAnswer: -2287\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 371 = 2*n - 99, -4*n + 240 = 4*a. Suppose a*u = 55*u + 5779. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388000 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/39)\/g**(-3\/10) assuming g is positive.\nAnswer: g**(137\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -827 - -1419. Suppose -6*v + 2*v + j = 0. Suppose 3*d - 140 = v. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 867 in 0.02, 0, -5\/2, -5\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70200 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - j - 4 = 19, -p - 4*j = -25. Solve 2*a + c + p = 0, 6*a = 2*a - c - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 4*m**2 + 75*m - 1. Let f be c(-19). Solve -4*h + 5*u - f = 0, 2*h + 0*h + 12 = 4*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {c: 1, k: 1, t: 6, p: 1, i: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*f - 543420, -39*f = -r - 34*f - 271686. What is r rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -19\/632366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7565 and 4450?\nAnswer: 75650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5072, -10141, -15210?\nAnswer: -20279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (k - 3 + 3)*(11 + 3*k - k - k) as z*k + w*k**2 + y and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4*a + 0*a - 92 = 0, -i - 2*a + 17 = 0. Let x = 114 + i. Let g be (6*1)\/(((-144)\/60)\/(-6)). What is the highest common factor of g and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*p + 29*p**5 + 22*p + 11*p**5 - 27*p wrt p?\nAnswer: 800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*k**4*l**3 - 3*k**4 + k**3*l**3 + 3*k**2*l**3 + 4*k**2*l**2 wrt k?\nAnswer: 144*k*l**3 - 72*k + 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18414 and 109337?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from dkssddddi?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*m, 5*q - 3*m = -4*m + 24. Suppose 0 = b + 3*b - q*a + 20, -a + 4 = 2*b. Solve -w + 19 = -4*z - 0*z, 2*z + 2*w + 2 = b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*b = -13*b - 16910. Calculate the highest common divisor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 680 + -959. Let n = 292.58 + r. Round n to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 104*b**3 + b**2 - 621*b - 48. Find the first derivative of n(r) wrt r.\nAnswer: 624*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-1)*-7*(-16)\/((-336)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*r - 1439215802 + 1439215802.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 251845*t**2 + 2*t**3 - 251845*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l - 316676 + 316676 - 3083*l**2)*(7 - 7 + 3*l**2) in the form b*l**4 + d*l**3 + u*l**2 + h + g*l and give b.\nAnswer: -9249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 217918409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -3, 0 = 5*l - 0*m + 2*m + 8. Let y be l\/14 - 128\/(-112). Let v be y\/2*(-38)\/57. Which is the biggest value?  (a) v  (b) 4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8205753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -1844  (c) 15103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**3 + 32*g**2 + 16*g - 250. Give i(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8\/(4\/80*4) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 26*y - 50*y - 39 + 22*y. Let r be m(-22). Are 11\/2 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -4*y**3 - 9*y**2 + 11*y + 1. Let o(u) = 2*u**3 + 4*u**2 - 5*u - 1. Suppose -c = -186*c - 1665. Give c*o(m) - 4*k(m).\nAnswer: -2*m**3 + m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 872.667 seconds?\nAnswer: 872667000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-4\/5)\/(o\/(o\/o**(-25))))\/(((o\/(o\/((o**29\/o)\/o)))\/o)\/o)**(-31))**38 assuming o is positive.\nAnswer: o**(151848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 6adc81d?\nAnswer: -6adc81b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47.43 - 0.43. Let o = 85 - p. Let v = o - 36. What is the closest to v in 2\/9, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4472*w**6 - 4*w**3 + 149281*w**2?\nAnswer: 536640*w**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dazre. What is prob of sequence de?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*n**5 + 48\/7*n**3 - 16\/7*n**4 + 0 + 32\/7*n - 64\/7*n**2.\nAnswer: 2*n*(n - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6136 divided by 5\nAnswer: -6136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.02 - -0.28. Let u be 6\/14*(-2)\/3. Let g = -96 + 96. Which is the nearest to u?  (a) f  (b) -0.4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3 - 4*y - 9 + 3*y. Let o be k(-8). Differentiate -o - 7*c**3 - 10 + 18 wrt c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 55*h**2 + 4847*h - 584568.\nAnswer: 110*h + 4847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 - 13. Let t(l) = 1. Suppose -3*m + 1 = 4. Let o(w) = -4501019*w + 4501019*w + 1 + w**2. Determine m*t(k) + r*o(k).\nAnswer: -2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 202.9 at least as big as -9.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188548 is divided by 2072?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*b**2 + 22*b**2 - 26*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.34, 2092, -41?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -55, -52, -39, -10, 41, 120, 233?\n\"Answer: d**3 - d**2 - d - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of f**4\/6 - 12*f. Let b(c) = 5*c. Give b(o(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -5 + -4)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**2. Let n = 4 - 2. Let k(v) = -n*v - 2*v**2 + 0*v + 2*v. What is q(k(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -355 + 3*v + 21*v**2 - 9*v**2 + 911 - v - 10*v**2 as y*v + p*v**2 + d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {i: 1, h: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*-2 + -3 - (6*sqrt(32) + sqrt(2))**2) + 3 + 0 + sqrt(2) + sqrt(10)\/sqrt(5) + sqrt(2).\nAnswer: -1250 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 583199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of w**4\/12 + w**3\/6 - w**2 + w + 14. Let o(a) be the first derivative of g(a). Let l = 4 + -8. What is o(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169*b = -171*b + 240. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 4*g + 20, -5*p - 4*g + 7*g = -32. What is the derivative of -3*z**3 + 3 + 2*z**3 - p*z**3 - 5 wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2134 or 23484\/11?\nAnswer: 23484\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 9*x**2 - 9*x - 32. Let g be r(-4). Let y = 298 - g. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.3, -3\/4, -1\/2, 61?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/19))**(10\/11))**(-12\/13) assuming v is positive.\nAnswer: v**(-240\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**2 + 511*n - 44. Let a(t) = -2*t**2 + 513*t - 37. Give -6*a(c) + 5*g(c).\nAnswer: 2*c**2 - 523*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2740 + 10903\/4. Calculate the common denominator of 81\/2 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 4*o**2 + o)*((-1 - 9 - 8)*(4 - 2*o - 4) + 49 - 37*o - 49).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 + -1)\/(-13 + 14). What is the second smallest value in 3\/2, o, -1\/92?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 13677110.\nAnswer: -5470844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(28) - sqrt(84)\/sqrt(3))*3 - 3*sqrt(2800)).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40315.67 millilitres to litres.\nAnswer: 40.31567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*(-5)\/20 + 65\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 PM and 3:26 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 + 0)*(73 + 158 - 12)*(3 - 3 + 1)*(0*c**3 + 0*c**3 + 6*c**3) in the form p*c**3 + n*c + u + r*c**2 and give p.\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77971 is divided by 5994?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 1185*q**2 + 8*q - 9. Let u be (-44)\/6 - (-1)\/3. Let o be b(u). Round o to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**2\/7 - 35235488*d\/7 + 155192451824768\/7 = 0. What is d?\nAnswer: 8808872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*q - 4*c + 5, -5*c = -4*q + 20. Suppose q*d = 2*k - 35, 0 = -k + 5*d - 3*d + 16. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 104*(1\/17 - (-380)\/(-680))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 64 + (-72 + 61 - (1 + -3 + -8)) - 1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29*m*r**4 + 3*m*r**2 + 6*r**5 + 3*r**3 + 512*r**2 wrt r?\nAnswer: 696*m*r + 360*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 - 45.1. Let z be (2 - 136\/66)*3. Sort z, 4, p in ascending order.\nAnswer: z, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 44, 48, 48, 44, 36?\n\"Answer: -2*r**2 + 10*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-3*(sqrt(1053) - (0 + (sqrt(1053) + -1 - sqrt(1053)))) + 5)*-5)**2*4.\nAnswer: -5400*sqrt(13) + 947800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -738*a + 49 = -745*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, i: 2, m: 2, u: 4, f: 1}. Give prob of sequence uiu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15 - -24?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/6)\/(440\/(-330)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 + -706. Let y = x - -810.5. What is y rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wbkwbubwuybwwwkwbwk. What is prob of picking 1 w, 2 b, and 1 k?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, v: 4, r: 2, j: 1, g: 3}. Give prob of sequence gvt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 1, 0.0452, 12, 1\/5, 5 in descending order.\nAnswer: 12, 5, 1, 0.4, 1\/5, 0.0452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -4)*(1 + 1). Let g be r\/12 + (-361)\/(-6). Suppose 3*v + g = 6*v. Calculate the lowest common multiple of v and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**6\/51 + 16*q**5\/85 + 25*q**4\/34 + 76*q**3\/51 + 28*q**2\/17 + 16*q\/17 + 1060. Factor j(a).\nAnswer: 2*(a + 1)**2*(a + 2)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 869821564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 - -0.1795.\nAnswer: 44.1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 172*a**3*p**3 + 14*a**3*p**2 - 5*a**2*p**3 - a**2*p**2 + 13*p**3 + 2 wrt a?\nAnswer: 1032*p**3 + 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4085, -2, -3.\nAnswer: -4085, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d + 17. Let f be q(5). Suppose 4*v = 0, u = -f*v - 0*v + 77. Let o = 128 - u. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33.8 + -22.7. Let y = -2.9 - -59.9. Let r = b + y. Put 0.3, 23, r in decreasing order.\nAnswer: 23, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 - 128 - 8*u + 57 - 2*u + 71.\nAnswer: -4*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 6 = -3*k - 0*u, -2*u = -2*k + 4. Suppose -k*s = -7*s + 90. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 3*g - 2, -2*g = -3*b + 16 - 1. Suppose 2*z = -0*z - y + b, -4*z + 3*y = -29. Suppose 2*c - 12 = -2, 0 = z*f + 2*c - 7955. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.42 - -2.42. What is the smallest value in -6\/5, 2\/5, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0227 less than 118?\nAnswer: 117.9773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -8. Let f be -1 + 2 - (1 - 15). Let r be (-5)\/2 + f\/(-10). Sort 4, w, r.\nAnswer: r, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 5*r**4\/4 - 415*r**3\/4 + 145*r**2\/2 + 2415*r + 3690 = 0.\nAnswer: -3, -2, 6, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -n - 21. Sort 6, n, 1, 4 in descending order.\nAnswer: 6, 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21384 divided by -198\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(450) + (2*(0 + sqrt(450)) - sqrt(450)) + 5 - ((sqrt(150)\/sqrt(12) - sqrt(50))**2 + (sqrt(200) - (sqrt(200) + -1)**2))).\nAnswer: 1935\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1764 = n + 17*n. Calculate the remainder when n is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 416449632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -360047.9578 - -360007. Let x = h + 41. Round x to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzgzxzzzzzz. Give prob of sequence gzz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 11:29 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 1.955634?\nAnswer: 0.5866902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25 and 93500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 947, 3798, 8551, 15206?\nAnswer: 23763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 43 + 47 = 0. Let c be (3\/6)\/(n\/8). Factor -4\/9 + 2\/3*j**2 - c*j.\nAnswer: 2*(j - 1)*(3*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -85, -197, -377, -619, -917, -1265, -1657?\n\"Answer: r**3 - 40*r**2 + r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 4*q**2 - 10*q - 18. Determine u(11).\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 24305 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*u**2 - 8*u**2 + 84*u**2.\nAnswer: 111*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.248 - -285.752. Let q = 286.000000062 - d. Round q to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 9*l + 2*l**3 + 3*l**3 - 18*l - 4*l**3 - 8*l**2. Let h be t(9). Find the third derivative of -r**2 - r**2 + 5*r**2 + h*r**3 - 2*r**3 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 86292 and 1224?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38953 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = -28 + 4. Let f be (-3 + 2)\/(2\/(-8)). Suppose -4*q = -f*t - 12, -4 = t - 3*t - 3*q. Which is the second biggest value?  (a) t  (b) v  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 2*h**2 + 2*h - 1. Let x be i(2). Let w(t) = -t + 9. Let n be w(5). Solve n - 13 = -x*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.9 - -10.4. What is the closest to 0.1 in -4, -2\/15, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q + 2*q + 2*q + 52*q + 5*q - 18*q + (5 + 0 - 3)*(-q + q - 2*q) + 0*q + q + 0*q - 1 - q + 1)*(32 + 5 - 6).\nAnswer: 1054*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5687232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/6*3 + 2 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9227.\nAnswer: 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 - 9*x + 9. Let q be a(-10). Sort q, 1, -3 in increasing order.\nAnswer: -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1070 divide 5167438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3460961 a multiple of 973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 20*q**3 + 2*q - 1. Let g(l) = -l + 6. Let m be g(5). Suppose 0 = 3*j - m - 2. Is 21 a factor of c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (32 + -5)\/(6\/20). Let z(v) = v**2 + 16*v + 3. Let f be (-10)\/15 - 110\/6. Let l be z(f). What is the highest common divisor of l and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 292 - 151. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2512*q - 145699. Calculate k(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of k**3\/3 - 6*k**2 + 10*k - 10. Let r be q(10). Let t be -1 - (1\/1 + r). Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 745, 1579, 2409, 3235, 4057, 4875?\nAnswer: 5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g**2 - 6. Let d(w) = 2*w**2 + 3. Let m(p) = -7*d(p) - 4*r(p). Find the first derivative of m(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 - 9*c + 2. Let r be q(6). What is the lowest common multiple of -3 - r - ((-12)\/(-3) + -1) and 17?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -395 + 398. Suppose -15*m = 4*m - z*m. Is m bigger than -2\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*k**5 - 3*k**2 + k**5 + k**2 + 0*k**2 wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 + 67 = 3*j - 4*q, -2*j + q + 128 = 0. Suppose -j*v = -56*v - 3745. What are the prime factors of v?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g = 544 + 2151. Let t = 501 + g. Is t a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*x**2 - 10*x**2 + 4*x**2 - 30*x**2 to o*x + q + i*x**2 and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + -26. Let d = -34 - j. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3773837, -7547537, -11321237, -15094937, -18868637?\nAnswer: -22642337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 82*t**2 - 5*t - 3. Let q be d(-4). Suppose 591 + q = 6*y. What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 4*n + 87 = 0, -99213*c + 99210*c + 5*n + 125 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -165 + 91 + u**2 + 2*u**3 - 787*u + 75 + u**2 to v*u**3 + x*u**2 + f*u + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -t**4\/4 - 2*t**3 - 7*t**2\/2 + 4. Let q(o) = -2*o**2 - 3*o + 4. Let s be q(-3). Calculate v(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 997771 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 14*j + 9. Let g be w(15). Let u be ((-1)\/3)\/(g\/18). Calculate the greatest common factor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3536823032 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-8 + 19 + -23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 3*v + k + 2*k, 0 = -5*v + 2*k + 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -246, -421, -404, -81, 662, 1939, 3864?\n\"Answer: 19*v**3 - 18*v**2 - 254*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-4093.14\nAnswer: -1227.942","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 9:22 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -6*u + 4*u. Let t(x) = x + 3. Let d be t(u). Differentiate d*o + o - 7*o**2 - o + 1 wrt o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllcclclcaac. Give prob of picking 1 c and 1 l.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-6) + 4\/(-6). Let x(n) = 17*n + 206. Let u be x(-12). Let c = 1 + u. Solve 0 = c*s - 5*z - 24, z + 18 = j*s - 2*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kn when two letters picked without replacement from kggxggnkkigg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 14*y - 8. Let v(n) = 18*n - 14. Let o(r) = 7*b(r) - 4*v(r). Let g(x) be the third derivative of 65*x**4\/24 + 2*x**2. Calculate 5*g(k) - 13*o(k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -261 times 0.17532\nAnswer: -45.75852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 3*y**2 - y - 4. Let b be a(3). Let u = b - 1. Let r be 2\/4 + (-36)\/u. Let p(k) = k. Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -12*r + 24 - 7*r**2 - 2*r**2 - 9*r - 4*r**2 + 10*r**2 = 0?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-35)\/((-10780)\/(-56)))\/(-2))\/((-3)\/(36\/2))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*b + b = -16, -5*b + 10 = 0. Suppose -k*y = y - 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11222002200100 (base 3) to base 9\nAnswer: -4862610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110203 (base 7) to base 13.\nAnswer: 8a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.206 - -6.094. Let m = -2.2 + s. What is m rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 36 + -41 + 39 + 2 + 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((36\/2)\/3 + -5)*197. Is 193 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t + 217. Let i(y) = 3*y + 474. Let u(o) = 6*i(o) - 13*x(o). Let f(v) = -5*v**2. Give u(f(g)).\nAnswer: -25*g**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 5*m - 415, 5*k = 2*m - 0*m - 166. Let b(z) = -2*z**2 - 13*z - 14. What is the smallest common multiple of m and b(-4)?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/3?  (a) 1.05  (b) -2  (c) -35  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkqkktkjqtjttttstqst. Give prob of sequence jq.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3775720 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11322 = -2*t + 24796. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-1))\/((x**(-2\/21)*x)\/x))\/(x**3)**43 assuming x is positive.\nAnswer: x**(-2665\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 - -13. Let g be 8\/t + 408\/20. What is the units digit of -4*(-135)\/g*(-8)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/5224 and 95\/22202?\nAnswer: 88808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 84.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -5*x + 3*k, -2 = x - 91*k + 90*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-8)\/(-3))\/(6\/9). Let j = 4 - n. Suppose j = -0*c - 3*c. Which is bigger: -2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -10. Let d = 1 + g. Let k = 2.5 + -3. What is the third biggest value in -2\/9, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52 - -98. Calculate the remainder when 132 is divided by x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -440*p + 4. Let l(v) = 2200*v. What is l(m(h))?\nAnswer: -968000*h + 8800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13371832769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -2. Let z = i + 12. Let g = 9.7 - z. Which is the smallest value?  (a) g  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 11:40 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 2*w**2 + 4*w. Let a be u(3). Let v = 199 + -285. Let b be v\/(-6) - 4\/(-6). What is the greatest common factor of b and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3780335 is divided by 343660?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a factor of 2834287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 12:27 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1692762485?\nAnswer: 5, 338552497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-2*(-5 + sqrt(343)))**2 - ((5 + 0 + -1*sqrt(7))*-6)**2) + 1.\nAnswer: 80*sqrt(7) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.1 + 13.52. Let m = v - 1.02. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -62616*h - 1440160. Determine n(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -179*f**6\/180 - 76*f**3\/3 + 7*f + 9. Let t(g) be the second derivative of x(g). Let u(j) = -2*j. What is u(t(k))?\nAnswer: 716*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1331) + -4 + -2*(sqrt(1331)*2 + sqrt(1331) - sqrt(1331))**2.\nAnswer: -10652 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -4 - 46*j + 60*j - 35*j + 0. Let y(u) = 42*u + 7. Let t(h) = -5*r(h) - 3*y(h). Give t(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 AM and 4:01 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 1 + 1. Let p(o) = -30*o**2 - o + 2. Let j be p(1). Let n = j - -32. Sort n, t, -1 in descending order.\nAnswer: n, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 671, 854, 1027, 1190, 1343, 1486, 1619?\n\"Answer: -5*t**2 + 198*t + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 6*c - 51 = c, s - c - 57 = 0. Suppose -2*k + s = 14. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 5*m**2 - 10*m - 2. Calculate n(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4*y**2 + y + 32. Let z be o(-13). Let h = 7644\/11 - z. What is the biggest value in -6, -24, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s**3 + 7*s**2 - 3*s - 3. Let z be g(4). Let v be 0 - (-2)\/((-10)\/z). Calculate the highest common divisor of v and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-10) + (-90)\/(-50). Solve -11 = h*d - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -19, -98050, -1\/6?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 134.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15799 - -537231\/34. Let r = -32509\/823 - -1\/1646. What is the common denominator of v and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 50925 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y - 7. Let x be r(5). Suppose -4*c + 4*p + 0 = 8, -16 = 2*c - 5*p. Solve 4*b**2 - 2*b + 5*b - 8*b**c - b - 6*b**x = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/21)\/(2\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -87098504\nAnswer: 34839401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 2 + 1)*(-1 - 2 + 9)*(17*k + 9*k + 25*k).\nAnswer: -3060*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -151469 (base 11) to base 16\nAnswer: -39a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4423, -6, -3 in descending order.\nAnswer: 4423, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.6 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2632.62 millilitres?\nAnswer: 2.63262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dedddddddeddd?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -68835 divided by 11?\nAnswer: -68835\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -471 * 169.\nAnswer: -79599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 259374.5 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.141 + -325.841. Let w = o - -322. Which is the biggest value?  (a) -0.3  (b) -393  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 - 3006 - 8476 = -25*l + 168*l for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10 times -2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 358 + -2504\/7. Is s != 14.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -5, 2, -5\/12, 4733 in decreasing order.\nAnswer: 4733, 2, 2\/5, -5\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/3 + 1916*g**2\/3.\nAnswer: -2*g**2*(g - 958)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 8, 1, 2, 580, 9 in decreasing order.\nAnswer: 580, 9, 8, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -163964, -3, -2, 3, 1, 0 in ascending order.\nAnswer: -163964, -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of 199\/120*j**5 + 7\/18*j**6 + 0*j**2 - j + 1\/3*j**3 - 7\/36*j**7 + 23\/18*j**4 + 0. Determine g, given that v(g) = 0.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4705914180?\nAnswer: 2, 3, 5, 11, 7130173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1454, 2910, 4366, 5822, 7278, 8734?\nAnswer: 10190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1412020 (base 6) to base 3.\nAnswer: -11001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 times 32?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 256 - 796 = -3*p - 3*q, -717 = -4*p - 5*q. Let y = 394 - p. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -45*h + 115. Let r(m) = 9*m + 2. Calculate r(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1374 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(1125)*1 - -3*sqrt(270)\/sqrt(6))\/((sqrt(243)*-1 + sqrt(243) + sqrt(243))\/(sqrt(12)*-3)))**2.\nAnswer: 32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -77*w - 132. Let p be s(-5). Calculate the greatest common divisor of 44 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1200437215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -28*v**4 - 64*v**3 + 12*v**2 + 64*v + 16 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of k**6\/120 - 7*k**5\/60 + 3*k**4\/8 - k**3\/2 + 3713*k**2. What is f(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 + 24. Let x be -3 - ((i - 1) + -7). Let z(n) = -n**2 - 1. Let f(k) = -10*k**2 - 6. Calculate x*f(u) - 6*z(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/(z\/(z**(-2\/3)\/z)))*z*z)**(-43)*(z\/(z*z\/z**(-1\/7)))**(-50))**(-9\/5) assuming z is positive.\nAnswer: z**(9042\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 105*t**2 + 2786*t - 1582. Calculate g(52).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 210*g - 422. Calculate the remainder when i(7) is divided by 200.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a - 2. Let q be h(1). Let v be (-45)\/(-7) - q\/(-7). Suppose 3*k - 120 = -2*k. Calculate the greatest common factor of v and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 158055\/(-14135) + 55\/5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvxdvvxvvdvv. Give prob of sequence dvd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 449 = 17*t + 5*x, 0 = 3*t - 5*x - 1417. Calculate the lowest common multiple of 7832 and t.\nAnswer: 86152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1936165158?\nAnswer: 2, 3, 107564731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44.3 + 44. Let m = -3.7 + r. Which is the third biggest value?  (a) m  (b) -5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*(b**(-1\/4)\/b)\/b*b))**(3\/25)*(b\/b**(-2\/13))\/b*b*b*b*b\/(b*b**3))\/(b*b**(-1)*b\/(b**(-1\/5)\/b))**43 assuming b is positive.\nAnswer: b**(-24517\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 3*m - 594, 0*a = 5*m + 4*a - 958. Suppose 0*o - 3*o + m = -z, 62 = o + z. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21341339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (446*g + 11*g - 95*g)*(3*g**4 - 5*g**4 - 4*g**4).\nAnswer: -2172*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 64*r**2 + 27*r - 38. Let j be p(2). Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 261669.\nAnswer: 3, 87223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2991\/7 - 44753\/105. Put t, 0.01, 4 in ascending order.\nAnswer: 0.01, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -458 + 458. Suppose 0*q - 3*q + 6 = 0. Solve u = -p - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 2:37 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 101244696121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4639851 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48)*2*2)**2 + ((sqrt(108) - sqrt(108)*-1)\/sqrt(9))\/sqrt(4).\nAnswer: 2*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -11. Let r(g) = -3*g - 14. Let i be r(-6). Is i <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 464 and 49280164.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 70*y**2 - 302*y + 104. Determine q(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/3*-1 + 1032\/215. Which is the closest to -2\/9?  (a) q  (b) -0.1  (c) -5  (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35*5\/(-3)*(-162)\/(-378).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of g*p*y - 29631*g*p - 2*g*y + 12*g + p*y - 45*p - 310*y + 221 wrt p?\nAnswer: g*y - 29631*g + y - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11229746 + 10*i**3 - 6*i**3 + 11229746.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of d**5\/20 + d**4\/4 - d**3\/6 - d**2 + 118*d + 2. What is b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 0.291481614\nAnswer: -0.391481614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82540 + 27638 = 18*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113221 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -2 - -6 - -6 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 153 - 17. Suppose t - 559 = 9*r. Do -49 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 668 = 2*g + g - 4*z, -4*z + 4 = 0. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15\/8 in 1\/69, 3\/103, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3\/5 + 6352*v**2\/5 + 524084*v\/5 + 11108792\/5.\nAnswer: 4*(v + 43)**2*(v + 1502)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*i + 8, -4*i - 5*p + 13 = 5. What is the smallest common multiple of ((-1)\/2)\/((-2)\/80) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + 640*m + 2449. Let p be t(0). What is the greatest common divisor of 632 and p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a485c (base 15) to base 11.\nAnswer: -7a5497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 25657, 25649, 25641, 25633, 25625, 25617?\n\"Answer: -8*d + 25665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -38 - -40?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338\/(-4)*88\/(-66) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/528 and -101\/594.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1498933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 250 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -244 (base 5) in base 11?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -53730722 times -1\nAnswer: 53730722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3140 = 3*s - l, 2*s = -l + 2102. Let y = s + -2037\/2. Determine v so that -y*v**3 - 21*v - 183\/4*v**2 - 27\/4*v**4 - 3 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689 a factor of 1555112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 3110202223?\nAnswer: 3110202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18260 is divided by 348.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15008 or 15015?\nAnswer: 15015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 + -15. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3002100220 (base 4) to base 10.\nAnswer: 795688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (3\/380)\/((-19800)\/211750) and -107\/20?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.08, -0.13, -3, -463?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 188 - 132. Suppose -4*p - 627 = -37*p. Calculate the remainder when n is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 1 = -u, 2 + 1 = 3*u + 4*o. Let j(a) = 2*a**2 - 3*a - 11. What are the prime factors of j(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c - 11. Calculate r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -4)\/((8\/(-6))\/((-148)\/111))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w - 27. Let m(b) = -b**3 - 5*b**2 + 6. Let r be m(-3). Let u be l(r). Solve k - u = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19059453.\nAnswer: 3, 7, 71, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32 and 17110520.\nAnswer: 68442080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2077, 2211, 2345, 2479, 2613, 2747?\n\"Answer: 134*m + 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -38 + 12192\/224 - 16. Suppose 24\/7*p**2 - 45\/7*p - s*p**3 + 0 = 0. Calculate p.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 8, u: 2, b: 2, s: 1}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (393\/(-262))\/((-6)\/(-16)). Sort c, -780, 0.\nAnswer: -780, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42607342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u. Let l(q) = 568*q**2 + 34*q. Determine l(m(z)).\nAnswer: 2272*z**2 + 68*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 11:40 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30827457721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9408 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -193 divided by 2093\nAnswer: -193\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j + 5. Determine a(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 531314543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30)\/(-9)*(-36)\/(-15). Let y(j) be the third derivative of j**6\/120 - 3*j**5\/20 + 3*j**4\/8 + 5*j**3\/6 - 2*j**2. List the prime factors of y(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -66, 2, -8, -2, -1467, -3 in descending order.\nAnswer: 2, -2, -3, -8, -66, -1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 25*i**5\/4 - 900*i**4 + 1435*i**3\/2 - 215*i**2 + 19*i - 17. Find u such that g(u) = 0.\nAnswer: 1\/5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 7*v - 5. Let c(u) = 8*u - 6. Let p(i) = -5*c(i) + 6*h(i). Let a(y) = 7*y. Give a(p(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 55\/4 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*n = 44922 + 36182 + 52960. Does 56 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 58717, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cddccuccduudd. Give prob of picking 2 u and 1 d.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/6, -8, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -16420b (base 14) to base 12\nAnswer: -31726b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/((-340)\/(-8)))\/(6\/9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101829.\nAnswer: 3, 7, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/8 + 659*y**2\/8 + 3445*y + 34950.\nAnswer: -(y - 699)*(y + 20)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (112*(-37)\/(-2368))\/((-6)\/(-168))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26.81 + -27. Let b = a + -3.81. Let f = -519 - -521. What is the second smallest value in -1, f, 1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -175, -386, -611, -856, -1127?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40087765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 0 - 1 - 2*b**3 - 7*b**2 - 7*b + 1. Let x(z) = -z**3 - 6*z**2 + 9*z + 8. Let j be x(-7). Calculate p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 185445 and 482157.\nAnswer: 2410785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -63 + 68.9. Let o = r + -0.9. Let k = 4.5 - o. Which is the third biggest value?  (a) 1  (b) k  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 2, -2, 65, -145 in descending order.\nAnswer: 65, 15, 2, -2, -145","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 + 27. Let u be (-16)\/12*3\/m. Let q = 59\/93 - -1\/31. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 388*k - 1109*k + 411*k + 380*k - 173.\nAnswer: 70*k - 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yzyyzyzyzyyyyy. Give prob of sequence zyzy.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66393 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.59 + 3.11. Let q = -3.61 + w. Is 0.2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -836 - -39?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2133 - 1?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 516 divide 845208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 + -23. Let q be (-4 - -6) + 3 - b. Suppose -q*m = 1 - 3, 0 = 4*l + 3*m - 151. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mfgffghnggggf. What is prob of picking 1 n, 1 m, 1 f, and 1 h?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n = 106 - 28 - 48 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2792125km to centimeters.\nAnswer: 27921.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(96)*3)\/(sqrt(36)\/(sqrt(3) - sqrt(9)\/(sqrt(3)*3))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161421?\nAnswer: 3, 13, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + 7*h. Let q(r) = r**2 - 6*r. Let g(f) = 7*q(f) + 6*w(f). Let o(n) = 3*n - 7. Calculate o(g(t)).\nAnswer: 3*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1298 - 366. Suppose 3*h + 5*d = v, -h = -2*d - 323 + 27. Let a = h - 125. What are the prime factors of a?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3\/11, -3, 0.1, -105?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1919 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 14 and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 5*o**2 - 35*o + 17. Let v be t(-9). Suppose -114560 = 8*u + v*u. Round u to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*h = 10*h + 50. Solve -5*d = 4*k - h*k, k + d + 6 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 57 = 5. Put 1, -2, -1, k in decreasing order.\nAnswer: k, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2433146 and 4458.\nAnswer: 5423482434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ugn when three letters picked without replacement from nunpupuppg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-42) + 78\/63\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1116427995 by -173655.\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7732096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 161979 (base 10) in base 6?\nAnswer: 3245523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 5, -19 in increasing order.\nAnswer: -19, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 11:49 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at least as big as 5\/288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036558032 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11248 - -8576. What are the prime factors of c?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -122362006*p**2 + 21087767 wrt p?\nAnswer: -244724012*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-10)*4\/3. Suppose -r*s + 4*u = 3*s - 31, 0 = -s + u + 7. What is the third derivative of -5*v**3 + 0*v**3 + 7*v**2 + 4*v**s wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**3 - 2*u**2 + 3. Let p(n) = -5*n**3 + 5*n**2 - 8. Let h(t) = 3*p(t) + 8*w(t). Let g be h(1). Put 1, -2, g in increasing order.\nAnswer: -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 4*b + 2*b)*(0*b**2 + 2*b**2 - b**2) + 10*b**3 - 6*b**2 + 6*b**2 + (-4*b + 5*b - 2*b)*(-4*b**2 + 0*b**2 + 3*b**2).\nAnswer: 9*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b**2 + 47*b + 35. Let o be f(-15). Solve o*q = 24 - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 80\/3507 and -53\/10.\nAnswer: 35070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.22*413024.\nAnswer: -90865.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 553*r + 554*r = -49, 2*d = 3*r - 35 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 511112 (base 6) to base 8.\nAnswer: 116764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38137 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 29. Let d(k) = k + 37. Is d(p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 80 = -86*z + 81*z, f - 14 = -5*z for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*a = -1555 + 1220 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 368717849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 6*l**2 + 3*l + 7. Let a(w) = 39*w. Give r(a(i)).\nAnswer: 9126*i**2 + 117*i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 9*g**2 + 25*g - 20. Let u be o(5). Solve 0 = -4*n + y + 4, -u*n = 8*y - 4*y + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*a**3 - 3*a**3 - 101 + 100 - 108*a**2.\nAnswer: 9*a**3 - 108*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 20*m - 156. Let l be g(26). What is the third biggest value in -1\/19, 2, l?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -l - 2*t - 38, 0 = -4*l - 4*t + 44. Suppose 0 = 5*q - 2*y - 366, 84*q = 87*q + y - 224. Calculate the remainder when q is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/(-32))\/((-141810)\/1392)\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 35\/4, 0.1, 1.3, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 63 = 4*z + 17, 0 = 5*z + 5. Let o be ((-1)\/1)\/((-3)\/63). Let r = o - 2. What is the remainder when r is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-19))\/(x\/(x**(1\/9)*x)) assuming x is positive.\nAnswer: x**(181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -10595, 17, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 164?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 12 = 0, 5*w = -5*z + z + 20006. Let t(c) = -c + 6. Let s be t(4). Suppose u = -o + 4*u + 1012, -4*o + s*u = -w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (3 + 3 + -7)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38893 and 207.\nAnswer: 350037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 0.3, 1\/4, -2, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -10*i**3 + 2*i**2 - 10*i + 8. Suppose 0 = -3*b + 9 + 3. Suppose 0*x + 32 = -b*x. Let s = -151 + 152. Let j(g) = -g**3 - g + 1. Give s*n(r) + x*j(r).\nAnswer: -2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -33 - 2*o**2 - 35 - 7*o - 43 + 104. Let f(w) = -w - 1. Give -28*f(b) + 4*l(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1081 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/10 and -61\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 5 - 1 - 2) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/6)\/(-2 - 2). Sort -3, y, 4\/3, -1 in descending order.\nAnswer: 4\/3, y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 + 10101110111010001001100000?\nAnswer: 10101110111010001001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.84 - -0.84. Put -3, -4, r, -2 in descending order.\nAnswer: r, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1780.942l to millilitres.\nAnswer: 1780942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 8*f**2 - 3*f + 6. Determine z(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 256951560 to the nearest integer?\nAnswer: 16030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -319*r**6\/2 - 776*r**3\/3 - 831. What is the third derivative of s(z) wrt z?\nAnswer: -57420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 86, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-18)\/12 + (-6)\/(-4). Suppose u = -2*b - 1 - 5, 2*d + 5 = -3*b. Let o be 10\/(3 - (-1 - -3)). Solve -10 = -4*s - d*k, 5*s - 7 = -k + o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 times 413?\nAnswer: -11977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -9*n**2 - 5. Let o(a) = -8*a**2 - 4. Let g(c) = 5*o(c) - 4*w(c). Let x(s) = 6*s - 892*s**2 + 894*s**2 - 6*s. Determine g(x(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.06424 and 13878.\nAnswer: 13877.93576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 363664?\nAnswer: 2, 7, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49\/41 - 11923\/10045. What is the common denominator of 139\/2058 and o?\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 102 - 70 = 0. Let b be ((-450)\/(-180))\/((-30)\/i). Factor 4\/3 + b*h**2 - 8\/3*h.\nAnswer: 4*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of 0*f**2 + 0 + f - 5\/12*f**4 - 1\/6*f**3. Suppose 3*w - 3 = 6*w - 5*o, 2*o = w + 1. Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -18  (b) -17  (c) -26  (d) 4  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, -7\/5, 91, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -414220 - -10113?\nAnswer: -404102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2549284571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17949757*f**2 + 9143364 with respect to f.\nAnswer: 35899514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1111051.89ns?\nAnswer: 0.000000012859396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + i + 7. Let k be o(0). What is the second derivative of -11 - 3*y + 11 - k*y**2 wrt y?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - a = 4430, -2*u + 5*a + a = -1744. Solve -3*r - 875 + u = 0, 12 = -2*z + r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-7) + 10 + 330. Calculate the highest common factor of 12 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.684*-271.\nAnswer: -185.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, 18, 26\/7, 23.2?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (108 - 48) + -2 - (14 + -2 + 1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*w = -67*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/(78\/52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(88)*-1 - ((sqrt(88) + sqrt(88) + -2*sqrt(88))*-4 - sqrt(88))))\/(sqrt(128)*-3 - (sqrt(72) + 2*sqrt(72))).\nAnswer: -4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*20\/70?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1731.161 kilometers?\nAnswer: 1731161000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 1\/15*n**6 - 1\/20*n**5 + 3*n + 0 + 0*n**3 - 1\/6*n**4 + 0*n**2 + 1\/42*n**7. Factor h(f).\nAnswer: f**2*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*g + 5*f - 140, -5*g + 555 = -4*f. Let t = -113 + g. Suppose 2*u + 0*u - 4 = 0. Solve -t*i = i + 5*p - 4, -u*p = i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 divided by 214953?\nAnswer: -44\/71651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771 is divided by 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - 3 + 6 - 8 + 6*j. Let w be k(-8). Let m = 0 + w. Calculate the highest common factor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*z - 2*z**2 + 4*z - z - z**3 + z in the form q*z**2 + s*z + p + g*z**3 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-2 - (-2 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 10) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-5*sqrt(104) + sqrt(104)))\/(sqrt(8) + sqrt(8) + (sqrt(8) - -3*sqrt(8)*5)).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 9*x + 21. Let y be 4*(-3)\/24*(-1 + 1). Let q be -9 + 3 + y + -3. Is f(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 0. Suppose u*d = -0*d. Solve d*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 2*m, 3*a - 4*m + 3*m - 10 = 0. Suppose -2*n - 12 = -0*n. Let c = n + 6. Solve 4*h + o + a = 5*h, 5*o = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -876\/37 + 20591\/740. Find the common denominator of q and (-396)\/(-160) + 9\/(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -5*b + 4. Let o(k) = -4 + 13 - 10*k - 3*k + 2*k. Suppose -6*t = -t + 120. Let d = t - -15. Calculate d*q(z) + 4*o(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/84)\/(27\/(-36)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + 4884?\nAnswer: 4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**3 + 6543*u**2\/4 - 3685*u + 819 = 0.\nAnswer: -1638, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, m: 4, x: 2, q: 1}. What is prob of sequence xm?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 431 or -3\/4?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 29 = 5*t, 0 = k - 3*t - 13 - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) 0  (c) 0.4  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, t: 12}. What is prob of sequence tz?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10128939.\nAnswer: 3, 3376313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 + -27. Suppose 5*n = 7*n - s. Solve -6*y**3 - 4\/3 + 8*y**n - 2\/3*y = 0 for y.\nAnswer: -1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6699 and -5500560590.\nAnswer: -5500560589.3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + b - 3*b)*(-2*b**2 + 4*b**2 - 3*b**2)*(-b - 2*b + 5*b)*(1 + 0 + 1).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*x - 4 - 5 + 0*x - 7*x - 3*x - 5012*x**3 - 20*x**2 wrt x?\nAnswer: -30072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*r = -23*r - 102153. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**3 - 161*t**2 + 57*t + 182. Calculate n(-54).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - (118 - (112 + 11)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1940*c**2 - 90*c**2 - 2121*c**2 to l*c + n + s*c**2 and give s.\nAnswer: -4151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3746*j + 108282 - 15613 + 60917 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -25343\/32 greater than or equal to -792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 247566023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 512763133?\nAnswer: 61, 941, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1757, -12480, -41181, -96848, -188469, -325032, -515525?\nAnswer: -768936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 8  (b) -0.08  (c) -31  (d) 5\/22  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (19 - (2 - -32)) - (0 - 28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 2*q = 20. Suppose 0 = -4*r - 2*x + 80, q*x = -r + 4 - 2. Let d = r - 11. What is the remainder when 32 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 795794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 43*d**2 + 17. Let n(l) = -14*l**2 - 6. Calculate -6*h(u) - 17*n(u).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -5 - 2 + 6*c + 2. Let t(w) = 7*w - 6. Give -6*q(m) + 5*t(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/((-9)\/(-4)) - 538\/(-24) and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 49, -27, -217, -575, -1155, -2011, -3197, -4767?\n\"Answer: -9*c**3 - 3*c**2 - 4*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/8)\/(5\/(-330)). Is -223*(-21 + 0)*11\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/4  (b) -4  (c) 0.537  (d) -5  (e) -7.5  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -14 - 73*q + 13 + 27 - 83*q. Let h(a) = 31*a - 5. Give -26*h(f) - 5*i(f).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65d07c (base 14) to base 11.\nAnswer: -1a4a713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1779 - 1793 = -7*r. Let t(s) be the first derivative of -2\/3*s**6 + 4\/5*s**5 + 0*s**3 + 0*s**4 + 0*s + 0*s**r - 12. Suppose t(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (107*m**4 + 90*m**4 - 176*m**4 + (m**3 + m**3 - 4*m**3)*(3*m - 2*m - 2*m))*(3 - 1 + 0) - 3*m + 3*m + 2*m**4.\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*k**2 - k**2 + 3*k**2)*(-1 - 3 + 6 + (-4 + 0 + 2)*(4 - 5 + 3) + 3 - 3 - 2) to l + x*k**2 + v*k and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.15 + -0.15. Which is the nearest to 1?  (a) l  (b) -2\/11  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13483037*m**2*u - m*u - 8*m + 28832*u - 9 wrt m?\nAnswer: -26966074*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 5 - 2 - (0 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*w - 4*c, -17 = 3*c - 32 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.9 + -0.1. Let r = 70\/963 - -16\/107. What is the nearest to p in -2\/35, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p**3 - 16*p**2 + 820*p + 832 = 0 for p.\nAnswer: -16, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -47034, -43825, -40616, -37407, -34198, -30989?\n\"Answer: 3209*p - 50243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 3*s**2 - 37*s - 232. Let l be p(-5). Solve -2*j = 3*k - 14, 0 = 2*k - 7 + l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15011 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 484102.3 kilograms to nanograms.\nAnswer: 484102300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18013 - 2412. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -56, -6, -96 in descending order.\nAnswer: -6, -14, -56, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/21))**(-15))**(-49) assuming f is positive.\nAnswer: f**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 5:28 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 56 - 2*l**2 + 30 + 153. What is the hundreds digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 276*z = 13816 - 7192 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 2)*(2*w - 4 - 2*w + 2*w)*(4*w - 2*w + 2 + 4*w) to y*w + f*w**2 + d and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h - 6*h - 9 = 0. What is a in -a**2 + 2*a - 11*a - h + 11*a = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 6 - 26*m**2 - 27*m**2 + 57*m**2 + 3*m**3. Let t(b) = -2*b**3 - 3*b**2 - 5. Suppose -12 = -x - 3*x. Calculate x*s(j) + 4*t(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 110 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 147277696 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21923081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q*q**(2\/25))*q)\/q**(-4\/5))\/(q**(-1)\/q)**(2\/23) assuming q is positive.\nAnswer: q**(-61\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 0.2, -2\/293643, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 17*t**2 - 63*t - 2. Let c be l(-16). Let d = -748 + c. Let p(y) = -y + 1. Let s(a) = 4*a - 1. What is d*p(q) + s(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76658111?\nAnswer: 76658111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 1143*h - 387. What is the hundreds digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 9*r - 62427 + 62392 = 0, -5*g + 4 = -2*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 - 689 = -5*l. Let c = l + -119. Factor 2\/9*q**5 + 2\/9 - 2\/3*q**c + 4\/9*q**2 + 4\/9*q**3 - 2\/3*q.\nAnswer: 2*(q - 1)**4*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-161992)\/(-40) - (168\/35 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 34*v**3 - 29 + 62.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1079 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.04, -0.6, -604\/19, 0.09, 5?\nAnswer: -604\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 3. Let u be z(0). Let p(o) = 2*o**2 + 13*o - 5. Let f be p(-7). Suppose 5*g + 2 - 27 = 0, 7 = -f*h + u*g. Solve -y + h*y - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 12 = 3*h - 4*p, 5*p - 2 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4\/3, -1, -0.2, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 14, 9.\nAnswer: 1, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/35*6\/12.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -172, -4, 36?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.82 + 10.87. Let d = o + -0.05. Let b = 5 - d. Are 1 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95 divided by -366.\nAnswer: 95\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 32*f**2 + 29*f + 18. List the prime factors of h(32).\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 5*i = -4. Let f be 6\/(-15) + i\/(-10). Suppose f*k - k = -2. Solve -3*v - 4*b = -k*b - 15, 3*b = -3*v + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of -7*k**4\/12 - 3*k**2\/2 - 18740*k. Let t(a) be the second derivative of -a**4\/3 - a**2 - 2*a. What is 3*h(w) - 5*t(w)?\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j - 8730 = -77*j - 4*j. Calculate the smallest common multiple of 1150 and j.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -230 (base 5) in base 4?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of 0 + 3\/7*m**7 + 15*m + 0*m**6 + 0*m**5 + 0*m**4 - 2*m**3 + 0*m**2. Find the second derivative of i(z) wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06049159 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.34, -3\/14, -10\/13?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**5\/5 + 286*f**4\/5 - 358*f**3 - 15414*f**2\/5 - 12456*f\/5 + 29376\/5 = 0.\nAnswer: -3, 1, 12, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47 - 46.9. Let c = -12.2 - -2.2. Let j = 85\/208 + -9\/16. What is the closest to c in j, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d. Suppose -20*w - 3 = -21*w. Let v(n) be the second derivative of 0 + 0*n**2 - 5\/6*n**w - 2*n. Calculate y(v(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7266 and 5978?\nAnswer: 3102582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + 9*x**2 + 3*x - 2. Give o(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of x**5\/15 + 2*x**4\/3 + 8*x**3\/3 - 3*x**2. Find l, given that q(l) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*w + 2*p, -6*w - p = 6 + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m**2 + 0 + 0)*(39 - 227 - 163 - 23) in the form k*m**2 + u*m + p and give k.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 5*x - 4*x)*(2 + 4 + 1 + 1 - 2 + 3 + (-4 + 1 + 5)*(2 - 1 - 2)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*((q**(1\/9)*q)\/q)\/q)\/(q*q*q*q**(-11)*q) assuming q is positive.\nAnswer: q**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6382.\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 - 0. Let c(x) = x**2 - 12*x + 13. Let i be c(n). Suppose -18 = 5*k - 8*k. What is the greatest common factor of i and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13688451967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -283 + 276. What is the lowest common multiple of 46 and 7\/((-56)\/(-24)) - a?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 668024606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.94 - -14. Let g = 0.06 - m. What is the closest to g in -0.5, -0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24.49 + 179.09. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4269385 is divided by 21672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 11:18 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.04 - 2.04. Let l = 239 - 243.82. Let r = l + -0.18. Which is the nearest to j?  (a) r  (b) 2\/21  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 152996997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 29386 = -u, -5*s - 48970 = -u - 4*u. Let x = 215431\/22 + s. Calculate the common denominator of 113\/14 and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 214577662 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**2. Suppose 3*b - 14 = -4*b. Let y(s) = 14*s**b + 8*s**2 - 32*s**2. Calculate y(c(h)).\nAnswer: -40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 752 - 361. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 9*u + 8201 - 8207 + 2*u. Let r(d) = -2*d**3 + 14*d**2 - 2*d + 18. Let i be r(7). Calculate g(i).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 5*f - 3*k - 94, 0 = -f - 2*k + 14. Calculate the highest common factor of f and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1023 + -9217\/9. Let x be 4 - 0\/(-2) - 3. Find the common denominator of k and (5 - x) + (-83)\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 772 + -512. What is the highest common factor of v and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmffmmmmjmmmjjmmmmmm. What is prob of picking 2 j, 1 m, and 1 f?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-10) + 2\/(-10). Suppose d = 2*o - 4 - 4. Let c be (8 - 3)*2\/2. Solve 2*s - s - 4*j - 4 = 0, -c*j + 16 = o*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(4*k**4 - 4*k**4 - k**5) + 2902*k**5 + 6214*k**4 - 6214*k**4 - 3 - 2*k**5 + 3 + (3 - k**4 - 3)*(-k - 4 + 4).\nAnswer: 2903*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, g: 4, r: 1, l: 1, f: 3, m: 2}. What is prob of picking 1 m and 1 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, e: 4}. Give prob of sequence ejj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 14*o - 13*o = 0, -4*o - 8 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7\/6 + 59\/30. Let s be -2*(-1)\/(-15) - ((-6916)\/(-5880))\/(-19). Which is the smallest value?  (a) -4  (b) s  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 892 is divided by 155?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-276*o - 249*o - 346*o)*(o - 2*o + 2*o)*(-6 + 3 + 1) to s + i*o**2 + r*o and give i.\nAnswer: 1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -43 + 349\/8. Let b(x) be the first derivative of -x**4\/4 + 31*x**3\/3 - 15*x**2 + 2*x - 29. Let q be b(30). Is i less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 5) + (-15)\/(-5) + 0. Let f be ((1\/(-8))\/d)\/(-1). Put -4, f, 5\/6, -0.1 in descending order.\nAnswer: 5\/6, f, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 - 0. Put 1\/5, 0, -2\/11, j in decreasing order.\nAnswer: 1\/5, 0, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146 = -86*x - 112 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 - 5*m + 2. Calculate the remainder when s(-4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 270 and 43715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.571 rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**3 + 1541*f**2\/5 + 1221*f - 1350 = 0. What is f?\nAnswer: -150, -5, 9\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2988?  (a) 2  (b) 3  (c) -4  (d) -6  (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1010, 3827, 8468, 14933, 23222?\n\"Answer: 912*g**2 + 81*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmqzqzmq. What is prob of sequence zzq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that p**3\/3 + 83*p**2\/3 + 1840*p\/3 + 1600 = 0.\nAnswer: -40, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.53 - -3.43. Let g = q - 3. Suppose -3 = -3*j - 15. What is the nearest to -1\/2 in g, 0.1, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/14 - 4\/((-11)\/(3575\/(-70))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -76 + 169. Find the first derivative of w*b - 178*b + 25 + 14*b**2 + 85*b wrt b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o**3\/4 - 111*o**2\/2 - 451*o\/4 + 168 = 0. Calculate o.\nAnswer: -3, 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + 3 - 5) + -10 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, -0.01, -4, 0.4, 3\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -5 - (-798 + 824)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-10)*(-59)\/(-6) - (-10)\/(-50)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 419 - 546 = 0. Is l greater than or equal to 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 5*c + 18, 0 = 2*d + 10*c - 12*c + 18. Let q(v) = 3*v + 16. Determine q(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5374 (base 13) to base 11\nAnswer: -8784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of w - 15. Let l(u) = -1 - 4*u**2 + 0 + 3*u**2 + 2*u. Let v(a) = -3*c(a) + l(a). Determine v(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {o: 6, z: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6*(-7190)\/360 - 1\/(-6). Suppose 0 = 7*t - 12*t + w. Calculate the smallest common multiple of 21 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 88\/45 and 86\/1182795.\nAnswer: 3548385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/5*(-50)\/15. Let c = v - 6. Suppose -h - 3*p - p = -77, c*h + 3*p = 169. What are the prime factors of h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -157748 (base 14) to base 12\nAnswer: -302418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 - (-9 + (-9 - -15) + 30 + -14)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 7:00 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 4*z + 213, 8 = -5*z - 12. What are the prime factors of a?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*j**3 - 64 + 2*j**2 + 66 + 3*j**4 - 2*j**4 + (3 - 3 + 2)*(2*j**4 - j**4 + 3*j**4) as f*j**2 + z*j**3 + i*j + q + h*j**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 36\/(-30) + 18\/(-10). Put k, -5, 3 in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 872069 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -49102379 equal to -49102379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77 - ((40 - -99) + -39).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -426, 2, -0.4 in descending order.\nAnswer: 2, -0.4, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -6023 and -6025 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 5*h - 20. Let v be m(8). Factor 2*s + v + 6*s**3 + 9*s**3 - s**3 - 4*s**2 - 16*s**3.\nAnswer: -2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 117*t**3 + 143959*t**2 - 1 - 44601*t**2.\nAnswer: -117*t**3 + 99358*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/3)\/u*(u*u**3*u*u*u)\/u*u)**23 assuming u is positive.\nAnswer: u**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -833 divided by -270?\nAnswer: 833\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**14*(x\/(((x*x*x**(33\/7)*x*x)\/x*x)\/x))\/x*x)\/(x**(-1\/24)\/x**40) assuming x is positive.\nAnswer: x**(7951\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83*d**4 - 280*d**4 + 126*d**4)*(3 - 1 - 3) + (3 - 2*d**2 - 3)*(-d**2 + d**2 + d**2) + (-d + 7*d - 3*d)*(-d**3 - 3*d**3 + 2*d**3).\nAnswer: 229*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 84775.25ml?\nAnswer: 84.77525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16884 + 13*w - 17*w - 8366.\nAnswer: -4*w - 25250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -92.\nAnswer: 5\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2. Suppose -50*s = -40*s - 30. Let r(t) = -242*t + s + 334*t - 3. Determine r(j(h)).\nAnswer: -92*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 4. Sort 1, 3, f.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 85911 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 5. Suppose 6*u - 11*u + 210 = 0. Let j be (u\/9)\/((-2)\/(-3)). What is the greatest common divisor of n and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.03+82423500835\nAnswer: 82423500834.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -315 divided by -5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*w + 5011 + 317 = 0 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -4, -3*q + 3*x - 14 = -164. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.088 take away 68208930.4?\nAnswer: -68208930.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = 4*o - 98. Solve -3*s - 2*d - 2 = o, 1 = -2*d + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 - 1) + (-38 - (16 + -25) - 35)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -44 (base 13) to base 14\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 1313\/(-65) - (-8)\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r + 20. Let i be y(-7). Let m = i + -5. Suppose -112 = g - 3*g. Calculate the greatest common factor of m and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**4 - 3*n**4 + 4*n**4 + (3*n**4 + 4*n**2 - 4*n**2)*(0 + 0 + 2) - 3 + n**4 + 3 + 0*n**4 + 4*n**4 - 3*n**4.\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 52*z**3\/3 - 218*z**2 - 62200*z\/3 + 42200 = 0.\nAnswer: -30, 2, 1055\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-40)*-1 + (4\/(-35) - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2*(sqrt(1053) + -1 + sqrt(1053)) - -3*(sqrt(1053) + sqrt(1053) + 0 + -3)**2.\nAnswer: -288*sqrt(13) + 12661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = p, -1519*u - 5*p = -1515*u - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 2 = -x. Let w(g) = -x + 1 - 3*g. Let h(j) = 2*j + 2. Let b(n) = -3. Let t(q) = -2*b(q) - 3*h(q). Determine t(w(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 85, 117, 147, 175, 201, 225?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -468723 + 468726. Let x be 2\/(-4) - (-7)\/2. Solve o = 5 - 1, k*v - x = -3*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 62 = -2. Let g(a) = -a**3 + 11*a**2 + 13*a - 18. Let j be g(y). Let u(v) = v**2 + 6*v + 5. Let s be u(j). Put -0.2, s, 4 in decreasing order.\nAnswer: s, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, g: 3, y: 10, m: 4}. What is prob of sequence vmv?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84 + -84. Suppose 2*u - 4*f - 20 = 0, u + 4*f = -m*f - 8. What is the derivative of 9*w**4 + 128 + 20*w**4 + w**u - 136 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h - 22. Let o be i(9). Suppose 0 = -2*x - 1 - 3. Let p = 5 + x. Solve -o - 1 = -p*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -4 + 0 - 13*z**2 - 2 + z**3 - 13*z. Let n be u(14). Suppose 0 = 2*t - 5*t. Solve 3*b = -x + 3*x + 7, t = -2*b - 5*x - n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632923.\nAnswer: 632923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11370 and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -458 + 458 + 16*r**2 - r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -3*b**2\/7 - 155136*b\/7 + 39754755\/7 = 0.\nAnswer: -51967, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate u**2*w + 616242*u**2 - u*w - 6*u + 824*w + 1089 wrt u.\nAnswer: 2*u*w + 1232484*u - w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 14, 5, 1 in descending order.\nAnswer: 14, 6, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of y**3 - 747927*y**2 + 5*y - 10333923 wrt y?\nAnswer: 3*y**2 - 1495854*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154193?\nAnswer: 13, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71265*v - 71094*v - 6840 = 0 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*g - 2362 + 787 = -236*g. Solve 37*z + 3*j = 35*z + 12, -j = g*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.24 + -0.14. Put -0.6, -1\/2, t in ascending order.\nAnswer: -0.6, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2130684 and 219222?\nAnswer: 121448988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1 - 2*s**3 + 3 - 8*s - 13*s + 2*s**4 + 79*s wrt s.\nAnswer: 24*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - -2.7. Suppose d = -5*k + 16, -2*d + 8 = -d + k. Let b be (-8 + -2)*(-3)\/d. What is the closest to 0 in 0.2, p, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126.8 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 4621, 3.\nAnswer: -3, -2, 3, 4621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/28)\/((-503)\/(-288722))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 674505253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -37, 3 in descending order.\nAnswer: 3, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-72)*9)\/((-15)\/(-1230))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6958177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -20350480 divided by 20?\nAnswer: -1017524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 1. Let x(d) = d - 8. Let l(b) = -3. Determine v*x(k) - 8*l(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from immi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 13*w + 145 = 0, 48*a = 112*a - 71*a - 6*w + 81 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**4\/8 + p**3\/6 + 10*p**2. Give k(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 17  (b) 20  (c) -142  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41432 is divided by 1381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -22057460 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -7*j**2 - 3*j - 6. Let c be 1\/((-3)\/135*3*3). Let u(f) = f**2 + f + 1. Suppose 3*l + 3*x - 4 - 2 = 0, 19 = -4*l + 5*x. Give c*u(n) + l*k(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 16*u**2 + 48*u - 221. What is s(6)?\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -m**7\/630 + m**6\/180 + m**5\/180 - m**4\/36 - 11*m**2. Factor l(g).\nAnswer: -g*(g - 2)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 9:37 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/10)\/(6\/(-30)). Let p = -3 + w. Let r be (0 - 5)\/1*-1. Solve p*c - 5*c = -2*j + 1, -8 = -r*c - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 11*z**2 + 7. Suppose -15 + 45 = 6*u. Suppose 0*j + 5*j + u*w = 0, 3*j - 4*w - 21 = 0. Suppose j*h + 22 = -11. What is p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b - 7 + 3 - 4 + 8. Let h(y) = -153*y**2 + 3*y. What is h(o(w))?\nAnswer: -612*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -85 + 103. Suppose -x = -c - 21. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4895 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 6*v**2 - v + 7. Let f be i(6). Is ((-4)\/(-12))\/(f\/57) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 798698 and 776.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 33*s + 7751 = 37*s, -3*s - 7723 = -5*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/30 - 47\/(-15). Let s = 2 - c. Let b be 8 - -6 - (s - -2). What is the highest common divisor of 39 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 748?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 177 + 30. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48 - 372*c - c**2 + 732*c - 361*c to the form n*c**2 + w + d*c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -23*v + 1. Let r be d(-3). What is the greatest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 214113 - 1031343?\nAnswer: -312230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 156 and 22092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 3*u + 63, u = -0 + 1. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6255)\/(-153) - 2\/(-17) is divided by 2\/((-4)\/6) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n + 4. Let r be x(0). Suppose -u - b = r*b - 9, 21 = 4*u + 5*b. Solve 10 = k + u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 914 + -912. Suppose 25 = 6*t - t. Suppose j*p = t*d - 0*p - 45, 0 = -4*p. Calculate the lowest common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.96 times -3599\nAnswer: -7054.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41612\/3 or 13871?\nAnswer: 41612\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 417, -7, -10, 5, -17, -5 in decreasing order.\nAnswer: 417, 5, -2, -5, -7, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2 + 2 = 0. Let n = t - -2. Let k(c) = 7*c - 1. Calculate the least common multiple of 2 and k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34804 + 26292 = 1010*j - 36874 for j.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*g - 52 - 8. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7842, 7846, 7848, 7848?\n\"Answer: -h**2 + 7*h + 7836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**3 + 5*w**2 + 11*w + 1. Let v be l(-2). Suppose -x = 5*d - v, -18 = 5*x + 3*d - 89. Suppose x*h = 3729 + 32918. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10899275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 6552348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5850 and 5460.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 497007.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 89 + -84. Suppose x*f - 334 = -4*r - 110, -2*f + 3*r = -108. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of w**3\/3 + 12. Let u(q) = 21*q. Give c(u(t)).\nAnswer: 441*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 9*d - 12. Calculate the remainder when p(9) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 390 - 391. What is the biggest value in 2, 0.03, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 24505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1872980 and 50978.98?\nAnswer: 1822001.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(2) + -2 + sqrt(2) + -1*sqrt(18))**2 - ((2*sqrt(40))\/sqrt(10))\/(sqrt(24)\/sqrt(192)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -15, -3*y + 123 = -0*l + 3*l. Let i = y + -36. Factor 3*a**4 + 3*a**4 + 0*a**2 + i*a**5 + 2*a**2 + 6*a**3 + 0*a**2.\nAnswer: 2*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37565, 151034, 340143, 604886, 945257, 1361250?\nAnswer: 1852859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -545*m = 1016 + 74 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-263))\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42 - -32. Let o be (-6)\/3 - (6 + u). Let m(h) = 18*h - 3. Let y(a) = a. Let g(f) = -m(f) + 15*y(f). Give g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, c: 2, m: 1, u: 2}. Give prob of sequence ccmy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4512 = t + 2094, -s - 32997 = 5*t. Let v = t + 105681\/16. Let u = 12129 - 145435\/12. Calculate the common denominator of u and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 288186 and 0.265.\nAnswer: 76369.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/1242 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7*(-5 - (-180)\/28). Solve 0*p - 2*m = -3*p + 2, -3*m = -p + r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 249226 and 2866099?\nAnswer: 5732198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -16513 (base 8) to base 16\nAnswer: -1d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 1 + 6*l**2 - 5*l**2 - 7 + 9*l - 1. Let t be z(-10). Suppose t*r = -2*u + 53, -u + 3 = -2*r - 13. Calculate the remainder when 43 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41.4 - 41.23. Which is the smallest value?  (a) v  (b) 9  (c) -2\/3  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 7*w**3 + 53*w**4 - 3*w**3 + 0 - 54*w**4 - w**2 as d*w**2 + p + f*w**4 + s*w**3 + y*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -2431 and -21887\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001478388 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3794895?\nAnswer: 3, 5, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003495 to six dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6589 - -6594. Let z(y) be the first derivative of 11*y + 1\/3*y**3 - 16 - k*y**2. What is z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 455281387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 117\/1677 - 3990\/(-129)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1287\/(-26) - (1*2)\/4. Let u = n + 53. List the prime factors of (u\/15 + 56\/(-5))\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2184*n**2 + 2184*n**2 - 6548*n**2 + 37*n**3 + 2180*n**2.\nAnswer: 37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (-56)\/(-20) + (-792)\/(-10). Let j = m - 72. Solve 25 = -3*s - 2*l, 3*s + 4*l = j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16215*v - 8359*v - 8200*v - v + 4*v - 2*v + (2*v - 4 + 4)*(-2 + 4 + 0) - 1 + 2*v + 1 - 5*v + v + 5*v in the form a*v + w and give a.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kpep when four letters picked without replacement from {p: 2, e: 1, k: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9920330.471 and 7.\nAnswer: 9920337.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4852 + -4850. Let s(d) be the first derivative of 15*d + 9\/4*d**4 + 0*d**3 - 13 + 0*d**j. What is the derivative of s(o) wrt o?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11357*f**2*u**5 - 423*f**2*u - 425*f**2 - 2*f*i*u + 605*i*u**3 + i*u**2 + 4*i + 1 wrt u.\nAnswer: -681420*f**2*u**2 + 3630*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-2))\/((35\/(-518))\/(-5)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*i, 7*g + 2*i - 10 = 3*g. Let j(k) be the first derivative of k**2\/2 - 4*k + 2168. Calculate j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**3 + 44*l**2 + 6*l. Let t(n) = -11*n**3 - 88*n**2 - 13*n. Give 13*c(z) + 6*t(z).\nAnswer: -z**3 + 44*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/37  (b) -0.13  (c) -4  (d) 0.1  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -21+-16.28\nAnswer: -37.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1077877432 to the power of 1\/2, to the nearest integer?\nAnswer: 32831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 - j + 1)*(-4*j + j + 5*j) + 9*j - 23*j**2 - 9*j)*(3*j**2 - 5*j**2 + 0*j**2) in the form g*j**3 + z*j + a*j**2 + u*j**4 + p and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*(((sqrt(462) - (sqrt(462) + 1*sqrt(462) + sqrt(462) + sqrt(462)))*2)\/sqrt(11))\/(6*(sqrt(6) - (sqrt(600) + 2*sqrt(600)))))**2.\nAnswer: 28\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0220975 rounded to four decimal places?\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -295 and 1.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*d + 68*d - 16 - 215*d + 47*d + 49*d.\nAnswer: -4*d - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2505?  (a) 1\/9  (b) -3  (c) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/11 + 714\/187. Which is the third smallest value?  (a) f  (b) 1\/11  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*v - 25183 - 16817 = -397*v for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15989219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -13000.5 minus 0.34?\nAnswer: -13000.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0  (b) -5  (c) -4  (d) -5\/3  (e) 441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6375 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 4*j**2 - j - 2. Let z be u(2). Let l = 3 - z. Let x be 4 + (-1)\/l + -2. Solve -x = t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 339390 divided by 27\nAnswer: 12570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2429226.\nAnswer: 2, 3, 19, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 4)*(1 - 0) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -506*p**2 + 62214 - 505*p**2 + 1511*p**2 - 62214 - 502*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2543 (base 14) in base 13?\nAnswer: -2c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*j - 39*j + 104*j + 73*j.\nAnswer: 237*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*(-3 - w + 3) - 2*w - 4 + 3*w + 0*w.\nAnswer: 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (9 - 1) - (-2 - (-5 - 1) - 29)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -129 from 16432.\nAnswer: 16561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -701 (base 12) in base 4?\nAnswer: -33301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 + 28*c**2 - 129*c + 2726. Determine m(27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 + -37 + 151 + -48?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*s - 1, 2*s - 10*c = -8*c + 16. Calculate the greatest common divisor of 17 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -263.8?\nAnswer: -263.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 614.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 913*g**3*n**3 - 3*g**3 - 6*g*n**3 + g*n**2 + 40*g*n wrt g.\nAnswer: 5478*g*n**3 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -1\/6*l + 1\/6*l**2 + 16 - 1\/18*l**3. Factor x(v).\nAnswer: -(v - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*r + 6*r + 4*r**2)*((-1 - 3 + 6)*(-3 + 1 + 0) + 2 - 3 - 2).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6768570 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 113*v**2 - 6 - 10 + 11 - 137*v**2 - v**3 + 12*v to the form x*v**3 + k*v + i + r*v**2 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sdddssddddsds. What is prob of picking 3 d and 1 s?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = y + 1. Let w = 65 - y. Solve 4*t - 4 - w = -4*g, -2*t = 4*g - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w + 1632 = w. Is 34 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.14, -5, 0.2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 34*z**3 + 55*z**3 - 6.\nAnswer: 89*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1, -33, -85, -157?\n\"Answer: -10*n**2 - 2*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 625137801 a multiple of 1490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j - j + 2*j)*(2*j - 2*j - j) + 1 - 836*j**2 - 538*j**2 - 493*j**2 to the form o*j + u*j**2 + s and give u.\nAnswer: -1869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d - 3*d + 2*d)*(-d - d + 4*d)*(0 + 4 - 2).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 6)\/(-20) - (-1638)\/24. Let m = 147 - y. Calculate the remainder when m is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 54 = -5*i. Let w be 150\/39 + (2 - i). What is the nearest to 3 in w, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (680\/(-7140))\/((-1)\/21)*(-2)\/(-30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n - 12. Let a be k(14). What is the closest to 1\/4 in 5, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 425080.5 years?\nAnswer: 42508.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**4\/4 + 11*m**3\/3 - 16*m**2 - m - 14766. Calculate j(-13).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*b**2 - 5*b**2 + 14*b**2 + 4*b + 11*b to the form l*b**2 + q + n*b and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3431753\/3 at most as big as -1143917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of -s**7\/84 + s**6\/60 + s**5\/40 - s**4\/24 + 9*s. Determine j so that c(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m - 32. Let y be x(10). Let a be 2 + 2950\/14 + (-12)\/y. Suppose 117 = 6*g - a. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22421 + 10?\nAnswer: -22411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 2017.\nAnswer: -2\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11353.901363 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 4:02 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-13\/4)*r)\/r)**(1\/12)*(r**(15\/4))**(-1\/71) assuming r is positive.\nAnswer: r**(-273\/1136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of 3*h**5\/20 - 2*h**2 + 197*h. Let y(q) = 31*q. Let s(x) = -5*x. Let d(n) = -30*s(n) - 5*y(n). Determine d(m(v)).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.6 + 1.6. What is the nearest to 0.2 in -4\/5, 4, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4585426120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1817.0655 and -44553?\nAnswer: 42735.9345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3  (b) 0.1  (c) 0.05  (d) 2\/17  (e) 450\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -251 + 259. Suppose z*x = -0 - 16. Let m(i) = i - 4. Suppose -3*r + 58 = 5*n, 4*n - 40 = -3*r + 13. Let s(y) = 5*y - 21. Calculate r*m(t) + x*s(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - u = 10. What is the smallest common multiple of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 20 - -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(17) + sqrt(153) + -1)**2 - (sqrt(170)*-1)\/sqrt(10)).\nAnswer: -14*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.02 + -0.02. Let q = -0.0400026 - w. Round q to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.05  (b) -2\/55  (c) 2  (d) 278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.06 - 0.04. Let i = 2.5 - 2. Which is the nearest to t?  (a) i  (b) 8  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 182, 5 in decreasing order.\nAnswer: 182, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -4*y + 4*z - 3, -2*y = -2*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-3\/5))\/(b*b**(1\/4)))**39*(b**(-2\/29)\/b*b**(-2\/9))**0 assuming b is positive.\nAnswer: b**(-663\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 2 + (86 - 93)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39614609 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 7*h**2 + 39*h + 665. What is the thousands digit of r(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1936982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1981150, -1981141, -1981132?\n\"Answer: 9*m - 1981159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2 = -2*p, -2*g + 3 = -1. Suppose 5*l - 7*l - p*u = 0, -12 = -l + 5*u. Find the common denominator of (276\/(-136) + l)*-1 and -31\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9063 and 11684373?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27792 = 2*f - 20*f. Calculate the remainder when f\/(-6) - (-6)\/9 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = l + 5*j - 3*j, 0 = -2*l + 5*j + 58. Suppose 8*r - l = 5*r. Let o(n) = -7 + r - 2*n - 3. What is o(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-35520)\/18*(22855 + 20). What is x rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 7 + 217. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1640\/25)\/((-2068)\/2585)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of s**7\/1365 - s**6\/130 + 4*s**5\/195 + s**4\/26 - 3*s**3\/13 + 72*s**2 + s. Let z(u) = 0. What is u?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(10\/3)\/v**(-2\/15))**(1\/53) assuming v is positive.\nAnswer: v**(52\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -8*z + 9*z. Let u(j) = 2*j**2 + 9*j - 2 - j - 3*j. What is the units digit of u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2661941 is divided by 887303.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 11*o**2 - 15*o + 91. Suppose -8*v - 191 = -271. What is the units digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1357882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1310 divided by -391?\nAnswer: 1310\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 24, 2, -45, 0.2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k**5\/2 + 4679*k**4\/3 + 84025*k**3\/2 + 101453*k**2 + 152674*k\/3 + 7228 = 0. What is k?\nAnswer: -417, -26, -2, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*i - 2 + 0 = 0, -12 = -j + 5*i. Suppose 0 = 3*y - 3*q - 630, -2*y + 411 = -j*q + 2*q. What are the prime factors of y?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -204.63 + 133.24. Let o = b - 1.61. Let r = 65 + o. Does r = -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -3, 43, 1, -394 in decreasing order.\nAnswer: 43, 4, 1, -2, -3, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*b - 28 = 0, 0*u + 2*u - 32 = 4*b. Suppose -l = -4 + 2. Suppose -u = -8*p + 4*p - l*j, 4*j - 14 = -3*p. Solve -w = -p*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 + 42 = 8*m. Let h be (5\/m)\/(1\/2). Is 2 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 93 and 155?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -2, -1\/6, -0.12, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**3\/11 + 3042*y**2\/11 - 21216*y\/11 + 30280\/11 = 0.\nAnswer: 2, 5, 1514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7ad8 + 0?\nAnswer: 7ad8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-22)\/4)\/(19\/(-912)). Let c be 178 + (-1 - 0) + 2. Let u = b - c. Calculate the greatest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 7*f + 13. Let t be y(6). Let r(m) = m**3 - 6*m**2 - 7*m + 2. Let v be r(t). Solve 5*p + v = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3048*a + 97563. What is p(-32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.61 + 0.45. Let x = p + -0.14. What is the closest to 1\/3 in x, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + (-217)\/147*-3)*(4 - 22\/33)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3250, 5, 0 in increasing order.\nAnswer: 0, 5, 3250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2*u = -3*u + 985, -r = 4*u - 265. Is 48 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35208342 or -35208344?\nAnswer: -35208344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 780 is divided by 254?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32612811 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 12. Let u be 26\/9 + (14 - 18). Let v = u - -32\/45. Sort x, v, 5 in ascending order.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -188 + 190. Suppose 15*a - 16*a = 4*c - 27, -4*a = -g*c - 162. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 74a3 + 55429?\nAnswer: 61921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.09 in 1\/5, 5, -4, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(95)*4)\/(((sqrt(270)\/sqrt(6))\/sqrt(9) - sqrt(5)) + sqrt(5)) - ((sqrt(190) + sqrt(190) + 4*3*sqrt(190))\/(-5*sqrt(10)*-3 - sqrt(10)))**2.\nAnswer: -12*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 904 divided by -230\nAnswer: -452\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2123840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is cc + 6c6?\nAnswer: 7b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.017379141 to 4 decimal places.\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/9, 79, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 * -88\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-77)\/(-4) + 14\/(-56). Suppose -12*k + c*k = 56. Calculate the remainder when 28 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/193008 and 157\/265386.\nAnswer: 2123088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 13045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n**3 - 1084956 + 1084956 - 5*n**3 + 8*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -129.2  (b) -2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/15 - (-26)\/(-10). Let l be 1 + (-9)\/6*i. What are the prime factors of l\/(-30) - (-302)\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 - 46 = 29*a + 50 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u*(u**2*u*u)\/u)*u*u\/(u**(-2\/11)\/u)*(u**(-1))**(-44))**(-30) assuming u is positive.\nAnswer: u**(-14910\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 times 666?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2220033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 816893119 rounded to the nearest 10000?\nAnswer: 816890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/i**(9\/5)*i*i*i**(-3\/5)*((i\/(i\/(i\/i**(-12\/11))))\/i*i*i*i)\/i**(-1\/9) assuming i is positive.\nAnswer: i**(2377\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**3 - 21*d**2 - 7*d + 27. What is m(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -35420625?\nAnswer: -35420625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + 3)\/((-3)\/21). Let v be (5 - 0)\/((-5)\/5). Let a = v - o. Solve 4*l - l = -3*r, l + a*r = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*t - 30*t + 58 = 198. What is the third smallest value in t, 2\/11, 5, -0.08?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y. Let b(a) be the first derivative of 12*a**2 + 46. What is z(b(h))?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2726 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 29  (c) 89  (d) 2\/7  (e) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/54)\/((-8)\/(-1074)). Let c = 19\/18 + x. Calculate the common denominator of 51\/20 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -3, 31016, 5, 4, -15.\nAnswer: -15, -3, 4, 5, 17, 31016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1 - -2)\/((-138)\/(-10948)) is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110 is divided by (112\/2)\/(-52 + 54).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -123*s + 116*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j, 1 q, and 1 x when four letters picked without replacement from {x: 5, j: 4, f: 4, q: 6}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -246*s**3 - 1113415348 + 1113415348 + 263*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 17 = -4*n - 2*n, -10*j - 31 = -1242*n + 1243*n - 15*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*r**5 + 538*r**4 - 1732*r**3 + 2448*r**2 - 1612*r + 406 = 0 for r.\nAnswer: 1, 29\/24, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**2 + 100*c - 542. Determine z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2071*s**2 - 10398*s - 228. Give k(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 - 8*k**2 - 2*k - 12. Let t be f(-8). Let i(z) = -z**3 + 7*z**2 - 7*z + 8. Let s be i(6). Is s smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i**2 - i + 1. Let r(b) = -b - 1. Let c(z) = z**2 - 5*z - 6. Let u(h) = 2*c(h) - 11*r(h). Determine -5*p(l) - 6*u(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 307 - 190. Let z = -62 + d. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11087 is divided by 180.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 3:58 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -116 - 3*n + n + n + 120. Let k be x(-3). Let t(s) = -s + k*s - 5*s. Let g(y) = -66*y. Calculate g(t(b)).\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**2 - 2*n**4 - n**2 + n + n**4 to y*n**4 + j*n**2 + h + p*n**3 + v*n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a + 0 - 60 = 0. Suppose -10 = 2*r - 4*x, -4*r = -2*r + 5*x - 35. Solve -b + 2*d = -0*d + r, 0 = a*b + d - 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 431*i - 49 = 434*i, -3*n + 4*i = -25. What is the lowest common multiple of n and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*v = -190*v. Let j be (v*1\/(-5))\/(-1). Solve b - 3 - 1 = j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 1 + -1 - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 + -12 + (-6 - (-11 - -8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 957852251*n**4 + 1040646568*n**2?\nAnswer: 22988454024*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9056340 by -6.\nAnswer: -1509390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6*(35\/10 + -4). What is the third derivative of -63*b**2 + 159*b**2 - 3*b + f*b - 156*b**3 wrt b?\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -12*c. Let n = -27 - -19. Let p be n*(2 + (-9)\/(-12)). Let y(d) = d. Give p*y(q) - 2*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -1\/4  (c) -0.0111  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -331591863*u - 1496185726 wrt u.\nAnswer: -331591863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**2 - 13*x - 11. Let o(q) = -q**2 + 7*q + 7. Let j be 2*(-1)\/2*-6. Let l be o(j). Let t(y) = -y**2 - 6*y - 5. Determine l*t(s) - 6*a(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5142699049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-8)*-4*1. Let f = 7.6 - 8. Which is the nearest to 1?  (a) t  (b) f  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 940 divided by -47?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.05 - -0.05. Let v = l - -0.1. Which is the nearest to v?  (a) -3\/7  (b) -5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6258 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192742 is divided by 5666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30208 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -6*p + 7*p. Suppose -24 = -0*c - p*c. Solve 0 = -4*a - 3*i + 13, 3*i + c = 3*a - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/45 and ((-165)\/22)\/(-5)*(-158)\/1350?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44753 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86706774.\nAnswer: 2, 3, 7, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 3:13 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8384534*j - 373*j**2 + 8384534*j + 59*j**2.\nAnswer: -314*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 163 - 253 = 0. 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 the value of 1\/(2\/16*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -817*b**3 + 374*b**3 + 439*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 52*o = 37*o - 132 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/1)\/((12\/3)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04927 + -0.14927. Which is the closest to n?  (a) -0.49  (b) 3  (c) 5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3249 or -1?\nAnswer: -3249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 6a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fkkdfdkfddkkdll. What is prob of picking 1 l and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 552 - 12*d**2 + 14*d**2 - 974.\nAnswer: 2*d**2 - 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hktv when four letters picked without replacement from wtwskvkh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + (-8)\/40)\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4767157 != 4767159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k - 1. Let m(p) = 1. Let l(j) = j + 6. Let d(s) = -l(s) + 5*m(s). Let r(f) = d(f) - 2*i(f). What is r(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -429, -414, -407, -414, -441, -494?\n\"Answer: -o**3 + 2*o**2 + 16*o - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -110*n. Let y(d) = -11*d**2. Determine k(y(m)).\nAnswer: 1210*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 4*v - 772, -26*h + 21*h - 10 = 0. Calculate the greatest common divisor of v and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 6*s - 16.\nAnswer: (s - 8)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 15*q**2 - 331*q + 25. Let t be p(22). Let k be (3 - 3 - 1) + 3. Let h(d) = 2*d**3 - 3 - d**3 - 6*d**k + d + 3. Calculate h(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -10 - (-21 + (-3 - -63))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-4 - -1) + (-83 - -87).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 2*i**2 - 5*i - 1. Let z(s) = s**3 - s**2 - s - 1. Let f(g) = y(g) - 2*z(g). Let u be f(3). Let h = u - 0. Solve -3 - h = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 440 and 28?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10983491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 1)*(-3)\/(1 + -4). Suppose -4*b + 35763 + 2201 = m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -0*t + 2*t - 4, 0 = 5*a - t + 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o - 2. Let r be k(6). Suppose -2*b - 2*h - 4 = -4*b, -2*h - r = -5*b. Factor -2\/9*m**b - 2\/9*m + 0.\nAnswer: -2*m*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 1, 9, 103, -2, -2\/13.\nAnswer: -2, -2\/13, 1\/3, 1, 9, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11733313971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of h**5\/60 - h**3\/6 - 24*h**2 - 2*h. Suppose 3403 = -2*q + 3401. Let z(t) = 7*t**2 - 4. Calculate q*z(l) + 5*c(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - 7*o**2 + 29*o - 2. Give a(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2038 = -251*x + 2731 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3500147 + 267?\nAnswer: -3488770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 49 - 35. Suppose -2*d = 3*d. Suppose 4*p - i - 1 = d, -3*p - 3*i = -4*p + m. Are -1\/4 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(17*5\/20 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 608448 and 0.2.\nAnswer: 121689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -40 + -510434012?\nAnswer: -510434052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 5, r: 2, j: 5}. What is prob of picking 3 d and 1 j?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 8:24 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 15 = 0, 3*d - 4*w + 12 = -0*w. Suppose -r = -d*r - 11. Suppose -1 = f, -3*h + 2*f - 4*f + 10 = 0. Calculate the remainder when r is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116 divided by 5.\nAnswer: 116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -11491.299 to the nearest one hundred.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 226611241 divided by 1\nAnswer: 226611241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 4*a**2 - 1 + a**3 - 6*a**2 in the form j + v*a**3 + t*a + l*a**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*z = -53*z - 64719. What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1265, 1806, 2693, 3914, 5457?\nAnswer: 7310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0585, 3, 2\/11 in decreasing order.\nAnswer: 3, 2\/11, 0.0585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -28*z + 4135 - 4835 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-3)\/(-2)) - (-225)\/50\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -24*a**2 + 833*a - 770. Let y(o) = 114*o**2 - 4146*o + 3850. Let z(b) = 14*t(b) + 3*y(b). Solve z(i) = 0.\nAnswer: 1, 385\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 2*b + 20, 46*b = 43*b + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3293779.\nAnswer: 179, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2625?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 59999*u**2 - 2*u - 1. Let r be t(-1). Round r to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 5:41 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 49*m**2 + 134*m - 72. Let j be a(51). What is the greatest common divisor of 429 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**2 + 9312*i + 692775 = 0 for i.\nAnswer: -9237, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 2*y**2 + y - 3. Let u = -49202 - -49200. Let n(t) = 3*t - 2*t**2 + 2 + t - 6*t. Determine u*d(k) - 3*n(k).\nAnswer: 2*k**3 + 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9789 + -9785. Let y = 5 - 3. Let j(w) = -3*w + 1. Let o be j(y). Which is the closest to z?  (a) -3  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3347195*y**4 + 362*y + 21162 wrt y?\nAnswer: 40166340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 114 = k. Suppose r + 8*p + 114 = 0, 2*r - 2*p + 127 + 29 = 0. Let z = k - r. Solve 0 + z = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2022863*f**4 + 2*f**2 - 7924357?\nAnswer: -8091452*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 4*n + a, -2*a + 2 = -680*n + 678*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 9*f**2 - 11*f + 3. Determine h(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*l - 68*l - 12*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287292?\nAnswer: 2, 3, 89, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, o: 6, j: 2, r: 7, s: 1}. What is prob of sequence jrr?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 3*i + 50. Suppose 61 = 6*t - 29. Let y = t - i. Solve -2*d + 5*d + 5*o = 10, 4*d + 5*o - y = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 154, 114, 5, 1\/3, -2\/11 in descending order.\nAnswer: 154, 114, 5, 0.5, 1\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1121221 + -12?\nAnswer: -1122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*j = -16*j + 180. Solve 3*a + 3*k = 4*k + 5, -a + 9 = -j*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 3*b**2 + 9*b + 9. Let g be u(-3). Is -4*(-1473)\/g*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y + 4. Let k be u(-3). Let i = 4.8 + -0.8. What is the closest to 0.1 in k, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = 4*k + 5*j, 612*k + 3*j = 616*k - 35 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 961, 932, 901, 874, 857, 856, 877, 926?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-4\/3)\/(k*k**(1\/5)*k*k*k)*k*k*k**(1\/12)*k*k\/(k\/k**(-3))*k*((k\/(k\/(k**11\/k)))\/k*k\/k**(-3\/8))**(-46) assuming k is positive.\nAnswer: k**(-4817\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + (13 - 13 - 1) - -3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 146\/133 - 31414\/17955. Calculate the common denominator of q and -11\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/10 and 23\/31?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = -i - 3, 160*i - 161*i = 4*v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/7 in 3\/5, -3, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3531 + 7161 = -363*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: -705237 divided by 1391\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -113 + 179. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3075852 - 743*y + 3075852)*(-4*y + 3*y + 0*y)*(-2 + 5 - 1) in the form a*y**2 + z*y + p and give a.\nAnswer: 1486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 712\/(-240) + (120\/24 - (-4)\/(-1)) and -29\/3700.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.6, -0.5, -0.085, 27?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2952123, -5904168, -8856213, -11808258?\n\"Answer: -2952045*p - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.36079g in micrograms?\nAnswer: 14360790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3, -66, -0.4, 0.5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -4. Suppose i*n + 2 = -3*f + 5*f, 0 = 4*n + 3*f - 31. Suppose -n*z = -36 - 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**(-2))\/(f*f\/((f\/((f\/(f\/f**(-41)))\/f))\/f)))\/(f**(-30)\/f**(3\/32)))**(-49) assuming f is positive.\nAnswer: f**(-114611\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + 9*l + 33. Let h be w(-9). What is the tens digit of -54*(-2)\/(-10)*(-440)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*a - 66, 6*a - 53 = -2*n + 7*a. Calculate the remainder when 89 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2318312 rounded to 4 decimal places?\nAnswer: -0.2318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*a*x**3 - 92*a*x**2 - 67*a*x - a + 3*x**3 + 25*x**2 + 9*x - 451 wrt x.\nAnswer: -36*a*x - 184*a + 18*x + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 16 = -4*l, -3*t + 9*l = 14*l - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + -17)*(-70)\/70.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2.3  (b) -322  (c) 1.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*w**2 - 25*w**2 - 19*w**2 - 18*w**2 + 30 + 85*w**2.\nAnswer: -2*w**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**(-3\/29))\/n*n)**(2\/51))**13 assuming n is positive.\nAnswer: n**(676\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 - 1 = -2*l. Calculate the remainder when 42 is divided by 4\/(36\/l)*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87233 divided by 2.\nAnswer: -87233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**4 + 7*l**3\/6 + 203*l**2\/6 + 151*l\/3 - 28\/3 = 0. What is l?\nAnswer: -4, -2, 1\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 - (-341)\/(-55) - (-8)\/(-10). Is 52 a factor of (-3635)\/(-35) - g\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (69\/12)\/(1\/7444) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -290561695\/14 - -20768953. Let z be -2 + 3 + 14538 + -1. Let f = i - z. Calculate the common denominator of -79\/14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 96 = 9*u - 5*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.384478 milliseconds to days.\nAnswer: 0.000000340098125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) + 2 + (sqrt(242) - (sqrt(242) + 0)) - -1*(sqrt(242) - (0 + sqrt(242)) - sqrt(242)))**2*5 + 5 + -1*1*sqrt(242)*-6.\nAnswer: 25 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 2. Let i(v) = -5*v - 1. Let s(m) = -m**3 + 3*m**2 + 5*m - 5. Calculate the lowest common multiple of s(3) and i(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -343 = 5*s + h, -2*s + 5 = 3*h + 137. Let q = 104 + s. Let l = 0 - -3. Solve -4*u + g = -l*g, q = 5*u + 2*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 210834223 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003119763396 to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**2 - 8*l + 3. Let h be o(5). What is the highest common factor of h and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of 4\/7*a**4 - 32\/7*a**2 + 3 + 3*a - 1\/5*a**5 + 2\/105*a**6 + 8\/21*a**3. Suppose o(g) = 0. Calculate g.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -79, -81, -83, -85, -87?\n\"Answer: -2*w - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99905\/13734 - 8\/2289. What is the common denominator of k and 25\/42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -6*k**3 + 37*k**2 - 6*k + 3. Let l be m(6). What is the greatest common divisor of 303 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p**3 - 2*p**2 + 2*p + 1. Let m be g(2). Let v be -2 + (m\/2)\/3. Which is the second biggest value?  (a) 5  (b) v  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 3526\nAnswer: -3\/3526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 4)\/((-6)\/8). Suppose 0*x - 36 = -3*x. Suppose 4*a = -0*a - 5*j + 6, 2*j = -4*a + x. Solve m*n - a = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201 (base 3) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 9) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1843 - -1843.00002828. Round p to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/2111 and 51\/248?\nAnswer: 523528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 PM and 5:24 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + 3*w**2 + w**2)*(35 + 15 + 22).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 401 + -1242. Let t = l + 131. Round t to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -d**3*m*r**2 - 2*d**3*m + 11*d**3*r**2 + 440*d*m + 2*r**2 + 1 wrt r?\nAnswer: -2*d**3*m*r + 22*d**3*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-5*5*sqrt(33)\/(-1*5*sqrt(11)).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 133570 divided by -5.\nAnswer: -26714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 4*m + 55. Let k be j(-11). Is 142*(k\/(-77) + 102\/28) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 13 = -4*s, 0 = -0*s - s - 3*a - 17. Let i be -2 + (s - -2 - -5). Let w(f) = -f**3 + 2*f**2 + 4*f + 1. List the prime factors of w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) -44  (c) -0.3  (d) 1.5  (e) 0.2  (f) 2  (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 1919*p**6\/15 + 1819*p**3\/3 + 3266*p. What is the second derivative of c(i) wrt i?\nAnswer: 46056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -5*w**2 - 7. Suppose 0*x - 30 = 5*x. Let b(y) = y**2 + 1. Let j(c) = x*b(c) - q(c). Factor j(l).\nAnswer: -(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1046 - 553. Suppose -3*m = l - o, -127 = -m + 4*l + 20. Let j = m - -19. What are the prime factors of j?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 392 - 398.59. What is s rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 471*z**2 - 4*z + 40. Let c(m) = 942*m**2 - 9*m + 87. Calculate 13*b(i) - 6*c(i).\nAnswer: 471*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -100709*-571\nAnswer: 57504839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {k: 4, d: 1, s: 2, x: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53\/95 - 3\/19. Let r = -9 + 12. Let j = -17\/2 + 7. What is the smallest value in j, r, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5984 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -11*n**2. Suppose -4*i = 5*x - 277, -3*x - i - i = -167. Let d(v) = -57 - 9*v + x + 8*v. Calculate d(k(u)).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -0*p + 2*p. What is the lowest common multiple of p and -5 - (2\/18 - (-688)\/(-36))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32309909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -43, -560, -1869, -4366, -8447, -14508, -22945?\n\"Answer: -66*t**3 - 55*t + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 660150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-100)\/(-312) - (-1)\/(-6). Let s = -0.71 + 0.29. Let t = 0.02 + s. What is the nearest to 1\/4 in v, 5, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59621890417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 11:44 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21224 and 45264728.\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - z + 1. Let f(x) = -17*x**2 - 3*x + 5. Let d(c) = -f(c) + 4*g(c). Let s be d(-1). What is the greatest common divisor of s and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 16 = -0*w. Suppose 0 = 4*i - 4*c, -5*i = -w*i + 2*c - 15. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z - 17. Calculate c(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 23602?\nAnswer: 23606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3497, 3498, 3499, 3500, 3501, 3502?\n\"Answer: z + 3496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + -8. Suppose r*t - 4*w - 8 = 0, -5*t + 14 + 12 = -4*w. Suppose t = -4*h + 54. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -m**2\/3 + 469*m + 1410 = 0.\nAnswer: -3, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3429, 6868, 10307?\n\"Answer: 3439*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -61050 divided by -1650?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 11  (c) 1.2  (d) -1\/9  (e) -1  (f) -2222\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*x - 10 = 0. Let i be (x + 0)*(-3)\/3. Suppose 0 = -2*k + 2*o + 30, 0 = -2*k + 5*k - i*o - 40. Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -31 or 1204249?\nAnswer: 1204249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 (base 10) in base 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -6*f - 13. Let g be (1 - 1)\/(1 + -2). What is the remainder when 26 + -26 - (-79 + g) is divided by n(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 399 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*p - 173*p - 32 + 2 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k + 6. Let o(y) = -y**3 + y - 5. Let x be o(0). Let u be r(x). Let q be (-7)\/20 + 1\/u. Which is the third smallest value?  (a) q  (b) 0  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, -1\/4, -2\/69, 21213?\nAnswer: 21213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r + 135135 = 498630. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f*i**2 + f*i + 6*f - 20368011*i**2 + 6934*i - 1 wrt i?\nAnswer: -4*f - 40736022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((s - 1 + 1)*(-1 + 3*s**3 + 1) + s**4 + 0*s**4 - 2*s**4)*(-2 + 7 + 0 + (-1 - 1 + 0)*(-2 - 2 + 2)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5+-184.1\nAnswer: -179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0.57  (c) -1\/6  (d) 2518  (e) -25\/2  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.5 - -10.58. Let v = 6.27 + j. Let i = -7 + v. Which is the closest to i?  (a) 2\/11  (b) 0  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4982434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -5.1. Let c = -12.4 + 11. Let b = -1 - c. What is the nearest to u in 0.1, -2, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-8))\/u)**(-40)\/(u*u\/(u**(-14\/9)\/u)*u**(-4\/3)) assuming u is positive.\nAnswer: u**(2851\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11969?\nAnswer: 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -4*c - 7. What is the units digit of n(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.577721*-0.073\nAnswer: -0.042173633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8, -36, -68, -104, -144?\n\"Answer: -2*z**2 - 22*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50 + -44. Solve x = n*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence buuu when four letters picked without replacement from bmbubububuububbbubu?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j = -o - 20*j + 86, -j - 179 = -2*o. What is the highest common divisor of o and 1230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**3 - k**2 - k - 1. Let j(o) = -13*o**3 - 9*o**2 - 8*o - 20. Determine -6*b(m) + j(m).\nAnswer: -m**3 - 3*m**2 - 2*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5920 or 6189?\nAnswer: 5920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**4 - 2*z**3 - z**4 - 5*z**4)*(38 - 29 - 84).\nAnswer: 150*z**4 + 150*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-16) - (-3)\/(1440\/(-4287308)). Let c = 8936 + n. Is 4 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -7\/13, 0.304, -6, -9?\nAnswer: 0.304","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/(-60) - (-6)\/(-10). Let t be (1056\/(-3960))\/(4\/(-6)). What is the closest to t in k, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i + 0*i + 7*i + (i + 0 + 0)*(2 - 1 - 2) - 2*i - 4*i + 3*i + 2*i + i + 0*i + (5 - 2 + 0)*(2 + 2*i - 2) to the form u + j*i and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1020211211 + 2?\nAnswer: -1020211203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*q**2*r**2 - 12*q**2*r + 2*q*r**2 - 2*q*r + 2*r**4 wrt r?\nAnswer: -24*q**2 + 4*q + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 21. Let l = -7 + z. Let b = l + -3. Solve 3*i - 8 = 2*c, 1 = 2*i - b*c - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-3 + 12\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/7 + 51148479*w**2\/7 + 102296961*w\/7 + 51148481\/7.\nAnswer: -(w - 51148481)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8 + (-250)\/40. Let v(g) = g**3 + 8*g**2 + 9*g + 5. Let q be v(d). Solve 5*b + 8*r + q = 4*r, 4*r + 2 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 36*c = -41*c + 5, -4*p - 2*c + 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/28*272*(-2)\/(24\/(-6)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 6:23 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 80\/3. Suppose 0 = -2*n - 0 + 4. Suppose n*u = -2*u. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2679 = -2*v - 2657 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of -77\/160*h**6 + 1\/56*h**7 + 0 - 371\/32*h**4 + 90*h**2 + 69\/16*h**5 + 49\/4*h**3 + 0*h. Find t, given that w(t) = 0.\nAnswer: 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - sqrt(80))*3)**2*1 + -1 + (sqrt(125) - 3*sqrt(125))**2 + sqrt(125).\nAnswer: 5*sqrt(5) + 904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - r = 522 - 538, -40 = 5*y + 5*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from viooiiovoovv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - r = -7, 2*f - 4*r + r = 7. Let y be f\/2 + (-26)\/(-13). Which is the nearest to 4?  (a) y  (b) -4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*(-4)\/14 - (-567)\/2499. Let u be ((-2 + 2)*1)\/2. Is k less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1636423279.\nAnswer: 19, 86127541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 28604 less than 0.136?\nAnswer: -28603.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -62*p + 52. Let s(c) = -52*c + 44. Let a(l) = -6*s(l) + 5*w(l). Suppose -3*b = -4*b - j - 11, 4*j + 16 = 0. Determine a(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -6. Suppose -g = -3 - q. Let x(w) = 3*w - 3. List the prime factors of x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -760, -838, -916, -994, -1072, -1150?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**2 - 1. Let b(a) = 15*a**2 - 12*a + 6. Calculate b(r) + 6*m(r).\nAnswer: 3*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -65 + -19?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-24)\/(-3) - (-1 + 2). Let c(p) = -p + 11. Let y be c(d). What is the highest common factor of y and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -36*h**2. Let q(f) = -51*f**2 + 9*f - 23. Give q(x(g)).\nAnswer: -66096*g**4 - 324*g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2.5, -2\/9, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 18*r**3 + 2*r**2 - r. Let k be b(1). Let u = 14 - k. Let a(j) = -5*j - 3*j**2 - 2 + 9 + 2*j**2. What is a(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**9\/60480 + g**8\/3360 - g**6\/120 - g**5\/10 + 5*g**2. Let w(r) be the third derivative of n(r). Give w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-17394 - 12)*(-4)\/((-60)\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5552, -8001, -12088, -17813, -25176, -34177, -44816?\nAnswer: -57093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 242, -5 in descending order.\nAnswer: 242, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 125170 or -815?\nAnswer: -815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1430784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*h**2)*(6*h**2 - 5*h**2 - 2*h**2 + (3*h - h - 4*h)*(-2*h - 3 + 3) + h - h + 2*h**2 - 1 + 1 - 2*h**2 + h**2 + 0*h**2 + 0*h**2).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 401 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 2912.36 days?\nAnswer: 251627904000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -31, -55, -89, -139, -211, -311?\n\"Answer: -k**3 + k**2 - 20*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.37 + 1.4. Which is the second biggest value?  (a) -1  (b) 1  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26104 divided by 3263\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**3 - 22*p**2 + 7*p + 3. What is f(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a + a - 2*a**2 + (-4*a + a + a)*(a - 2 + 2) - 2*a**2 + 0*a + 0*a + 11*a**2 - 15*a**2 + 5*a**2 + (0*a - a - a)*(3*a - 4*a + 0*a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j - 5. Let z(q) = 9*q + 9. Let c(u) = -u - 15*u + 0*u - 5 - 12. Let p(t) = -3*c(t) - 5*z(t). Determine 7*h(o) + 6*p(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a + 58*a**2 - 57*a**2 + a - 1 + 6*a**3 to w*a + p*a**2 + y*a**3 + d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3774\/187 - (-10)\/(-55). Solve -2*g = 2*g - k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 1. Let q = 22949353.00000024 + -22949357. Let r = q + y. What is r rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -b**3 + 26*b**2 - 141*b. What is the remainder when q(-5) is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 277 divide 2162701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3 + 3 = 0. Let y be (-3)\/z - (-18)\/4. Is y\/6*114\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = n - 8. Let c be ((-15)\/27*3)\/((-8)\/(-24)) - -8. Solve c*q - n = 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/315060 and 13\/7860.\nAnswer: 41272860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 5*a**2. Let k(t) = -t - 1. Let g(l) = -3*l - 2. Let p be 5\/7 - (-10)\/35. Let r(i) = p*g(i) - 2*k(i). Give r(v(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(78)\/sqrt(6))*-6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Is 895417426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3150131862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -1, -27\/5, 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69578.8ml to litres.\nAnswer: 69.5788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 219*p**2 - 20*p - 4380. Determine v(-219).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004842875897 rounded to six dps?\nAnswer: 0.004843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*u - 1300 = 22*u + 2*g, 6516 = 5*u - 2*g. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 1. Let m = 2 + 6. Let a = r + m. What is the third smallest value in 4, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6511 or -6514?\nAnswer: -6514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 17*o - 3. Let i be (1\/(-2))\/((-2)\/28). Does 31 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of y**6\/180 - 35*y**3\/6 - 27*y. Let a(b) be the second derivative of q(b). Let t(f) = 16*f**2. Give a(t(m)).\nAnswer: 512*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 4, 7, 2\/7, -30\/19, -2\/7.\nAnswer: -30\/19, -2\/7, 2\/7, 4, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 5*o - 5*o. Suppose 6*x - 7*x = -7. Let s(r) = -14*r + 4*r + x*r. Give s(t(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b2a2 + 23?\nAnswer: -1b27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -499*q**3 - 548*q**3 + 1048*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 - 9*b - 4. Let f be w(-6). Differentiate -1 - 17*h**3 + 3 + f*h**3 + 2 wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q + 3*q + 12 + 8 - 3*q.\nAnswer: -3*q + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 0*n. Let y = -3 + n. Let u be 3 - (y + 0 + -78). Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*h = -720. Suppose 134 = 2*t + 3*w - 2*w, -2*t = -4*w - h. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 988 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ndnv when four letters picked without replacement from {v: 2, d: 5, n: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/5 + (-828)\/(-10). Suppose -3*n = -5*r + 3*r + d, 20 = -4*n. Suppose 37 = 4*k - 3*t, 7*k - 4*k = -4*t + r. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k\/(k*k*k**(-16)))\/(k*k*k**(-2\/11)))\/((k**14*k)\/(k*k\/(k**(-3\/4)\/k))))**(-2\/53) assuming k is positive.\nAnswer: k**(-173\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - (0 + -2 + (42 - 54)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -108*(-25)\/5625*(-50)\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 19*z + 10 to the form k*z + h and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -4 + g**5 + 0*g**3 + 0*g**4 + 3\/2*g**2 + 0*g. Find the second derivative of l(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68866 is divided by 17058.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 672781309, 672781310, 672781311, 672781312, 672781313, 672781314?\n\"Answer: y + 672781308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35094, -38875, -42656, -46437, -50218?\nAnswer: -53999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2 - 7 + 2 - 6*m + 6 + m**2. Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 60.70924 litres?\nAnswer: 60709.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t - 31. Let l = -43 + 25. Let o be h(l). Suppose -43 = -o*w + 7. Calculate the remainder when 55 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) + (sqrt(242) - (sqrt(242) + 2) - sqrt(242))*3)**2 + 1*sqrt(200) + 5.\nAnswer: 274*sqrt(2) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/5 and -2\/7999.\nAnswer: 39995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/12)\/((-504)\/(-420))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 5*v**2 + 4*v. Let h = 5 + -26. Let y be (0 + (-6)\/h)*14. Let x be k(y). Solve 4*d + d + 21 = -2*g, -4*g - 4*d - 12 = x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2313886682+0.5833\nAnswer: -2313886681.4167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-9 - (-11 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1540)\/(-1287)*(-60)\/380 + -5 + (-268)\/(-52)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**2*t\/(t**(2\/5)*t)*(t*t**(-4))\/(t*t\/((t\/(t**(3\/2)\/t)*t*t)\/t*t))*(t*t**(-2))\/(t**(-3\/5)\/t)*(t*t**1\/t)\/t**(-3\/4) assuming t is positive.\nAnswer: t**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t**2. Let l(u) = 19*u + 14. Let b(r) = -18*r - 11. Let o(i) = -5*b(i) - 4*l(i). What is p(o(m))?\nAnswer: -588*m**2 + 84*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + 11 + -5 + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-286)\/99)\/(-13)*27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.04 + 1.79. Let q = 2 - h. Let y = q + 0.11. Round y to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7506177 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p\/(p\/p**33))*p\/(p\/(p*p*p\/(p\/((p**17\/p)\/p))*p*p*p*p)))**(-5\/3) assuming p is positive.\nAnswer: p**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of 151*n + 0 + 1\/3*n**3 + 219\/20*n**5 + 4*n**2 + 0*n**4. Find the second derivative of m(x) wrt x.\nAnswer: 1314*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-13575)*(-35)\/14)\/((-1)\/(-4))?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -177060 and 0.03656527.\nAnswer: -177059.96343473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1661587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 + 288*j**2 + 1215*j - 32076.\nAnswer: -3*(j - 99)*(j - 9)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 441 and 1147293?\nAnswer: 8031051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4*g - 47408 = 0, -3*s = 48*g - 49*g - 35542. What are the prime factors of s?\nAnswer: 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m - 3. Let o(q) = -2*q - 2. Let h(s) = -5*o(s) + 3*r(s). Suppose 0*t - 2*n = 4*t, -2 = n. Let g(k) = -5*k - 4. Give t*g(f) + 3*h(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 2\/25, 1151.766?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**4\/4 + 2*h**3 + 9*h**2 - 4*h - 17. What is the least common multiple of 12 and l(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*s**5 - 17008*s**4 - 8*s**3 - 35854541*s**2?\nAnswer: 480*s**2 - 408192*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 - 3*z - 54 + 32.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**2 - 5284076*s + 84544192 = 0.\nAnswer: 16, 1321003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k - 5. Let a(r) = -r. Give -4*a(o) - n(o).\nAnswer: -o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/589 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 1 = -15. Let a = -4 + 37. Solve -a = -5*h - n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -3. Let l = 9.6 + -10. Which is the closest to -0.2?  (a) l  (b) v  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + 1*sqrt(432))*5 + sqrt(432)*-2*-4)**2 + 2.\nAnswer: 139970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42 - (-4450)\/89)*(14\/7 + 9\/(-2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/6*-21*(-39)\/910.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 5*c - 2. Let i be k(-4). Let f be (1 - 0)*(i + 1). Determine x, given that x**2 + 2*x**2 - 3 + 4*x**f - x**3 - 6*x**3 + 3*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*y + 2*x + 5, 12*y = 17*y + x - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1 + sqrt(700) + 2 + 0 - (-2*sqrt(700)*6 + sqrt(700) - ((sqrt(700) + 1 + sqrt(700) - sqrt(700)) + 4)))**2.\nAnswer: 1560*sqrt(7) + 118338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.2, 1\/9, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 8:10 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (0 + sqrt(7) + 0)**2 - (sqrt(7) + sqrt(175) + 0 + sqrt(7)).\nAnswer: -6*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from esoeh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24706 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/2 - 53*y**3 - 1456*y**2 - 2704*y.\nAnswer: -y*(y + 2)*(y + 52)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + -1)*-3*(-100)\/12. Suppose h = 7*u - 2*u. Let n(q) = u*q + 2*q - 2*q. Let i(a) = 8*a. Determine i(n(r)).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-3\/5)*f)**49)**(-1\/22) assuming f is positive.\nAnswer: f**(-343\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114227 is divided by 93.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 29*a + 1136. Give j(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.5634  (b) -5  (c) 2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 42*r**3 - r**2 + 2*r - 1. Let f be h(1). Suppose -5*v - 4*l = f, 3*v + l = -4*l - 33. Let n(d) = -1095 + 2193 + 2*d - 1091. Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1625070165 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 3*d + 51, 5*s - 41 = 3*d - 32. Solve -199*n + 198*n + s = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.05 + 0.05. Let j = 339.5 + -339. Which is the nearest to s?  (a) j  (b) -2\/7  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 14*n + 35. Let o(m) = 3*m + 7. Let p(j) = -4*f(j) + 21*o(j). Let q be p(4). Solve -4*r = -5*l, -5*l - 3*r = -0*l - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j + 3. Determine s(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + sqrt(931) + sqrt(931) + sqrt(931) + 2 + sqrt(931) + sqrt(931) + 0)**2.\nAnswer: -420*sqrt(19) + 139656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + -23 + 105?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2416*p + 24. Let t be g(-19). Let s = t + -24461. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 1.758.\nAnswer: -1.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11475, -11482, -11479, -11460, -11419, -11350, -11247?\nAnswer: -11104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k + 2*m + 10, -m + 4*m = -5*k - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*o**3 - 30*o**3 + 11*o**3)*(0*o + 4*o - 5*o)*(-7 + 0 + 3).\nAnswer: -176*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 47, 86, 141, 212, 299?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -60 at most -418\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2096, -2095, -2094, -2093?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.73207598417263 from 5.\nAnswer: 4.26792401582737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/12 - (-1045)\/(-4). Let x = -2 - y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5 + b**2 + 5. Let h(j) = 5*j + 6. Let a(z) = -45*z - 55. Let c(i) = -6*a(i) - 55*h(i). Calculate c(y(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p**2 - 4*p + 4. Let d(a) = 5*a**2 + 3*a - 5. Let j(m) = 3*d(m) + 4*f(m). Determine j(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 85*l**3 - 52*l**3 + 3*l**3 - 15*l + 8*l**3 + 15*l + (0 - l + 0)*(-1 - l**2 + 1).\nAnswer: 45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7673460717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 724272982.\nAnswer: 2, 857, 422563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + -21 + -2 + 2. Let h = -20 - x. Solve -v = h*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/20 - (-6)\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 10) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 245 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -69. Let t = q - -45.1. Round t to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/21912 and -13\/7.\nAnswer: 153384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.159 in 3, 5, 11, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 10:54 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 104.6 + -104.7. Suppose -4*o - 2*g - 8 = -34, 0 = 2*o - 3*g + 7. What is the third smallest value in 1\/4, o, -3\/2, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 0.4. Let y = 5.66 - 5.26. Which is the closest to y?  (a) 1  (b) t  (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1390.24 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.3 - -0.7. Let m = -33 - -29.8. Let x = m - -2.2. What is the closest to x in 0.4, f, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1926 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14853278187 rounded to three dps?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y*(y*y*y**(1\/20))\/y*y))\/y)**24 assuming y is positive.\nAnswer: y**(-486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oomo when four letters picked without replacement from {m: 8, o: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, e: 7, h: 1, c: 2, u: 7}. Give prob of picking 1 b and 1 c.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13451\/4420 + -3\/442. What is the common denominator of (-2)\/(-6) + (-70)\/36 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -u - 2*u + 14, 0 = u + 5*a. Let w(b) = -b**3 + 4*b**2 + 8*b - 4. Give w(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16538 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8543 = -24*q - 57*q - 17*q - 14325 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 944767 is divided by 976.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (60\/(-4))\/3. Suppose h + p = -2*p - w, -h - 4 = 4*p. Suppose 5*x - 290 = -h*g, 0 = 5*x - 2*g + g - 290. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p = 3*w + 15*p - 1494, -3*p = -5*w + 2522. Is w less than or equal to 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -488.145, 2\/3, -3, 0.18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4158 - -4173. What is the second smallest value in 2\/7, l, 0.7, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2397 (base 10) in base 3?\nAnswer: 10021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 163.5 + -208. Let u = 45 + d. Let r = -4 - -3.97. What is the smallest value in r, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 10:07 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -1728*w**2 - 1706*w + 16. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)*1*4*4)\/(-3*(sqrt(10) + sqrt(10)*-2*4 + sqrt(10))).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, c: 6}. Give prob of sequence ici.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of 0 - 7\/12*n**5 + 0*n + 1\/6*n**6 + 0*n**3 - 5\/12*n**4 - 10*n**2. Let a(m) = 0. What is m?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 1 - 18 + 4*r - r**2 + 2*r**2. Let o(v) = -v**3 + 36*v**2 + 2*v - 79. Let f be o(36). Is d(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2. Let k(s) = 3 - 7*s**2 - 2*s - s**3 + 0*s + 3*s + 0*s**2. Let d(p) = -k(p) + 6*z(p). Give d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 615978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 174*d - 178*d + 5*t, -23 = -d - 5*t. Sort 1, -1, d, -6, -346 in decreasing order.\nAnswer: 1, -1, d, -6, -346","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*z**3 - 8*z**3 - z**3 + 2 + z - 2*z to the form c*z + s*z**3 + n + k*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 6:37 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 0*m + 3*m)*(-2*m + 4*m + 0*m)*(-90 - 35 + 20)*(-3 + 3 + 2*m) - m**3 + 5*m - 4*m - 3*m.\nAnswer: -841*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 + 22. Suppose 5*b = 61 - 41. Solve -f + x = b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t + 542 = 1694. Suppose t = 9*g - 44. Put g, -5, -2, -3 in descending order.\nAnswer: g, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/5 - 88708\/(-1340) - 0?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -17*s**2. Let d(x) = 3*x**2. Let t(b) = -11*d(b) - 2*h(b). Let r(n) = 6*n**2 - 4. Determine r(t(g)).\nAnswer: 6*g**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 7*x - 80. Let m be 5\/x - 23\/(-8). What is the highest common divisor of m and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4385153 is divided by 219257?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3758706 days to nanoseconds.\nAnswer: 32475219840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4 + 4 = 0. Suppose 2450 + 5178 = g*q. Suppose 4*p - 93 = q. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12\/5 in -1.5, -14\/9, 1.2, -4?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j = 4*j - 740. Let y(h) = -46 + 3*h + 143 - 39 - j. Let v(s) = s + 6. What is -18*v(l) + 5*y(l)?\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5573864347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 9*r - 20. Let k be ((-20)\/12)\/(r\/(-15)). What are the prime factors of (k\/(-10))\/((-4)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + (3 - 2) + 1586\/10. Let x = f + -159. Put 2\/15, 4, x, -4 in descending order.\nAnswer: 4, x, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448201 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 12, -28 = 4*x + 2*v + 120. List the prime factors of (36840\/x)\/(-4) + 6\/(-39).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20477058 to the power of 1\/2, to the nearest integer?\nAnswer: 4525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of -p**5\/20 - 9*p**4\/8 - 27*p**2\/2 + 22*p. Let c(m) be the first derivative of l(m). Find the second derivative of c(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1826 > 8889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/w**(1\/8))\/(w\/((w\/w**1)\/w)))\/(w**(3\/8)\/(w**(2\/5)\/w)))**(-3\/5) assuming w is positive.\nAnswer: w**(33\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 7:40 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -4, 1, -20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) -3\/5  (b) 1\/4  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*r = 0. Let p = 4 - 0. Let w = 6 + -9. Put w, r, p in increasing order.\nAnswer: w, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/9)\/((-78)\/156)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2118, 8455, 19024, 33831, 52882, 76183?\nAnswer: 103740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5*3*-1)\/((-363)\/3630). Solve 256 = -182*w + k*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4*q. Let r(x) = 12*x**2 + 280*x + 15. Give v(r(i)).\nAnswer: 48*i**2 + 1120*i + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {n: 7, y: 4, l: 7}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 3*j = 12, -4*k + 3*j - 31 = -28 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26386187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aoaowoow. What is prob of picking 2 w and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 140 + -72. Suppose -9*i = -o - 103. Suppose -i - 41 = -2*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -406660 divided by -81332?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231310 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 3*j + 4*j)*(32*j + 13*j - 7*j)*(8 + 7 + 4).\nAnswer: 1444*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -40493*u + 8260601. Give a(204).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/35505 and -119\/4734.\nAnswer: 71010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zmmmzmmmqmmqmmqmm. What is prob of picking 2 m?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sbbssssbbsbsbbbb?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + (-121)\/99)\/(4\/6). Which is the third biggest value?  (a) -20\/3  (b) q  (c) -2\/11  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 93*z**2 - 6518*z + 556. Determine b(70).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5033801*v**4 - 26*v**2 - 21590*v + 17095?\nAnswer: 60405612*v**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-52)\/16 + 10 + -6. Is f <= -18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2. Suppose -6 = -5*u + 4. Let y(a) = 2*a + 4*a - u*a + 6*a. What is y(l(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6289871 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, t: 2, k: 1, q: 2, g: 6}. What is prob of sequence kb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-12)\/99*73\/(-4) and 34\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -649453*g**3 + 17*g**2 - 8*g + 287677904 wrt g?\nAnswer: -1948359*g**2 + 34*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1337396847 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 233 + 65 = 0. Suppose -5*j + j = q. What is the remainder when 183 is divided by j\/4*(560\/(-21) + 2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xcxjzcxxzxjxczx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -1\/2*o**2 - 23 + 0*o + 43\/3*o**3. Is p(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - a - 69 = 61, 2*q - a - 85 = 0. Suppose 2*n + 18 = t + q, -3 = t. Solve -4*d - h - h - n = 0, 2*d + 8 = -2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -97, -91, -75, -43, 11, 93?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 9*h - 437. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -891 from 5.\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3561 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m + 2*g = 10*m + 32, 3*g + 106 = 4*m. Solve 0 = -5*y - 2*y + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-4)*v)\/v)\/v**(-3))\/(v**(3\/5)\/v*v*v**(1\/3))*v**(-1\/2)*v*v\/(v\/(v*v\/(v*v**5\/v)))*(v*v**(1\/2)*v)**(-39) assuming v is positive.\nAnswer: v**(-1529\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10025 + 5?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -g**6\/60 - 3*g**5\/20 - g**4\/24 - 17*g**3\/6 - 44*g**2. What is the second derivative of l(d) wrt d?\nAnswer: -12*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 12*g**3 - 16*g**2 + 18*g - 21. Let w be q(12). Suppose -12*y + w = -5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5232.774 - 1\nAnswer: 5231.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1582397 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of 33*w - 1 + 1\/65*w**5 + 1\/273*w**7 - 1\/39*w**4 - 1\/13*w**2 - 1\/13*w**3 + 1\/65*w**6. Let h(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15d5 (base 15) in base 13?\nAnswer: -21a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 4\/5, -318, -5\/7, 2, -8\/5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 4:32 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -254*o**4 + 1494*o**2 - o - 119984 wrt o.\nAnswer: -3048*o**2 + 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - 8*w + 9 - 35, c + 5*w - 1 = -0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a + 8. Let m(h) = h + 1. Calculate k(r) - 5*m(r).\nAnswer: -4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1)*a)\/a*a*a\/(a*a*a**(-2\/3)\/a))\/((a*a\/(a*a\/(a**(-2\/9)\/a)))\/a*a\/(a**5\/a)) assuming a is positive.\nAnswer: a**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 6:37 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i**3 + 4*i**2 + 5*i - 8. Let p(z) = -3*z**3 - 4*z**2 - 4*z + 7. Let x(s) = 4*f(s) + 5*p(s). Is 8 a factor of x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + l**2 + l - 3. Let o(u) = 470*u**4 - 4*u**3 + 394*u**2 - 5*u + 15. Let w(a) = o(a) + 5*s(a). Find the third derivative of w(h) wrt h.\nAnswer: 11280*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/6830 and 67\/13660?\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t. Let l = 1 + -5. Let g(a) = 9*a. Give l*n(q) + g(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 482, -1\/3, -0.4.\nAnswer: -5, -2, -0.4, -1\/3, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*a**2 + 112*a**2 + 55108*a - 55108*a.\nAnswer: 192*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**2 + 7*z - 9. Let p be a(7). Let h = p + 65. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -1081*s + 944. Is n(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2172\/119098)\/((-6)\/(-147)*7)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80464 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-70*r**3 - 87*r**3 + 60*r**3 - 99*r**3)*(-2 + 1 + 0 + (4 - 2 + 3)*(0 + 1 + 0))*(-2*r + 2*r + r).\nAnswer: -784*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 15 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1072800 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f. Let x be p(-2). Suppose x*i + 8 = 0, 0 = -4*r + 2*r - 2*i. Let j be 0 - 100*(r - 5). Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 4259146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 19*b**2 + 7*b - 205. Determine h(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -3.1. Let m = p - -1.1. Suppose 5*i - 103 = -113. What is the smallest value in m, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - x**2 + x - 5. Let y be g(0). Let v be ((-262)\/8)\/(7\/(-28)). Calculate the common denominator of v\/(-12) - (5 + y) and -149\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 2)*(-2 + 3 + 2)*(0 + 0 + 2*r + (-3*r - r + 2*r)*(1 - 4 + 2)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -2. Suppose -5*c + 57 = -3*l, -2*l + 4*l = 3*c - 37. Does 11 divide (1 + l)\/(1\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -3, -2, -4, 0 in descending order.\nAnswer: 20, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66066 (base 8) to base 4.\nAnswer: 12300312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -56 + 33. Are -23 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*c**2 + 13*c**2 - 5*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.197 + 11.613. What is j rounded to one decimal place?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 188, -450, -2190, -5584, -11184, -19542, -31210, -46740?\n\"Answer: -92*p**3 + p**2 + 3*p + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5524293 months to years.\nAnswer: 0.046035775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrriagrgrriiiararr. Give prob of picking 1 i and 1 a.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -x**4\/2 + 5*x**3\/6 - 12*x**2 - 4*x. Let t be k(14). What is t rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q. Let m(s) = 273*s**2 - 8583*s. Calculate c(m(t)).\nAnswer: 819*t**2 - 25749*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 - 110655?\nAnswer: -110663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/60 and -1\/10830.\nAnswer: 21660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3164090000 rounded to the nearest one million?\nAnswer: -3164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of u**4\/6 + 4*u. Let i(o) = o**2 + o**2 - 5*o**2. Calculate y(i(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.014 and -7791733?\nAnswer: 109084.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*a + 97 + 167. Let c(z) = 3*z**2 + 4*z + 5. Let f be c(-4). Let j = f - a. Solve -2*l + j*l + 30 = 5*y, -y = 5*l + 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 86107, -0.3, 3, -1?\nAnswer: 86107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/7*(-154)\/(-770). Let o = -59 - -650\/11. What is the third biggest value in 4, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53451037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 93047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 32  (b) -286  (c) 3  (d) 4  (e) 22  (f) -11\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 3:47 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 68 = -4*a + 138, 2*u + a = 384. Let o = u + -89. Suppose -3*c - v = -o, 5*c - 169 = -v - v. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 2:04 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1446 by -6.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25*b + 35*b + 12 + 6)*(-b + b - b**2) in the form h*b + m*b**3 + r + g*b**2 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2174788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express k - k + 295 - 56*k**2 - 294 as h*k + y + m*k**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 10*d - 8. Give u(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -7\/6  (c) 5  (d) -34\/65  (e) 0.019  (f) 3  (g) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -10*t**3\/7 - 144*t**2\/7 - 398*t\/7 - 264\/7 = 0.\nAnswer: -11, -12\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c, 400 = 3*q - 5*c + 296 - 16213. List the prime factors of q.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -628 and -30?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-6 + 130\/22). Solve 4 = w*p - 15*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus 347465911?\nAnswer: -347465909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -127?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -73708485 - -0.8\nAnswer: -73708484.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/4, -0.2, -43360, -2\/37, 7, -1\/7, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 2*o + 46, 0 = -3*k - 5*o + 58 - 4. Calculate the remainder when 2\/8 - (-453)\/12 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1522 + 1522 - 1071*w**3.\nAnswer: -1071*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 0 + (-2 - 3 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -121.87 - -4.37. Let t = w + 117. Let u be (-108)\/20 - 4\/(-10). Sort 0.2, t, u, -6.\nAnswer: -6, u, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4275251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 1\/6*v**3 - 4*v**2 + 0 - v. Suppose 2*r = -r + 18. Let p(n) = 2*n - 17. Determine r*p(h) - 13*i(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86249, 86284, 86319, 86354, 86389?\nAnswer: 86424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -25834, 22, -134, -3 in descending order.\nAnswer: 22, -2, -3, -134, -25834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 67 = -5*o, 32 = -5*o - 5*h - 38. Let t = -3 - o. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 477100 to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -6. Solve -3*r = -17 + f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*v = 129*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003629 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -140249 - -325038. Let w = 184789.075039 - y. Let c = w + -0.075. What is c rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 3*v + 15. Let d be x(-6). Let p be d\/(-5) + 1425\/125. Let m = -26 - -62. Calculate the greatest common factor of m and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2*j = 2332, -5*p + 4*p = -5*j - 1166. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**4\/7 - 12*h**3\/7 - 5*h**2 - 24*h\/7 = 0.\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 1) + (-1 - 0) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (5 + -6 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -1878828 and -0.12.\nAnswer: -1878828.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -85.683136 to zero dps.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*w - 36 = 26*w. Let d(b) = -b. Let k be d(-7). Is k bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 84 + -67. Let l(o) = -11*o + 5. Calculate the remainder when l(-4) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 - 6 - (-49)\/(-14)*60\/(-21). Solve m = -y - 3*k, 52*k = 3*y + 49*k - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 8*q**2 + 9*q + 10. Determine a(-8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - -1*10\/5. Let v(m) be the third derivative of -1\/8*m**4 + 0*m + 0 + 4*m**2 + 0*m**d. Let j(a) = a**2. Calculate j(v(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4846, -4843, -4838, -4831, -4822?\n\"Answer: u**2 - 4847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*f*m**3*p - 5*f*m*p**3 + 12*m**3*p**3 - 3*p**3 wrt f.\nAnswer: -11*m**3*p - 5*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1230851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 8*c**2 - 4*c + 31. Let f(v) = 8*v**2 - 5*v + 32. Let z(i) = -4*f(i) + 5*o(i). What is the first derivative of z(t) wrt t?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 0*z**3 + 1 - 47\/12*z**4 + 0*z**5 + 8*z + 7\/5*z**6 + 0*z**2. What is the third derivative of c(h) wrt h?\nAnswer: 1008*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 39*x + 48. Let f(b) = -31*b - 44. Let w(y) = 3*c(y) + 4*f(y). Let d = 2 - 10. Let j be w(d). Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56 - 27. Suppose -3*g = -u - 0*u - 44, -2*u + p = 3*g. Solve 2 = 4*f + 2*b, -2*f - b = -4*b - g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3 + 278*s**2 + 796*s - 2720.\nAnswer: 2*(s - 2)*(s + 5)*(s + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (105\/(-140))\/(5 - 123\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -99 + (-38 - -8) + 20 + 30.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86.2 + 83.41. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*o = -6*o - 17*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5*x**3 - 3*x**3 - 5*x**3 + 15*x**3 + x - 3*x**3. Let t(r) = r**3 + 2*r. Give -2*t(p) + 4*v(p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + -27. Solve u = -2*q + 7, r*q - 8*u = -3*u - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -293a45 (base 12) to base 15.\nAnswer: -d9ae5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -4*p + 19. What is z(11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/((v\/v**(-9))\/v)*v))\/(v\/v**(3\/2))*(((v\/(v\/v**(-3\/10)))\/v*v*v)\/v)\/v**6 assuming v is positive.\nAnswer: v**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3829 divided by 1?\nAnswer: -3829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32345 - 32343. Solve 2*g - 3*m - 12 = 0, -i*g - 2*g - 3*m = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 110280 or 110304?\nAnswer: 110304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7425 is divided by 1141.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -25. Let j(n) = n. What is g(d) + 5*j(d)?\nAnswer: 5*d - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 6*z**2 - 2*z - 1. Give q(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 9:43 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 1 + 3. Let l be s\/8 + 115\/20. Solve 5*g - l = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 30*((-24)\/(-15) - 2). Suppose 3*j = -2*q - 27, -2*q + 4*j - 1 - 19 = 0. Is q at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/5)\/(24\/(-60)). Let i = 8 + z. Is 9\/i + (-1276)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1641.946 to 0 dps.\nAnswer: -1642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 2. Suppose w = s - 25 + 9. Suppose 6*r - 2*r + s = 0, 0 = -u + r + 17. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 23 = 2*d. Let i(w) = -w**2 - 7*w - 7. Let z be i(-5). Let c(m) = -5*m + 5. Let n(l) = -4*l + 4. What is d*n(s) + z*c(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 18382.99 meters in micrometers?\nAnswer: 18382990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 480 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/7, 0.13, 2\/437, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 4*o = 5 - 0, -3*j - 5*o = -34. Suppose -d - j*d + 16 = 0. Put -2, d, -5 in ascending order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1178.9 - 1179. Let u = -25\/33 + 12\/11. What is the closest to 1\/3 in 5, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 67, -4, 2, -12, -15.\nAnswer: -15, -12, -4, 0, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46964?\nAnswer: 2, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = x - 7, -11 = -x - 4*x + w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-10\/9)*f*f**(2\/5) assuming f is positive.\nAnswer: f**(13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0.5  (b) 2  (c) 1  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r**3 - 26*r**2 - 306*r - 654. Give m(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f - 1. Let i be x(-5). Let j = 11 - 7. Suppose 0*t = -i*t + j. Solve 2*n = 5*r - t - 13, -n + 23 = 5*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 552824 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 194, 405, 616, 827, 1038?\n\"Answer: 211*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/25260 and 5\/128.\nAnswer: 808320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 16. Let n(z) = 21*z + 4*z - 20*z + 0 + 5. Let l(q) = 3*q + 3. Give h*l(p) + 4*n(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15657 + 6798. Let v = x + 15664. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-6)*0*1. Suppose y = 2*f - 7*f + 45. Solve -f = u + 5*w, 4*w + 8 + 8 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 15 - 4)*(-2*q + 2*q**2 + 2*q) + 0*q**2 - 2*q**2 + 3*q**2 + (4*q**2 + q**2 - 3*q**2)*(1 - 1 - 1) + 3*q**2 + q**2 - 6*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/10 in 23951, -2\/11, -2\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4 + 4 = 0. Find the common denominator of (-91)\/14*(-4)\/40 and (-1)\/v*(-162)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-16 - 1 - (271 - 296))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 2*h - h + 18, -4*h = 3*u + 1. Which is the second biggest value?  (a) u  (b) -2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 6*o - 154. Let i be m(23). Let x(g) = -3*g - 45. What is x(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1346 and 2679886?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from kjkkxppwwjppspw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*k + 14521 - 28367 + 13846.\nAnswer: 74*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3142782760 to the power of 1\/2, to the nearest integer?\nAnswer: 56061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 113\/39162 or 1?\nAnswer: 113\/39162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/126 and -25\/456?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - k**2 + k + 4. Let y(z) = z**2 - 8*z - 81. Let s be y(-6). What is g(s)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64742.\nAnswer: 2, 32371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 31 - 122 + 2)*(4*v + 2*v - 4*v).\nAnswer: -2*v**2 - 302*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*t + 114 = -68 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 2*d + 25. Suppose -q + 6*q - 2*f + 1 = 0, -f + 2 = -q. Put -1, d, q in decreasing order.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2226.484 centuries in years?\nAnswer: 222648.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 458067179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -466774486894225\/31416 - -14857858634. Let y = x + 2\/1309. What is the common denominator of 59\/21 and y?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 0.9399, -0.4, -3 in descending order.\nAnswer: 4, 0.9399, -0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 + 2)*(-1 + 1 - 5)*(2*g**3 + 8 + 12 - 23).\nAnswer: -60*g**3 + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 132 and 487828?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/243*12*(-18)\/(-4). Suppose -2 = b, -5*q + 56 = m*b - 5*b. Solve 41 = -q*t + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**2\/7 - 23000*q\/7 + 22998\/7 = 0. What is q?\nAnswer: 1, 11499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 12 + 8. Let h = -68 - -48. Let x = 20.4 + h. Sort -0.1, g, 1, x in increasing order.\nAnswer: -0.1, x, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = t - 3. Calculate the common denominator of 39\/7 and ((-363)\/(-352))\/(t\/8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -t - t + 3*h, 0 = 4*t + 3*h - 43. Is t greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 388440 and 1162?\nAnswer: 2719080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 95665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*1 - (-7)\/(1*19 - 13880\/694)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -34746.613 and 0.2.\nAnswer: -34746.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2807177880 - 4964\nAnswer: -2807182844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443430?\nAnswer: 2, 3, 5, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + b4b2?\nAnswer: b4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6946 is divided by 486?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2080184286*x - 6 + 2080184286*x + 2*x**2.\nAnswer: 2*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (1363\/470)\/((-22)\/(-220))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -48*d + 817. Let r be g(17). Let n(y) = 7*y**2 + y. Let s be n(-1). Which is the second biggest value?  (a) s  (b) 1\/5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w + 6. Let x be d(3). Suppose 2*b - 217 = -623. Let o = 207 + b. Solve 11 = o*c + x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -248, -161, 258, 991, 2020, 3327, 4894, 6703?\nAnswer: 8736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**3 + 1944*k**2 - 334605*k - 676962 = 0. What is k?\nAnswer: -789, -2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 44959647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r - h - 5, 2*r + 32 = -5*h + 7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37596761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 421286 is divided by 70043.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -11*f - 22. Let l be o(-4). Which is smaller: l or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 3*z + 4*z)*(-11*z + 2*z + 5*z + (-5 + 1 + 3)*(2 - 2 - z)) + 5*z**2 - z**2 - 3*z**2 + (0 + 0 - z)*(-2*z - 3 + 3).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*g - 38*g = 205. What is the greatest common divisor of 451 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5*g - 10 = 10, -5*g + 15 = 5*z. Suppose z*f + 3*p = 76, -f - 8*p + 22 = -4*p. Calculate the greatest common factor of 28 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a**3\/2 - 481*a**2 - 76491*a\/2 + 12802 = 0.\nAnswer: -173, -148, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -5*b**2 - 1157970*b + 1157975 = 0.\nAnswer: -231595, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1220905\/6 or 203484?\nAnswer: 1220905\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**6\/360 + 7*f**3\/3 + 3*f. Let g(u) be the second derivative of v(u). Let x(d) = -d. Determine x(g(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + (-62 - (-31 + 10)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 265\/30796  (b) 3  (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 4*u - 68, 5*b + 2*u + 274 = 308 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 166407931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6802 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: Round 0.18026 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1908.475 to the nearest 10.\nAnswer: -1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-98)\/(-14)*((-7)\/10)\/(819\/(-234))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 10*v**3 - 9*v**2 - 26*v + 158. Let n be i(8). Which is smaller: 4491 or n?\nAnswer: 4491","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 5736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -25*o**3 - 27*o**2 - 7*o - 14. Suppose 2*d + 487 = 469. Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/2, -3\/8, 1\/9, 7.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnbnxnbnybtcbbyn. What is prob of picking 1 b, 1 n, and 2 y?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -309*g**2 - 16 + 152*g**2 - 284*g - 354*g**2 + 271*g wrt g.\nAnswer: -1022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -356, -380, -410, -446, -488?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -4.25. Let u = x - 0.45. Let p = -0.300035 + u. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + -9*(-1)\/3. Let d(t) = -t - 3. Let h be d(-7). Suppose -h*i - 12 = 0, -3*i - 15 = -3*c - 0*c. Solve -c*o = -4 - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12332232 - -112?\nAnswer: -12332120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*d*t**3 - 2*d*t**2 + 3*d - 115*t**3 + 4*t**2 - 11 wrt t?\nAnswer: 84*d - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, d: 10, f: 2, l: 3, x: 1, r: 2}. Give prob of picking 1 f, 1 d, 1 w, and 1 r.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37425227 is divided by 5748?\nAnswer: 5747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 70, 72, 86, 118, 174, 260, 382, 546?\n\"Answer: i**3 - 5*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 1) + (-26 + 27 - (1 + 11)) + 11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 4*r**2 - 5*r + 4. Suppose -4*a - 20 = 4*q, 5*a + q + 2 = -11. Let c be 1\/a*(-8)\/2. Suppose 5*w = -c*z + w - 6, -z - 4*w = 9. Give g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3129 - 3130. Suppose 0*i = 4*i + 5*h - 36, -h = -2*i + 4. Let l be 12\/5 + (-6)\/15. Put 0.3, i, l, z in decreasing order.\nAnswer: i, l, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 21*y = -77*y - 2552 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.94 - -1.2. Let f = h - -2.76. Let n = f + -0.02. What is the third smallest value in n, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 3*l**4\/8 - 117*l**3\/2 + 1833*l**2\/8 - 171*l = 0.\nAnswer: 0, 1, 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 - 3*y - 1. Let u(i) = -i. Let v be u(-5). Suppose 4*s = v*s - 3. List the prime factors of d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*b**3\/11 - 35988*b**2\/11 - 216090*b\/11 - 324216\/11.\nAnswer: 6*(b - 6004)*(b + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/6)\/(10\/525). Let q = o + -11. What are the prime factors of q\/(-132) - (-398)\/11?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1567750939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*a*v**4 - a*v + 123*v**3 + 6*v**2 - 3 wrt v?\nAnswer: -72*a*v + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -1, -3 in ascending order.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - x**3 + 2*x**3 + 32*x**2 - 31*x**2 as j*x + v*x**3 + z*x**2 + w and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s**2 - 5*s**2 + 3*s**2)*(-4*s - 3 - s + 9*s).\nAnswer: 8*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + (0 + sqrt(99))*2)*-5.\nAnswer: -30*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267 smaller than 835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 - 15 = -4*q. Let f(v) = 3*v - v - 4*v + v - 6. What is f(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/2599 and 18316*(-4)\/8136 - -9?\nAnswer: 23391","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11229 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m - 1 + 1 + (3 - 1 - 4)*(3 - 3 - 9*m).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 + 15*f + 20. Let x = 62 + -38. Suppose -3*a - 42 = -2*z, 72 - x = 4*z + 3*a. Let p be v(z). Calculate the greatest common factor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368*j = 84*j. Solve 5*r + 20 = j, -o - r - r = 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -36, -42, -58, -90, -144?\n\"Answer: -s**3 + s**2 - 2*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 174043347 to the nearest integer?\nAnswer: 13193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + 0*r**3 + 3*r**3 + 4*r**3)*(-2*r**2 + r - r).\nAnswer: -14*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6202a - 2?\nAnswer: -62031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -11856 less than -0.5?\nAnswer: 11855.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -0.14  (c) -0.1  (d) 0.4  (e) 254  (f) 5  (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2078 in 0, -0.5, 9, -2\/95?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 minus -249179362?\nAnswer: 249179346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -3. Suppose 2*h = 6*h + 3*p - 28, a = -2*p. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(-2 - -1)*(-1 - 198). Let r = w + -198. Solve -4*f + 3 + r = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24930265 or -24930287?\nAnswer: -24930287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 58, 60, 50, 22, -30, -112, -230?\n\"Answer: -j**3 + 9*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 47436, 94607, 141778, 188949, 236120, 283291?\n\"Answer: 47171*x + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + sqrt(99) + -2*(sqrt(99) + (sqrt(99) - (sqrt(99)*-2 - sqrt(99)))) + sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(324).\nAnswer: -7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 810.8834 days?\nAnswer: 70060325760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 251 + -1493\/6. Let v = -205229\/11508 + 1\/3836. Find the common denominator of v and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 49090, 49087, 49074, 49045, 48994, 48915, 48802?\n\"Answer: -r**3 + r**2 + r + 49089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25625 and 112225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 102\/(-27) - 2\/9. What is the least common multiple of (0 - r\/(-8))*(3 + -63) and (2\/(-4))\/(9\/(-972))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 15 = -4*q + 1, -5*a = -2*q + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -82422, 2, -249 in ascending order.\nAnswer: -82422, -249, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 6:53 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2291375 divided by 43.\nAnswer: -2291375\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1 + ((-2 + sqrt(684) + -4 - sqrt(684)) + sqrt(684) + -1 + -3)**2)*1 + -3).\nAnswer: -600*sqrt(19) + 3910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 - t + 2. Let z be y(2). Find the first derivative of -7*l - 3*l + z - 2 + 8 wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -232 + -311?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*y + 46 + 65 + 57 - 168.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -45857772 rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/1893519665?\nAnswer: -1\/1893519665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45676 and 5387364.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -5  (b) -3223  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-476)\/3400*5\/(-140)*4.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.04 + 0.34. Let q = -54 + -114. Let z be (-3)\/((-6)\/4) - q\/(-70). What is the closest to z in -4\/7, -2\/9, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and 25021070?\nAnswer: 25021070.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 - -15. Let r(g) = g**2 + g + 1. Let y be r(-3). Solve q = -y*d + 3*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/163361583 and -163\/108907722.\nAnswer: 326723166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 1408d?\nAnswer: -1408c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 7582005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 10*j + 0 - 5*j**2 + 4*j**2 + 5. Let d be f(8). Let x be (-2)\/1 - (-40)\/d. Sort 2\/3, 0.5, x in decreasing order.\nAnswer: 2\/3, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119591167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 572 + 152 = 0. Let f(l) = 5*l - 9. Let p(i) = 4*i - 8. Let x(g) = -2*f(g) + 3*p(g). Let t be x(5). What is the greatest common factor of t and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77934 is divided by 12974.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -11749?\nAnswer: 11748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -2*j - 21 + 15, 5*z = -5*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*t = 1155, -t = u - 3*u + 2310. List the prime factors of u.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -i**6\/40 - 7*i**4\/12 - 3*i**2\/2 - 19. Let k(r) be the second derivative of t(r). Find the second derivative of k(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-15) - (-6)\/(-15). Suppose y = -37*s + 32*s. Solve 0 = -q - s - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, v: 3, r: 3, q: 2, n: 1, p: 2}. Give prob of sequence vvn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 205 + -206. Let n(j) = j**3 - j**2 + j + 1. Let m(l) = l**3 + 4*l**2 - 2*l - 5. Let z(g) = t*n(g) - m(g). Calculate z(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.488 - -0.3473\nAnswer: -0.1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + (-7 - -4))\/2. Suppose g*m + m - 5 = 0. Solve 0 = -2*a - 4, 0 = 3*j + m*a - 2*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1444605 and 0.5?\nAnswer: 722302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 481134 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u - 1897. Let b(p) = p**2. What is b(w(m))?\nAnswer: m**2 - 3794*m + 3598609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 19 - 1432*k**3 - 2*k**4 - k - k**2 + 1436*k**3 to the form c*k**2 + u*k + x*k**4 + d + g*k**3 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 23 - 2. Let x(f) = -f**2 + f. Let a(d) = 4*d**2 - 2*d - 13*d**3 + 11*d**3 - d + 2 + d**2. Determine p*x(q) + a(q).\nAnswer: -2*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1a (base 12) to base 3\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(40\/(-15) + 3)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.17046473 rounded to two dps?\nAnswer: 60.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 104220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from {d: 11, c: 2, l: 3, x: 2, q: 1}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-1 + -6) - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15548, -31349, -47150, -62951, -78752?\n\"Answer: -15801*y + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, 4, -5, -236166.\nAnswer: -236166, -45, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3059 + -3059. Factor 0 + 2\/7*c**2 - 2\/7*c**4 + g*c + 0*c**3.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28*((-49761)\/(-399))\/97\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6672 and 172.\nAnswer: 286896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (8 + -10 - -6 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 5*g = 2*g + 4*i, -4*g = 4*i - 14 - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2880)\/(-52))\/(-8)*(-76)\/(-3534)*31?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32 or 6769\/214?\nAnswer: 6769\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -357*j**2 - 2873*j + 8. Suppose 0 = 3*o - 4*o + 32. Calculate the least common multiple of i(-8) and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03783 times 4?\nAnswer: -0.15132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((4 + -4)\/4)\/(-2). Suppose -5*g - 5*j = -g + 97, -3*g + 5*j - 64 = x. Let c = 29 + g. Calculate the greatest common factor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**3 - 19*p**2 - 3*p - 11. Let z(c) = 2*c**3 - 18*c**2 - 4*c - 11. Let y(q) = 3*v(q) - 4*z(q). Let o be y(8). Solve -6 = -0*h + o*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/15*6\/264*10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -103 - -102.8. Is p less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -46*p + 2. Let v be h(0). Let o(s) = 35*s**v - 3 + s**3 - 101*s**2 - 1 + 2*s + 40*s**2 + 28*s**2. Give o(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60 (base 10) to base 15\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/13)\/((-13)\/(26\/4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 638*k**2 + 549*k**2 + 557*k**2.\nAnswer: 1744*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**2 + 5*h**2 - 5*h**2 + (13*h - 9*h - 9*h)*(h - 3*h + 0*h + (-5 + 3 + 0)*(0 + 0 + 2*h) + 0*h - 2*h + 0*h).\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*p**5 + 10*p**5 + 63*p**5 + (2*p - 2*p + 2*p)*(0*p**4 - 2*p**4 + 0*p**4).\nAnswer: 58*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 7*s - 5 - 22*s + 5*s + 12*s. Calculate u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29 + 77. Let r = -33 + p. Calculate the smallest common multiple of 3 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2 = 8. Let r be (1 + -2 + 2)*y. Let v(u) = u**r - 3*u**2 + 4*u**2 - 3*u**2. Let x(c) = 11*c. Calculate x(v(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 307412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*y + 123 - 475. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000035788 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.138122 + 80264?\nAnswer: 80263.861878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*k + 486 - 6408 = -417*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1317621.291 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 83 + (40776 - 40926)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 4*u - 46. Let q be x(9). Suppose -3*h + 8*h - 20 = 0. Suppose -3*f + 1 + 2 = -5*n, 0 = -3*n + h*f + 7. Sort 5, q, n in decreasing order.\nAnswer: 5, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6970, 6963, -6998, -41891, -104694, -202385, -341942?\n\"Answer: -1163*v**3 + v**2 + 8131*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.001 + 0.048. Let s = -0.447 + g. Let h = -10 + 11. What is the nearest to -1 in h, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(130)*-1 - sqrt(130))*-2)\/((sqrt(90) - -1*sqrt(90))*2).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f + 42. Let t be h(-25). Let y(z) = -z**3 - 7*z**2 + 4*z - 10. Calculate y(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -97*a + 124 + 70. Put -1, a, -262 in descending order.\nAnswer: a, -1, -262","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 4\/3  (b) -145  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (-6 + 15)) + -5 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.019 - 0.019. Let g = 0.9 - 3.9. Let r = 0.1 - -0.2. What is the closest to -1\/4 in x, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, a: 10}. Give prob of picking 4 a.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + g + 5. Let w be 4*6\/4*-4. Let m be (-6)\/w + 1\/(-4). Let n be j(m). Solve 12 = 2*i - 6*i - r, -i - n*r - 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3)\/9*-69)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -0.4  (b) -2\/11  (c) 3  (d) 4  (e) 0  (f) 49805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from ddddtttdddt?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-21)*-607 - 0\/1. Let b = r + -87. Let p = -4 - -8. What is the nearest to 1 in p, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j = -4*y + 24, -j = -2*y - 28. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 2:14 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7104 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48 - 10. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 196 and 1691186?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 4*o - 79 = 0, 12*v = -2*o - 67 + 327. Let m(b) = -4*b - 5. Let j be m(-6). Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*u**4 + 10*u**4 + 12*u**4 + 6*u**4 - 10*u**2 wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -28. Let r(v) = 219*v - 2616. Let g be r(12). Is g > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) 2\/5  (b) 4  (c) 2\/3  (d) -1\/7  (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*r**2 + 28*r**2 + 2*r - 61*r**2 to the form n*r**2 + k + w*r and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1234079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/t**(2\/9)*t)**(-5\/4))**9)**(2\/3))**(10\/9) assuming t is positive.\nAnswer: t**(-400\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4410323 (base 5) to base 4.\nAnswer: -102133001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a**2 + a. Let l be b(0). What is the second derivative of d + l*d**4 - d**4 - 23*d**4 - 16*d wrt d?\nAnswer: -288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1988)\/6674*((-110)\/(-14) + -8)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m - 3*m - 6*m + (-4 - 1 + 3)*(-12*m + 19 - 19) - m + 6*m - 2*m + (m - m + 2*m)*(3 - 1 + 5).\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 104 and 212056.\nAnswer: 212056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12714812863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -389605, -1558469, -3506591, -6233983, -9740657?\n\"Answer: -2*w**3 - 389617*w**2 + w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 3 + -3 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -9*n**3 + 7*n**2 + 7*n + 20. Let h = -3263 + 3270. Let s(j) = 6*j**3 - 5*j**2 - 5*j - 13. Give h*s(v) + 5*r(v).\nAnswer: -3*v**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus 14056246?\nAnswer: -14056246.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -5*b - 23. Let j(d) = -5*d**3 - 38*d**2 + 61*d - 4. Let t be j(-9). Give x(t).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 169, 410, 769, 1258, 1889, 2674, 3625?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/2 - -8 - (5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2 - 8. Calculate the remainder when (-903)\/(-15) - 2\/i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20903 to the nearest one hundred.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 5 = 3*l. Calculate the common denominator of -28 and l*(-25)\/15 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.8 and -3366.\nAnswer: -3364.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005028 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/3, 0, 9159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4744 + 4748. What is the least common multiple of 324 and y?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*v**2*w**2 + 2*v**2*w + 2*v**2 + 5*v*w**4 + 6*v - 2*w**3 wrt w.\nAnswer: -16*v**2 + 60*v*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 AM and 1:57 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 3*r + 25 = 19*b, -3*r = -4*b + 25. Suppose -37 = -3*u + c, -4*c - 6 - b = -u. Solve -u = 7*f - 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29\/20 + -6\/5. Let u = 71\/66 + -10\/11. Let j = -2904 - -2904.4. Which is the closest to -1\/5?  (a) q  (b) j  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 1:09 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 257*r + 16263. What is a(-63)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnjssygjnywj. What is prob of sequence jj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 72 - 53. Suppose -5*y + z = -182, 4*y + 2*z + 3*z - 134 = 0. Calculate the remainder when y is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 918 and 26.\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*((-180)\/(-6))\/(-10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 11:35 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 174 - 93. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 0*k + 12 = 0, -645 = -4*s + 5*k. Let p = -35 - s. Let m = p + 426. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*z**4 + 20*z**2 - 20*z**2)*(-8 + 8 - 6*z + (-2 + 0 + 0)*(0*z - z - z))*(1 - 3 + 4).\nAnswer: -28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2632 and 20?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 7 = 4*p, -2*z = 3*p - 3 - 0. Let v(y) = -z*y - 8*y + 0*y + 10*y. Let j(k) = -k - 2*k - 2*k. Give j(v(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -3)\/(-1*62\/(-8) - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (15 - 12) + (3 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(3)*-2)*3 + (6*(1 + sqrt(3)) - (sqrt(12)\/sqrt(4) + 3)).\nAnswer: -sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82365510 is divided by 41182754.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of p**5\/30 - p**4\/12 - 11*p**3\/6 - p**2 - 3. What is the first derivative of b(c) wrt c?\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 895609, 1790676, 2685743, 3580810, 4475877?\nAnswer: 5370944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51943561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1341029 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2297615 is divided by 8975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2323007, -2323011, -2323017, -2323025, -2323035, -2323047?\n\"Answer: -r**2 - r - 2323005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1154375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 6*f - 24 = 0. What is the least common multiple of 12 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + -9 - 1647627\/(-3). What is s rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637)*1*-1)**2*6*3 + sqrt(637) + (sqrt(637) + -1 + 2)**2 + -4*(sqrt(637) - (sqrt(637) + -1*sqrt(637))**2).\nAnswer: -7*sqrt(13) + 12104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 5*g**7\/42 - g**6\/6 - 11*g**5\/4 + 15*g**4\/4 + 15*g**3 - 793*g. Find l, given that i(l) = 0.\nAnswer: -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 173*r**2 + 36*r + 533. Is k(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201 (base 15) in base 13?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 863356 and 332060.\nAnswer: 4316780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151*h**2*k**2 - 199*h**2*k - 1984*k**4 - 742*k wrt k?\nAnswer: 302*h**2 - 23808*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-213)\/(-2))\/(3\/(-4)). Let o = 45 - 119. Let n = o - g. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -109, 284, 1371, 3500, 7019?\n\"Answer: 58*q**3 - q**2 - 10*q - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179701822?\nAnswer: 2, 37, 2428403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 - 15.3. Let u = s - -11. Which is the nearest to 6?  (a) -1\/2  (b) 3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 1.641321.\nAnswer: 1.741321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2154 - 2152.8. Sort -4, l, 4 in ascending order.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 190, 2.\nAnswer: 0, 2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3*r - 51482 + 831 = 0, -24 = -4*r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/1037400 and -109\/4382560.\nAnswer: 1249029600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*z - 8, 0*z + 12 = -3*z. Suppose 38*b + 21 = 31*b, 3*b = -2*c - 1. Solve 0*r + 4*r = -2*g + c, m*g + 4 = 4*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18696, -74589, -167732, -298113, -465720, -670541, -912564, -1191777?\nAnswer: -1508168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1157 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w**2 + 14*w. Let k(r) = 139*r - 107. Calculate k(f(b)).\nAnswer: 278*b**2 + 1946*b - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 95*p**3 - 3*p**2 + 15*p - 25. Let h be v(2). Let x = h + -747. Let f(a) = -2*a**2 + 6*a - 6. What is f(x)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11424200 (base 5) to base 12\nAnswer: 52642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-53)\/212)\/((-1)\/1284) is divided by 86.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 14690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32554 is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*h, 0 = 3*h - 5*h - l + 2. Solve h*f - 4 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 553199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 15. Suppose -9917 = 2*m - j, -3*m - 463 = -c*j + 14411. Is 6\/(-39) - m\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 576\/(-84)*(72\/(-12) - (-85)\/13) and -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-12) + 0)*(-30)\/(-2). Let w(j) = -j**3 + 5*j**2 + 5*j - 22. Let u be w(m). Solve 5*f + u*f = -16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 11*n + 13. Suppose -3*u - 6 = -3*f, 0 = 4*u + 2*f - f + 3. Let y be k(u). Solve y*w + 3*c = -11 + 3, 3*w + 9 = -3*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.30485412875 take away -5?\nAnswer: 15.30485412875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 11*v**2 - 36*v + 239. What is p(9)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of g**3\/3 + g**2 - 4*g + 12. Let b = 11 - 9. Let x be t(b). Solve -z = -9 + x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6a (base 15) to base 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7359 = -8*n + 1361. What are the prime factors of n?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 432*m + 500*m + 165 + 8223 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 10) in base 6?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 112065705*a**2 - 26108700*a.\nAnswer: 224131410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -11*o - 34. Let n be d(6). Let z be n\/(-16) - (-75)\/(-60). Let i be 4\/(-14) - (-32)\/14. Solve -z*g - r + 25 = -i*r, 4*g - 11 = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/8 in -5, 26033, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-10))\/(1*16\/(-20))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*u = -437, 4*y + 5*u - 536 = 56. Calculate the remainder when y is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14f811 (base 16) in base 9?\nAnswer: -2524066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b**2 - 403*b. Let d(a) = 121*a + 1. Calculate s(d(c)).\nAnswer: 58564*c**2 - 47795*c - 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 3, -83936 in decreasing order.\nAnswer: 23, 3, -83936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 + 5*d - 1. Let q(l) = l**2 - 39*l + 26. Give -q(x) + v(x).\nAnswer: x**2 + 44*x - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = -2*u + 121. Let d = -0.59 + -3.31. Let a = d - -4. What is the nearest to a in -0.5, -0.03, u?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 121 = 81. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l + 8*l + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/13?  (a) 2\/11  (b) -16\/7  (c) 303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 20.7 in -3, 3\/8, 95, -0.1, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8092 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1224602 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/711 and -89\/316.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -3455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**2 + 49*f**2 - 6*f**2 in the form y + l*f + t*f**2 and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 4*i**2 - i + 1. Let c(x) = -37*x**2 - 19*x - 730. Let n(a) = -c(a) - 4*l(a). Differentiate n(h) wrt h.\nAnswer: 42*h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 3, b: 9, q: 2, z: 3, r: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, i: 5, f: 8}. Give prob of picking 1 f and 3 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 3:08 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 2*r**5 + 4*r)*(-2 + 2 - 3) + 4*r**5 - 2*r**5 - 5*r**5.\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 171\/8, -0.266, 6?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**3 - 5*y**2 - 10*y + 4. Let n(j) = 32*j - 27. Let v be n(1). Does 44 divide r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/2 and 2 - (-7 - 6923\/(-760)).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7077.08042 rounded to one dp?\nAnswer: 7077.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8093, 14272, 16621, 13226, 2173, -18452?\n\"Answer: -319*i**3 - i**2 + 8415*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k**2 - 3*k - 6. Let q be i(6). Let j = q - -67. Let l = -34 - j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 7.4. Let r = c - -4. What is the third biggest value in 2, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and -26827413.\nAnswer: -26827413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -71828 + -7?\nAnswer: -71832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -771098982 - -8?\nAnswer: -771098974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -94, -46, 70, 3 in descending order.\nAnswer: 70, 3, -46, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7\/109 - 32\/1199. Which is the closest to 117?  (a) 3\/8  (b) o  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -335 - -202. Let q = 164 + a. What is the highest common factor of q and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1980 greater than -26616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*h = -2*h + 60 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -193*o**2 - 157*o + 5. Let d(p) = -96*p**2 - 68 - 79*p - 58 + 128. Let z(i) = -5*d(i) + 2*s(i). What is the second derivative of z(g) wrt g?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42924760717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/21)\/(3\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271302 is divided by 463?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + 8*k - 14. Determine y(-12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-13)\/a**(1\/2))**16)**(-11) assuming a is positive.\nAnswer: a**2376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rua when three letters picked without replacement from {a: 1, r: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 7*o**2 + 4*o - 8. Let q(z) = 13*z**2 + 7*z - 16. Let m(b) = 11*j(b) - 6*q(b). Find n, given that m(n) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/50 != 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1844*k - 1539*k + 4575 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2103 - 23*m**2 - 2279 - 2106 + 6488.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 326657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 9:17 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2710*a + 915*a + 1258*a)*(3 - 1 + 1).\nAnswer: -1611*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s - s - 4*s)*(0 + 0 - 2)*(2*s + 3*s - 3*s) + 11*s**2 + 34*s**2 - 6*s**2 to the form a*s + b + d*s**2 and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 9. Let h be (-2)\/g - 12\/(-7). Find the second derivative of -2*a - 2*a**2 + 2*a**5 + h*a**2 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*m = 2*t + 152*m + 10, 15 = -3*t - 3*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85.1 - 85. What is the closest to -2\/3 in -2\/5, l, -0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 3 = 3*h, 0 = -6*h + 7*h - 2*r + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - -10. Are -0.1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -w**2 + 0*w**2 - w**2 + 87*w**3 + 19 - 86*w**3 + 38*w. Find the first derivative of d(a) wrt a.\nAnswer: 6*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 10:47 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 23a (base 16) to base 12\nAnswer: 3b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 1 = -14. Suppose -2*x - 11 = 3*l, 0*x + l + b = -x. Suppose -5*c = 3*j - 129, -c = x*j - 6*c - 61. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**3 - 4*c**2 - 4*c - 2. Let v be -10*(1196\/65 - 18). Let n(d) = d**3 + d**2 - d. Determine v*n(p) + q(p).\nAnswer: -2*p**3 - 8*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 + 4*h - 8*h**2 + h**2 + 3*h**2.\nAnswer: h*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 5*k + 22 = -3*y, 2*y + 8 = 0. Suppose 3*z + z + 3*f = 23, 5*z + 15 = 5*f. Calculate the greatest common divisor of k and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 920 and 575000.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 + m**3 - 3*m**3)*(4*m - 2*m - 3*m) + (-3*m + 4*m + m)*(0*m**2 + 0*m**2 + m**3) + m**4 + 6*m - 6*m.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 4*k + 8. Let l be n(4). Let r(c) = 6 - l + 1 + 0 + c. What is r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1841 + 4?\nAnswer: -1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5905, 5907, 5909, 5911?\nAnswer: 5913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2*q - 57 = -5*w, 3*w + 2*q - 21 = 0. Suppose 0 = 11*g - w*g - 124. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -896853 and 5?\nAnswer: 896858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 1. Let g(i) = 4*i - 8. Let o = 45 - 44. Determine o*g(y) + 6*c(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + a + 4*c - 8 = 0, 5*c = a - 20. Suppose 0 = -2*h + 3*y - 50, -2*h - 50 = -3*y + a*y. What are the prime factors of (-1232)\/(-6) + h\/75?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (116 + 128 - 31)*(j + j + 0*j) to a*j + q and give a.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45*(-1)\/(-42)*(-3)\/(-18)*4.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (24 - 51) - 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 131\/12 + -11. Suppose 8 = -5*i + 3*q, -2*i = -5*q + 2 + 5. Is i equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {s: 2, g: 2, i: 1, y: 1, f: 7, j: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {j: 1, y: 4, v: 3, a: 1, c: 6, l: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32 - 3) + -17 + -41.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19233\/1070 + 179\/10. Let p = z + -356\/963. Let u = -238654.8 - -238653.8. What is the fourth smallest value in u, p, 1\/5, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2645176 rounded to the nearest 10000?\nAnswer: -2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h + 452 = 522. Suppose 2*y + 3*y = 15. Suppose r = -t + 6, -5*t - 5 - 13 = -y*r. What is the remainder when h is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 4*x + 131 = 0, -163 = 3*j - 2*x - 2*x. Let k = 81 + j. Are 32 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 1\/13, -3\/10, 4.\nAnswer: -3\/10, 1\/13, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -2*l - 5*h, l + 24 = -6*h + 2*h. Is -11 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**2*i**3*o - 89*b**2*i**3 - 1966*b**2*o + 3*b*i**3 - b*i**2*o - 2*b*i**2 - 18*b*o + 3*i**3 - 3 wrt b?\nAnswer: 4*i**3*o - 178*i**3 - 3932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -16803 (base 9) in base 6?\nAnswer: -125350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2037*v - 2018*v + 133 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17548\/5 - -3510. Which is the nearest to j?  (a) 8  (b) 3\/5  (c) 4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 5 = i - 4*y, -5*i - 2*y - 15 = 0. Let m be 9*i\/(-10) + -4. Which is the nearest to 3?  (a) 0.1  (b) 1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -202*l**5 - 82*l**2 wrt l.\nAnswer: -12120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -290*o**2. Let x(j) be the first derivative of 2*j**2 + 187. What is a(x(t))?\nAnswer: -4640*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 11. Suppose 3*w - 168 = -3*m, -4*m - 5*w = -45 - 180. Let u be (m\/10)\/((-2)\/(-4)). What is the greatest common factor of u and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121 + 33 = -22*l. Let n(c) = -c**2 - c**3 + 2 - c - 2*c - 4*c**3. Let a(k) = -6*k**3 - 2*k**2 - 4*k + 3. Determine l*n(j) - 3*a(j).\nAnswer: -2*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -4  (c) 0.2  (d) 374  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -297, -332, -399, -504, -653, -852, -1107, -1424?\n\"Answer: -t**3 - 10*t**2 + 2*t - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wruz when four letters picked without replacement from surluwurzrwl?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6078*s**5 + 4*s**4 + 332*s - 31 wrt s?\nAnswer: 121560*s**3 + 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 1692*j**3 + j**2 - 14*j + 14. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 5 + 3)*(-102*g - 156*g + 7*g)*(-g + g - 4*g) in the form u*g**2 + m*g + q and give u.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - 47*m**2 + 99*m + 43. Let r(v) = -6*v**3 - 24*v**2 + 50*v - 5. Let t be r(2). What is n(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -132221011 + -2?\nAnswer: -132221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 339, -385, -1109, -1833, -2557?\n\"Answer: -724*t + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**2 - 30*l - 101. Give f(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.06 - 0.04. Let x = -29.052 - -12.702. Let p = y - x. Round p to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6189226310 to the nearest integer?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - -2. Let t(x) = -x**2 + 2*x + 43. Let n be t(-5). What is the highest common divisor of n and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -3.6. Let m be -4*10\/(-15) + -3. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4661 - 4663. What is the nearest to -1 in -58, -3, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122 = 15*w + 46*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + k - 1. Let n be l(-2). Let t(w) = w**2 + 2*w + 1. Let u be t(-1). Is n greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 134 - 355?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5015 (base 7) to base 8.\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - -20. Suppose 3*u + 4 = 16. Suppose -2*g + 4*i + t = -124, -2*g + 114 = u*i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 737 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/156*-13*(-1)\/((-1)\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38 and 2432.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 820743.\nAnswer: 3, 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What comes next: 49172, 98345, 147518, 196691, 245864, 295037?\nAnswer: 344210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3770320?\nAnswer: 2, 5, 47129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*40.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 + m**2 - 3*m**2)*(-5*m + 2*m**2 + 5*m)*(0 - 2 + 1).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of g**6\/105 - 11*g**5\/70 + 10*g**4\/21 + 32*g**3\/21 - 127*g - 1. Factor o(h).\nAnswer: 2*h*(h - 8)*(h - 4)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3556 - 3568. What is the second smallest value in q, 0.5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, -16, -2\/5, -0.2 in descending order.\nAnswer: 5\/4, -0.2, -2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f + 8. Let z be m(-2). Suppose -4*q + 18 = 2. Suppose -2*k - 62 = -q*k + t, z*k + t = 130. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 + -1?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 47110824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 2*b = 9290. Suppose -17*y + 22*y = b. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3\/5 - 81*h**2\/5 + 357*h\/5 + 441\/5.\nAnswer: 3*(h - 21)*(h - 7)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1349885992 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 1*12\/(-42) + (-2944)\/(-112)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -572 (base 10) to base 16.\nAnswer: -23c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, r: 5, a: 7, e: 4}. Give prob of sequence eh.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 11*k - 20. Let i be b(-6). Suppose -2*o = -a + 373, 6*o - i = 4*o. What are the prime factors of a?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 283 = -292, -4*v = -z - 41 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.8 and 8814.008?\nAnswer: -7051.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 - 30. Let c(j) = j + 1. Let r(y) = y**2 - 2*y. Give o*r(v) - 2*c(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 i when four letters picked without replacement from {i: 4, n: 7, l: 3, d: 4, r: 1, g: 1}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -774, -3051, -9238, -21291, -41166, -70819, -112206, -167283?\n\"Answer: -326*k**3 + k**2 + 2*k - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9*c**3 - 5*c**2 + 3*c + 2. Let u(r) = 25*r**3 - 14*r**2 + 8*r + 6. What is -8*g(a) + 3*u(a)?\nAnswer: 3*a**3 - 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16814757 - -12459732010\/741. Let x = -25\/114 - y. What is the common denominator of x and -62\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 1218*y + 8. Let h(g) = 185136*g + 1218. Give 4*h(a) - 609*w(a).\nAnswer: -1218*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2938*v + 2851*v - 3045 = 0 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 2*q + 70, 0 = -5*q + 27 - 7. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 times -251\nAnswer: 9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 847 is divided by 213?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) -173  (c) -16961\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**6)**(-9\/2) assuming f is positive.\nAnswer: f**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/632 and -109\/132.\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 28*z + 8. Suppose -8 = -2*t, -10*d + 9*d + t - 42 = 0. List the prime factors of c(d).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -194a (base 15) in base 3?\nAnswer: -21111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3732075?\nAnswer: 3, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 11:23 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (156\/(-78))\/(2\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*r**3 - 13*r**3 - 2*r**3)*(4 + 0 - 1) to k + n*r**3 + l*r + o*r**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 - 6536323874.\nAnswer: -6536323874.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3*x**2\/4 - 3*x\/2 + 6 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3034*w - 4958 wrt w?\nAnswer: 3034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1766797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -4*g + 15640 + 1568, 5*m + 12904 = 3*g. What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-7)*19152\/1026\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 4*g**5 - 18028*g**4 + 20304028*g**3 + 20340092*g**2 - 20304032*g - 20322064 = 0.\nAnswer: -1, 1, 2254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 8, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 22*o + 1555. What is f(-63)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 2\/7  (b) -4  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-936)\/(-39) + -38 - 5110\/(-385)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaab when four letters picked without replacement from {a: 8, b: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -14*m**3 + 6*m**2 - 18*m + 8. Let v(k) = 11*k**3 - 5*k**2 + 17*k - 8. Let u(j) = 6*v(j) + 5*y(j). Find l such that u(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(-36*g + g - 7*g).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 - 18 = -104*o. Sort -17, -8, o, -4, -33.\nAnswer: -33, -17, -8, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50325294 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -27*o**3 + 48*o**2 - 108*o - 12. Let a(b) = -2*b**3 + b**2 - 1. Let f(j) = -12*a(j) + m(j). Factor f(v).\nAnswer: -3*v*(v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-15) + (-178)\/10 + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1851832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*n**4 - 2*n**4 + 7*n**2 - 15*n**2 - 8*n**2 + 10*n**3 + 8*n.\nAnswer: -2*n*(n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -107 - 156777?\nAnswer: -157106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 8. Suppose t = 3*w - 4 - 2. Solve 2*k = 4, -p + 3*k = -0*p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 224351 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 711983125.8 rounded to the nearest 100000?\nAnswer: 712000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68ade (base 16) to base 15.\nAnswer: 87096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.1, 6\/11, 38 in ascending order.\nAnswer: 0.1, 6\/11, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2*g**5 - 434*g**4 - 22086*g**3 + 47250*g**2 + 68904*g = 0.\nAnswer: -132, -87, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-22))\/((-6)\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.055*-33296288.\nAnswer: 1831295.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4075 and -0.4.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -1152?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 548 = -5*a + 5*f + 2883, 3*a + 4*f = 1422. What is the remainder when a is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o**(-1\/5)*o*o)\/(o\/(o*o**(-6)\/o)))**26)**37)**7 assuming o is positive.\nAnswer: o**(-175084\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/3 - 15*(-16)\/(-72) - -22. Let y(z) = -6*z + 2. Let p be y(-5). Suppose 42 + 4*o**2 - 25*o + 6*o**2 + 20*o**3 + 5*o**5 - w*o**4 - p = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10459 in -439, -0.3, 1\/3?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w + 2. Let z be k(2). Let l(x) = 3 + 5 - 2 - x. Let o be l(3). What is the greatest common factor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -570110.7 times -4\nAnswer: 2280442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -27*m. Let q(j) be the second derivative of 0*j**2 + 0 + 119*j + 13\/6*j**3. What is u(q(v))?\nAnswer: -351*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 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: Suppose -397010 = 23*m + 38*m - 2690427. What are the prime factors of m?\nAnswer: 7, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 117 and 10713423.\nAnswer: 417823497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(77)*1 - (sqrt(77) - 1*1*sqrt(77)))\/((sqrt(7) + sqrt(14)\/(sqrt(2)*3))*3)*3.\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, y: 2, d: 4}. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -1431.2?\nAnswer: -4293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 6*y**2 - y - 5. Let a = -73 - -108. Suppose 3*j + a = -i, -2*i - j = -0*i + 45. Let l = i + 14. What is f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-7)\/35*-11*10 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 9852.73ng?\nAnswer: 0.00985273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 4*v - 20 - 12, -v + 3*z = -18. Suppose -2*n = -5*n + v. Solve t - 3*t - 3*p = 13, 0 = 5*t + n*p + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and -104846608.\nAnswer: 5242330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*p + 61*p - 35 = 5*d, 355*p = -38*d + 353*p - 266 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 57839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10353953.\nAnswer: 10353953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -2*d**2 - 11*d - 344. What is f(10)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xwwwxvwxwxwvvwwwww. Give prob of picking 2 x and 1 w.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3 + 28*q - 40*q + 4. Let n(b) = -106*b**3 + 3*b**2 - b - 2. What is the remainder when n(-1) is divided by g(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a*k**2*u - 18*a*k*u + a*k - 2*a*u - k*u**2 + 30*u**2 wrt k.\nAnswer: -2*a*k*u - 18*a*u + a - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 373, 750, 1129, 1510, 1893, 2278, 2665?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/58  (b) 0  (c) 1\/8  (d) -210572\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 14 times 8\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - 58?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-3\/5)\/(v*v**1\/v*v)*v\/v**(-2\/11)*v**(-4)*v*v**(-1)\/(v**(1\/2)*v)*(v*(v**(-5)*v*v)\/v)\/(v**(-6)*v) assuming v is positive.\nAnswer: v**(-541\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3455 (base 7) in base 4?\nAnswer: 103301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/80*((-2025)\/30)\/27\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -93 (base 16) to base 11.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1360, 5, 2 in decreasing order.\nAnswer: 1360, 5, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 5. Let o = u + 3. Suppose -o*t + 40 + 40 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -499 = 21*j - 2998. Suppose j*t - 129*t = -3080. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15393 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 523 and 335243?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 46379549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -11, -27, -43, -59?\n\"Answer: -16*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -107182 - 157?\nAnswer: -107339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 - 31. Suppose -2*k - 2 = -a, 5*k + 19 = 3*i. What is the highest common divisor of 56 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + -1*sqrt(720) + sqrt(720))**2 + sqrt(80)*1 + sqrt(5) + -5.\nAnswer: 5*sqrt(5) + 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.102285 take away -1.65?\nAnswer: -22.452285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from psppttjspj?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, w: 4, p: 2, c: 5}. What is prob of picking 1 f, 1 c, and 2 w?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c**3 + 29*c + 3938 with respect to c.\nAnswer: 9*c**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 920*d**3*r**3 - 3*d**3*r**2 + 786*d**3 wrt r?\nAnswer: 2760*d**3*r**2 - 6*d**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 5*b - 2*b + 5*b + 4 - 2*b. Suppose -3*k = -8*k + 20. Let m(z) = -5*z - 3. Let o(f) = k*m(f) + 3*i(f). Let c(p) = -3*p. What is c(o(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 349*s - 11278. What is g(32)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 598833465 a multiple of 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1152*g - 83 + 162 - 79 + 888*g to the form l + j*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26479*q + 25232*q - 41151 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 - 3*k - 6. Let d be o(3). Suppose 362 - 125 = d*c. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2756 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(-8)*(3\/5 - 4958\/(-670)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 169 - 154. Suppose -3*o - 3*p = -w, 0 = -p - 0 + 3. Solve -o*z - 5 = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide ((-55)\/(-22) + (-3)\/18)*852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -222.4624839297 and -0.3.\nAnswer: -222.7624839297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4416 - 1492 = -7*q. Suppose 10*j - 5*j = -2*z + 346, -5*z - 2*j = -q. What is the highest common factor of z and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 14) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/17)\/m)\/m**(-1\/10)*m**(-1)\/m*m*(m*m\/(m*m*m**(-1\/4)))\/m assuming m is positive.\nAnswer: m**(-941\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {v: 1, i: 2, p: 1, z: 3, h: 3, d: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 2*h**3\/3 + 2. Let n(k) = 511 - 511 + k. What is n(v(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -457 (base 10) in base 7?\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*g - 142*g = -40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 83 and 35939.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/sqrt(2000))\/(sqrt(44)\/(sqrt(11) - sqrt(11)*5*-1)).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19247808.\nAnswer: 2, 3, 17, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 + 2*d - 9. Let q(i) = -3*i**2 - 5*i + 26. Let c(o) = -8*l(o) - 3*q(o). Suppose 175*f + 178*f + 1059 = 0. Calculate c(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/5)\/(696\/(-6728)) + (-14 - -2)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -499 + 506. Let s(o) = 15*o**2 - 3*o + 2. Let p be s(2). Calculate the highest common divisor of p and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 9:01 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xtntllclntcltcnnnlnt. What is prob of picking 1 t, 1 x, and 1 c?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -390*r - 7. Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 376.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -18992704*o**2. Let k(t) = -t**2. What is h(k(y))?\nAnswer: -18992704*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 264*i + 64 = -259*i, 0 = -o + i - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9486, -19270, -29054, -38838, -48622, -58406?\nAnswer: -68190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (4 - 13) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4647767336 to the power of 1\/3, to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -733 = -128*x - 2653 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-16) + (-3)\/2. Let t = 9 + p. Calculate the smallest common multiple of 22 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + 15*l**2 - 150*l + 992. What is h(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-16 + -1 + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 1)*(-9131*s + 438826 - 438826) to the form j + z*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**2\/3 + 3866*y - 240912 = 0. What is y?\nAnswer: 63, 5736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*s + 339, -5*s - 3*n + 6*n = -423. Suppose 3*q + q = s. Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n. Let r be t(-5). Let b be (-4)\/6 - r\/3. Suppose 0 = -f - h + b, -6*f + 3 = -f + 3*h. Solve 0 = -d - 5*w + 10, -d + f*w + 2*w - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, a: 5}. Give prob of sequence af.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46\/41 - 3491\/3075. Let v = -2351467\/22544975 - 2\/159141. Let u = x + v. What is the biggest value in -4, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 7*v - 206856 = 0. Is 5\/35 + v\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5148.37*-0.5.\nAnswer: -2574.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 8*t + 15. Let m(g) = -2*g + 37. Let p be m(14). Is 5 a factor of n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17813852 - 40984852. What is u rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 842651 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 23 - -170?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 >= -19374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 38895 * -1\nAnswer: -38895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.43356 litres to millilitres.\nAnswer: 28433.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.036 - 7.036. Which is the smallest value?  (a) y  (b) 1\/6  (c) 0.3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 9*y = -606. Let c be 197*(12\/(-3))\/(-8). Let w = c - y. Is -4 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-14)\/(1 + 6\/(-2)). Suppose -3*d = 5 + y. Let i = -1 - d. What is the smallest value in -1\/3, -0.08, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 316 + -314. What is the second derivative of -8*u**3 - 686*u**2 + u**5 + 686*u**j - 72*u wrt u?\nAnswer: 20*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 311666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of v**6\/360 + v**5\/30 + v**4\/12 + 13*v**3\/6 - 6*v**2. Let d(p) be the first derivative of i(p). Determine d(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -58 - 149. Let a = -60 - j. Round a to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 - 112088*z**2 - 786575812*z - 18813312096.\nAnswer: -4*(z + 24)*(z + 13999)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of o**6\/36 - 5*o**5\/24 + 5*o**4\/9 - 5*o**3\/9 - 17*o. Factor i(w).\nAnswer: 5*w*(w - 2)**2*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 2*d + 3*d. Suppose -d*b + 168 = 2*b. List the prime factors of (-8)\/b + (-2396)\/(-28).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t - 45 + 79 = 6*i - 7*t - 95, 7*t - 2*t = 15 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let m be (-10)\/15 + (-175)\/(-105). What is the nearest to -5\/6 in -0.5, -4\/15, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 5  (b) -59  (c) 5\/2  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 - 27. Let s(k) = -5*k - 7. List the prime factors of s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -798.42 - -798.6. Which is the fourth biggest value?  (a) r  (b) -0.2  (c) 5  (d) 4  (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (-3 + -2)*1. Suppose -y + 3 = j, -5*s - 5*y = 5. Suppose -2*b + 3 = -s. Solve -b - 2 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(5) + (sqrt(605))**2 + sqrt(245) + -5 + sqrt(245) + (sqrt(60)*1)\/((sqrt(12)\/sqrt(2))\/sqrt(2)).\nAnswer: 17*sqrt(5) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16843056\/209 - -80589. What is the common denominator of r and (6\/(-4))\/(186\/(-899)) - 4?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 366453\/4 + -91522. Let 5\/4*k - 85\/4*k**4 + 25*k**5 + 15\/2 - 525\/4*k**3 - s*k**2 = 0. Calculate k.\nAnswer: -1, -2\/5, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 + (1 - -17) - -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j**4 - 132*j**3 - 2*j**2 - 32 wrt j.\nAnswer: 48*j - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2642 - -93?\nAnswer: -256b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4643045 and 2460?\nAnswer: 55716540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (14410\/(-6) - 1)\/(580\/(-870))?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from aamcmcauaaaaa?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 3. Let d be y + -2 + 3 + 0. Let i = -1 - d. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -k**7\/840 + k**6\/120 + 3*k**5\/40 + k**4\/4 + 2*k**2. Let f(n) be the second derivative of x(n). Solve f(u) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.9787 + 1.118516. Let s = m - 0.14. What is s rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126 is divided by -8*(45\/20 + -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 7*n**2 - 4*n**2 + 0 + 1 - 6*n**2. What is s(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/690823 and 48\/98689?\nAnswer: 690823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -2402223?\nAnswer: -2402221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98108*y**3 + 98112*y**3 - 2*y**2 + 2*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ekk when three letters picked without replacement from kkrekkskzkkzz.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2016\/(-102))\/2 - (20 + -30).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*h = -47*h - 354. Let g = -47 + h. What is the highest common divisor of 15 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**5\/5 + 34*t**4\/5 - 276*t**3\/5 + 184*t**2 - 1376*t\/5 + 768\/5 = 0.\nAnswer: 2, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 4*r**2 + r + 4. Let n(q) = q**2 + 7*q - 34. Let v be n(-10). Let b be f(v). Solve -5*a = -4*h - 12, -5*h + b*h + 6 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + (-164)\/28 - 1. Let d be 8\/12 + 0 + -1. Let l be -2 + (1 - (-6)\/8). Which is the third biggest value?  (a) f  (b) l  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (7 - 2) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7688 - -7706. Let m = 6 + -3. Let i be ((-5)\/m)\/((-3)\/81). Calculate the greatest common divisor of g and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11569 and 287?\nAnswer: -3320303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -412 and -16.0566?\nAnswer: 6615.3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**9\/9072 - h**8\/1680 + h**7\/840 - h**6\/1080 - h**4\/4 + 3*h. Let f(t) be the third derivative of u(t). Factor f(i).\nAnswer: i*(i - 1)**2*(5*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 - (-5)\/(5\/(-3)). Suppose 6 = b + 5*c - 5, -2*b + c = 11. Put d, 2, b in increasing order.\nAnswer: d, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172653400193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, 657, 1836, 3497?\nAnswer: 5640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3389.6 * -3\nAnswer: -10168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 + 36 + (-3 - -2). Let b = -6 - -9. Suppose -4*d + 21 = -u, -4*u = b*d - 0*u + 8. Calculate the greatest common divisor of i and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 140\/84*226\/(-26555).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 816 and 1734.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*o = o. Let s(l) be the third derivative of 0*l**3 - 2*l**2 - 1\/60*l**6 + 0*l - 1\/30*l**5 + 0*l**4 + o. Find the third derivative of s(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - d = 10. Let s be 2 - 2\/(6\/(-3)). Suppose -a + s - 4 = 0. Put a, d, -2 in descending order.\nAnswer: a, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/11)\/f)\/f*f*f**(-6)\/f*(f**(3\/2)\/f)\/f**(2\/59) assuming f is positive.\nAnswer: f**(-10015\/1298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1558*z + 1 + 13583*z - 1.\nAnswer: 12025*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 368*q**2 + q. Let l(c) = -27*c**2 - 1. Calculate y(l(r)).\nAnswer: 268272*r**4 + 19845*r**2 + 367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 11:10 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 7*w**3\/3 - 7*w**2 - 2*w. Does 28 divide a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-24))\/((-1)\/2)*630\/1470.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + 19*p**2 + 0 in the form y*p**2 + k*p + r and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 >= 599\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2 + 1. Determine s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-24 + 3 - -6) + (-9 - -12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 11:30 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -158, -368, -626, -932, -1286, -1688, -2138?\n\"Answer: -24*n**2 - 138*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2*(2 + (1*sqrt(117))**2) + ((4 + ((sqrt(143) - 1*sqrt(143))\/sqrt(11) - sqrt(13)))*1)**2) + -4.\nAnswer: -1049 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*h - 3*o, -5*o - 11 - 4 = -2*h. Let f(k) = -4*k - 6. Let p(x) be the first derivative of -x**2\/2 - x + 37. Let u(g) = f(g) - 3*p(g). Give u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7454*a - 686. Is b(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (252\/(-70))\/((-3)\/10). Does 23 divide f\/32 + 1837\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + -1 + 4 + sqrt(425) + 0 + sqrt(425))*6.\nAnswer: 18 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/41?  (a) -3  (b) 0.1  (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + 4*h - 2. Let q be u(-2). Let c(n) = 2*n + 7. What is c(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (0 + 6 + -10 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 299*d**2 - 18*d + 14. Let b(s) = 99*s**2 - 7*s + 5. Let z(i) = -11*b(i) + 4*r(i). Let a be ((-4)\/(-10))\/((-2)\/10). Is z(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 5 = 0, 5*w - 11 = -85*d + 88*d + 44 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 0, -5, -14, -4\/47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + 5*u**2 - 4*u**2 - 14*u - 5*u**2 + 13*u + 2. Give y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -43*k + 2. Let q(b) = b**2 - b + 2. Let x(y) = 3*y**2 - 2*y + 4. Let l(d) = -2*q(d) + x(d). Calculate w(l(m)).\nAnswer: -43*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -2*q - 27. Calculate the remainder when 68 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 32. Suppose -3*r - 2*m = -5*r - 10, 0 = -m + 1. Let h be (1 - -7)*(-2)\/r. Solve 3*k + h = -n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c - 17. Let g be b(-7). Let a(k) = k + 1. Let n(h) = -6*h + h - 4 + 3*h. Determine g*a(f) - n(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 26*b - 73. Let t(f) = 22*f - 73. Give 7*t(q) - 6*y(q).\nAnswer: -2*q - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(2) + 3 + -2*sqrt(2)) + -4 + -1.\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1370 and 619292.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 187.4351 decades in millennia?\nAnswer: 1.874351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4910 - 4910 + 150*j**3)*(-j + 0*j - j + (2 - 3 - 1)*(2*j - 6*j + 3*j) + 2*j + 3 - 3).\nAnswer: 300*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42717 is divided by 240?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 6*g - 3*g. Let k(n) be the third derivative of 83*n**5\/60 - n**4\/24 + n**3\/6 + 264*n**2 + 2. Is k(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22357175 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1015960 by -25399.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**4 - 72*c**3 + 260*c**2 = 0. What is c?\nAnswer: 0, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-615)\/1224 + 112\/210 + (-2)\/10. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*y + 36 = -36*y. Let g(j) = 6*j + 15. Let w(h) = 3*h + 8. Let s(v) = y*w(v) + 5*g(v). Give s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 481, 589, 687, 763, 805, 801, 739, 607?\n\"Answer: -2*u**3 + 7*u**2 + 101*u + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 5*n + 15, -2*h - 3*n = -5*n + 18. Let q = h + 9. Suppose 7*d = 4*d - 4*t + 13, q*d - 19 = -t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, 1\/4, -5, 0.11934, -0.1?\nAnswer: 0.11934","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -5*m - 0*d + 38, -3*m + 22 = d. Suppose -m*t = -386 - 524. List the prime factors of t.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -15, 14, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-8) - 1362\/(-8). Suppose 0 = -2*w - 3*w - f. Is 10 a factor of ((-1)\/(-2) + -1)*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -239 = -4*j - 235. Let g be 3*(1 - (-1 - -1))*j. Solve g*u + u - 5*l - 11 = 0, 0 = -3*l + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 81 - 361. Let g be (-150)\/(-45)*324\/(-10). What is the remainder when i is divided by (1\/(-2))\/(3\/g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*(j\/j**(-1\/4))\/j)*j)\/j)**(-2\/133)\/(j**(-1\/3))**(-5) assuming j is positive.\nAnswer: j**(-1327\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9018 and 334.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 4 = -4*k. Suppose -j + k*j = 0. Suppose j = -2*a - a + 114. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3579011500 to the nearest 1000000.\nAnswer: 3579000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 558332 is divided by 204.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*d - 0. Let u(h) = 14*h**2 + 1. Let q be u(d). Let r = q - 7. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (33*u**2 - 38*u**2 + 35*u**2)*(3 - 3 + u) + 4*u**3 + 3*u**3 - 6*u**3 in the form i*u**3 + m*u**2 + w*u + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.13834 and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 35*x**2 - 4*x - 3461. Is r(-80) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-21))\/(2\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -11*g - 37. Determine s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**4 + 1 - 1)*(4 - 4 - 2*c) + (c**4 - 2*c**4 - 2*c**4)*(7 - 7 + 3*c).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.03 - 0.02. Let v = x + 0.04. What is v rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**2 + 117*d + 125. Let n be p(40). Solve -n*x - 17 = -y, -y - 5 = x - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 38049\/(-257040) + -2 + 20\/9. Let f = o + -15\/272. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 815218 is divided by 13364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**2\/7 - 11725310*w\/7 - 23450612\/7 = 0.\nAnswer: -5862653, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 6:46 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -135700 to the nearest one thousand.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 157103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -624052*j*n - 16*j + 4459 with respect to n.\nAnswer: -624052*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 12022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 61943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198*b - 600*b + 200*b + 192*b - 3 + 3.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 89268, 357308, 804042, 1429470, 2233592, 3216408?\nAnswer: 4377918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f = 23 + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 4  (c) 7  (d) -3  (e) 4465  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 12*c - 37. Is i(29) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -8\/253?\nAnswer: -8\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 14) to base 8.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 4 + 12. Let p = 64237 - 64235. Let n(q) = -q**2 + 3*q - 2. Let i be n(2). Which is the closest to p?  (a) r  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -281480*y**2 - 14*y + 6. Let g be j(9). Round g to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1243686283, 1243686284, 1243686285, 1243686286?\nAnswer: 1243686287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.679 rounded to zero dps?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u - 11*u + 80 = 0. Let z be (41\/(-1))\/(15\/(-60)). What is the highest common factor of u and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152 + 154 = -2*u. Suppose -86 = -5*f + 74. List the prime factors of u\/(-2)*(f + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5203703 tonnes in grams?\nAnswer: 520370.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -6. Let d be 3*i*(-1)\/3. Let k(z) = -5*z**3 - 2*z**2 + 6*z - 3. Let f(g) = -g**3 - g**2 + 2*g - 2. Let r(m) = -2*f(m) + k(m). Give r(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 - 783880*x - 18027124.\nAnswer: -4*(x + 23)*(x + 195947)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 73854*n**2 + 73839*n**2 + 2 - 221621*n**2 + 73876*n**2.\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -4*p. Let a(x) = -x**2 - 4*x + 1. Let z be a(-3). Suppose z*v + 8 = 20. Let m(u) = -v*u**2 + 13*u - 13*u. Determine m(b(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 11 = 31. Let l(p) = -p**3 - p**2 + 8*p + 4. Is 16 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -830, -46, 2036, 6064, 12686, 22550, 36304?\nAnswer: 54596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + -2 + 28\/7)*6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-7) + 388\/14. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*(-185400)\/9270.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*n - 0*l + l, 5 = n - l. Let t(o) = -o + 1 - 4*o + o + n*o. Let y(b) = -1. Let k(c) = -t(c) - y(c). What is k(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 3, -4, 68, 94 in ascending order.\nAnswer: -4, 3, 29, 68, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**2 - 6. Let x(g) = -11*g**2 + g + 18. Let b(j) = -8*p(j) - 3*x(j). Let v be -1 - -5 - (-30)\/15. Is 6 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - 111122220?\nAnswer: -111122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2302 and 148025506?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c - 28*c - 9*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 4 - 16, -5*m - 3*p - 1 = 0. Let l be 45 - 2\/(-1 - m). Suppose u - 42 = -4*c, 3*u + c = l + 39. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 583370.\nAnswer: 2, 5, 58337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 31459 + -5?\nAnswer: 31454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*w**3 + 123*w**2 + 255*w - 99.\nAnswer: 3*(w + 3)*(w + 11)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 67*u - 811 + 208 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -7c5903?\nAnswer: 7c5908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30938954*d**2 + 106572*d + 2 wrt d.\nAnswer: 61877908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 19.925. Let v = g - -3.925. Let i be (1\/2)\/(3\/(-2)). Which is the second biggest value?  (a) v  (b) 5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.12 - -2.12. Let s = -5 + 5.3. Let l = s + -0.5. Which is the nearest to l?  (a) y  (b) 4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4 + sqrt(363))*-5 + 3)*5)**2.\nAnswer: -63250*sqrt(3) + 240100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(-3*n + 2*n + 3*n)*((3 - 4 - 2)*(10 + 24 - 11) + 11 - 5 + 9).\nAnswer: -216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n + 19. Let d be p(-17). Let g be 0\/(1*1*-1). Let m(w) = -w**3 - w**2. Let j be m(-2). Solve -5*i - 5*y - 20 = g, i - j = d*i - y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/7)\/t*t**(2\/5)\/t)**(-3\/2)\/(t**(-2\/5)\/(t\/(t\/(t*t**(-2\/21)*t)))*(((t**(2\/11)*t)\/t*t)\/t)\/t*t*t**1) assuming t is positive.\nAnswer: t**(9623\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.09  (b) 1\/3  (c) 0.0119939  (d) -2  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 174, 732, 2108, 4710, 8946, 15224?\nAnswer: 23952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 20 = i. Find the third derivative of i*y**4 + 18 + y**2 - 18 wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.6 + 0.6. Let i = -37 - -39. What is the smallest value in i, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 176169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 477 - 464. Suppose 993 + 86 = x*n. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20561234.\nAnswer: 2, 137, 75041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 + 2)\/((-1)\/6). Let h be (1 - -2)*(3 - 4). Let r be -3 + 6 + (-2 - h). Is r > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 145\/6 + -24. Let u be (5\/(-15))\/((-8)\/12). Which is the closest to -2\/9?  (a) 2  (b) t  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 37 - 1)*(-82*n**3 + 2 + 67*n**3 + 46*n**3).\nAnswer: 992*n**3 + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -543602 by -82.\nAnswer: 271801\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from pppbbkkbbpk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011001110 (base 2) to base 7.\nAnswer: 5036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-5\/6)*f)\/(f*f\/f**9))\/(f\/(f\/(f\/(f*f\/f**(2\/45))*f))*f**(-1\/15)) assuming f is positive.\nAnswer: f**(737\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2839589642 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -1481*y**4 + 744*y**4 - 3*y**3 + 736*y**4 - 4*y**2 - 2 in the form r*y**2 + d*y**4 + c*y**3 + x*y + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 2*j. Suppose 0 = -2*k - 3*k. Let y be m(k). Suppose 3*r - 11 = -0*r - 2*o, y = 2*o - 2. Calculate the remainder when 9 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rq when two letters picked without replacement from grhqhrrrrghrrgrrgrr?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1058.7 + -1059. Which is the closest to t?  (a) 0.09  (b) 0.2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 16 = -w - 1, 0 = 5*f - 4*w - 40. Suppose 4*z + 36 + 41 = 3*t, -16 = -f*z. What is the remainder when t is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2468513 * -0.3.\nAnswer: -740553.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23141161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2954*c - 12 + 10.\nAnswer: 2954*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 620250349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-39))\/(a*a*a\/(a**8*a)) assuming a is positive.\nAnswer: a**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 404 - 2753 = 3*u. Let x = u - -1316. Suppose 4*o - 5*i = x, -o - 2*o = -2*i - 391. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147167*z**3 + 54184*z**3 - 44616*z**3.\nAnswer: -137599*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 35*q**3 - 289*q**2 - 32*q + 289. Let s(z) = -z**4 - z**3 + z**2 - 2*z. Let v(j) = -5*s(j) - 5*w(j). Determine r, given that v(r) = 0.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 471371.5 millilitres in litres?\nAnswer: 471.3715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -434*s = 71*s. Let q be -8 + 6 - (-18)\/8. Suppose 2*v - 3*p = 3, 24 = -5*v - 3*p - 0*p. Which is the nearest to s?  (a) v  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*a + 68*a + 53*a.\nAnswer: 59*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + 1*(-8)\/2. Let w = 2.997 + 0.003. Let g = -0.2 + 1.2. Which is the closest to g?  (a) p  (b) 0.2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + 0 - -8*(-5)\/10. Let n(u) be the second derivative of 0*u**3 + t*u**4 + 2*u**2 + 3*u + 0*u**5 + 0 + 1\/15*u**6. What is the derivative of n(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 81026.98mg?\nAnswer: 81026980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(4\/7)\/o*o*o**13\/o assuming o is positive.\nAnswer: o**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27705834 by 34938.\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.757 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 10 - 80 = 14*g, -4*v + v + 9 = 27*g - 24*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 456.99771 + -457. What is x rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26570 * -2.6.\nAnswer: -69082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -4\/3*l**3 - 277 + 2*l**2 - l + 1\/4*l**4. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-28)\/(-8))\/((-7)\/(-4)). Suppose -1\/5 - 1\/5*u**3 - 3\/5*u**o - 3\/5*u = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r - 18. Let k(q) = 1. Let y = -14951 + 14956. Give y*k(j) - g(j).\nAnswer: -2*j + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*x - 62*x + 18*x + 20*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from mttttmtxm.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -259 in -73, 1\/4, 4?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 divided by -24.\nAnswer: -23\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 6705052.\nAnswer: 6705037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*18*304\/38*(-1)\/8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/28 + (-163)\/7. Let g = 32 + y. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2. Let x(d) = -103*d + 39*d + 50*d + 56*d. What is j(x(t))?\nAnswer: 1764*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i - 3*i - 8*i + 4*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10\/6 + (-13 - -69*16\/108)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3 = 5. Suppose -4*d = 5*v - 12, l + 4 = -v + 2*d. Suppose 0 = s + 3*h - 32, -64 = -2*s - 4*h - v*h. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 11:36 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 0.3, 5\/34, -1\/4, -4 in increasing order.\nAnswer: -4, -1\/4, 5\/34, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 229216129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 461.3182cm in meters?\nAnswer: 4.613182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 300031 and 268048?\nAnswer: 52805456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005580512 rounded to 7 decimal places?\nAnswer: 0.0005581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1099 + 480. Suppose -12*o + u = -2057. Calculate the remainder when o is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23.62 - 24. Let t = -0.08 - x. Let z = -0.3 + t. What is the smallest value in z, 4, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 10*k**6 - 6*k**5 - k**2 + 6*k - 6. Let o(b) = -b**6 + b**5 - b + 1. Let a(y) = -n(y) - 6*o(y). Find the third derivative of a(i) wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.100327 to 3 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 25.4. Let c = b + 3.6. Put 2, c, 4\/5 in decreasing order.\nAnswer: 2, 4\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1293*d + 1661*d - 4250*d + 1299*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3\/9353 + -720226\/140295. Find the common denominator of f and 109\/(-24) + 1\/8*6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*l - 12*l + 27*l + l**2 - 6 as j*l**2 + d*l + s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 160007929.2ms in weeks?\nAnswer: 0.264563375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.6 - 4. Let d = 78453 + -78403. What is the nearest to 0 in x, 1, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(22)\/sqrt(2) + 3)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -2 + -1 + (14 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 2*i - 6. Suppose -i*w = -h + 6, 4*h - 6*w = -2*w + 32. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - y - 316, 4*v + 3*y = 546 + 746. Solve 321 = -t + v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, 5, 8, -2 in ascending order.\nAnswer: -2, 0.9, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 185000.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -1. Let v be 17\/3 + 16\/12. Suppose -v*s + u*s = 170. Round s to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*n - 3 = 0. Let u be -19*n\/18 + 3. What is the third biggest value in 3, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 10\/503 and -61\/5129091?\nAnswer: 5129091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 21\/8, -4\/3, 0.5?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -1)*1*(-1)\/(10\/(-25))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -214.9 rounded to the nearest integer?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(121)*2)\/(sqrt(88)\/sqrt(288) + sqrt(11) + sqrt(11)).\nAnswer: 12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -2 - (0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 14 = -5*x, 5*x + 5*f - 3 = 27 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 64848 divided by 4\nAnswer: 16212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, 4, -41, -19\/3, 0.8 in descending order.\nAnswer: 25, 4, 0.8, -19\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u - 30 - 34 + 64 + 31*u.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/186 and 49\/18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 - -3) + -1 + 5. Suppose 24 = o*m - 33. What is the remainder when 37 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12204*v + 201*v**2 + 4070*v + 4071*v + 4063*v.\nAnswer: 201*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 125944 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 71 - 99. What is the least common multiple of 13 and c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 67321 and 191613.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of g**6\/360 - g**5\/15 + 5*g**4\/24 - 5*g**3\/6 + g**2. Let h(j) be the first derivative of k(j). What is h(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o. Let g(u) = -4*u - 1. Let p be g(-2). Let i be 4\/p*63\/18. Let y(l) = 1 + 2*l - i + 1. Calculate y(x(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3688 is divided by 726?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 + 13 - 4*1 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/120200268 and 97\/33864.\nAnswer: 240400536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50*t**6 + 254*t + 7*t**6 + 250*t + 576*t**2 - 504*t wrt t.\nAnswer: 6840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 0*s**3 + 5*s + 0 + 0*s**2 - 1\/3*s**4. Let z(h) = 5*h. Give o(z(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-27)\/2)\/(2\/(-12)). Let h be (1 + -1)\/(10 + -11). Suppose -j - 123 = -4*i, h = -3*i - 0*i - 3*j + q. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7811, 474, 4, -3 in decreasing order.\nAnswer: 474, 4, -1\/7811, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of m**6\/30 - m**3\/3 - m + 1. Let g(r) be the first derivative of c(r). What is the second derivative of g(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3\/4 + 1089*u**2\/4 + 822*u + 549.\nAnswer: -3*(u - 366)*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-5*(-3 + sqrt(243) + 0 + sqrt(243)) + ((sqrt(6)\/sqrt(2) + 0 - -5*sqrt(3)*1) + 1)*6)**2.\nAnswer: -2268*sqrt(3) + 9189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 0, 14, -7 in decreasing order.\nAnswer: 14, 0, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 24 = 4*m, 3*h - 2*m - 2*m - 21 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 16*c**3 + 5*c**2 - 21*c + 34. What is f(3)?\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1097668 is divided by 36585?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.04 or 1218?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.11 - -1.01. Let l = -0.1 - z. Let h = l + -4. Which is the biggest value?  (a) 0  (b) h  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1977199187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -250088 (base 9) to base 15.\nAnswer: -2eb08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1484232 divided by 6.\nAnswer: 247372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 140 = -2*v, 9*c - 80 = 7*c + 2*v. Suppose 4*k + 4*f - 320 = 0, 2*f - 123 = -k - c. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/8 and 39\/3758.\nAnswer: 15032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1024322 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1454413798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vcvvvvcvvvvvvvvcvv. What is prob of sequence vvvc?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = q - 25, q + q - 50 = s. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/2*(0 + (-4)\/6). Let t(x) = -x - a*x + 4*x. Let g(s) = -8*s**2. Give g(t(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 3.6. Let v = 84.6 + a. Let d = 84.9929 - v. What is d rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 + 0 + 13 + -37?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 4*k**2 + 8*k + 1 + 0*k**3 + 6. Suppose -5*z - 58 = -3*z. Let x = z + 24. Give d(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 13. Let w(r) = -r + 39. Let g(f) = -7*v(f) + 2*w(f). What is g(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of 13*f**5\/20 - f**4\/6 - 3*f**3\/2 + 3*f**2 - 17*f. Let v(l) = -19*l**2 + 2*l + 4. Give 4*k(a) + 9*v(a).\nAnswer: -15*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) 1\/10  (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3737+641\nAnswer: -3096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 432\/(-18)*8*5\/(-360).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -40, -40, -38, -34?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - m**2 - 5*m + 7. Calculate the least common multiple of 16 and p(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -38*i**2 - 2. Let a(d) = -183*d**2. Determine f(a(t)).\nAnswer: -1272582*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x\/(((((x*x**(-1))\/x)\/x)\/x)\/x))**(-3\/7))**44)**(1\/44) assuming x is positive.\nAnswer: x**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.7 + -0.3. Let m = -55.3 + 55.2. What is the closest to m in -5, -0.02, i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1765530 and 9490?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -167762 plus 120997698?\nAnswer: 120829936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -2. Let r be 2*(-2)\/(-12)*(-30)\/20. Which is the nearest to -3?  (a) i  (b) r  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 13 + 38 - 27*i - 15*i**2 + 26*i. Let t be s(-15). What are the prime factors of (t*1)\/((-2)\/(-8))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 3*n - 2*n)*(7 - 3 + 12)*(-21*n**3 - 21*n**3 + 59*n**3).\nAnswer: -272*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 70 = -80, 2*v - 8357 = -3*y. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25460*v - 138*v**3 - 25460*v)*(-47*v + 22*v - 21*v) + ((-1 + 1 + 2*v**2)*(-3 + 3 - 2*v**2) + 2*v**4 - 3*v**4 + 2*v**4)*(2 + 0 - 4).\nAnswer: 6354*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2 greater than or equal to 13590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i**2 + 8*i + 7. Let n be y(-7). What is the common denominator of -1\/3 and (4 - 82\/20)\/(4\/n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1472038 less than -0.1?\nAnswer: -1472038.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of 0 + 3*j**2 - 1\/8*j**4 + 0*j**3 + 0*j. Let f(g) = 2 - g - 2. What is f(z(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*v**6 + 23*v**5 + 12*v**2 wrt v?\nAnswer: 960*v**3 + 1380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 335*w = 328*w - 21. Put 0, w, -6 in decreasing order.\nAnswer: 0, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1309961?\nAnswer: 1309961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o + 15. Let j be 6\/18 - 58\/(-6). Give d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/13?  (a) 69  (b) 173\/6  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35)\/(-42)*6*(-156)\/(-130)*427\/(-21)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -9442846 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278*m = -275*m - 5*k - 32, 2*m + 3*k + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -220\/63 + 26\/7. Let h be 2\/4 - (-2)\/(-12). Which is the closest to 0.1?  (a) l  (b) h  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 586 + 5?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, -184110 in descending order.\nAnswer: 0, -4, -184110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27890.\nAnswer: 2, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oqqqaqoqqaoooqq. What is prob of picking 1 o and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h + 4*h = -70, 2*u - 4*h + 0*h + 234 = 12*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2379\/16 equal to -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 4*y**2 + 4*y + 1. Let o(z) be the second derivative of z**4\/3 + 5*z**3\/6 + z**2\/2 - 667*z. Give -4*g(i) + 3*o(i).\nAnswer: -4*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -10, -0.04, -1 in descending order.\nAnswer: 4, -0.04, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -42  (b) -1\/1069  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/39 - 115\/(-13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85727077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 9:45 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**3\/x)\/(x\/x**8*x))\/(x**(3\/5)\/((x*(x\/x**7)\/x)\/x)))\/((x\/(x*x**0)*x*x*x*x)**47\/(x\/(x\/x**(-9))*x\/(x**(4\/5)*x)*x)) assuming x is positive.\nAnswer: x**(-982\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*b - 2*c + 134 = 0, -b - 3*c + 933563 = 933552 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -2 + 5\/9*m**2 - 4\/9*m - 1\/6*m**4 + 8\/27*m**3. Let l(p) = 0. What is p?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = 6*t - 150. Solve c - t - 5 = -5*p, -5*c - 30 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4086 = -64*i + 73*i. Let a be (6\/(-4))\/((-5)\/(-2380)). Let o = i - a. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52632*a**3 + 52635*a**2 - 3*a.\nAnswer: -3*a*(a - 1)*(17544*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 - 20*n**2 - 130*n + 132. What is i(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 3:05 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 203588.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3050*n*u**3*y - n*u*y**3 + 140*n*y**4 + 68*u**3*y**3 - u**3 + 2*u**2*y**2 wrt y.\nAnswer: -6*n*u + 3360*n*y + 408*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -5*h + a - 165, 5*h - a + 155 = 0. Let b be 20*4*(-4)\/h. Solve 3*y = -9, b + 9 = 2*c - 3*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 346403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -159 - -158.5435. Round z to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 + -21. Find the third derivative of 51 + 5*t**2 - 2*t**3 - 51 + k*t**3 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 h, and 1 d when three letters picked without replacement from fhdqdhhhhqh?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 127638 and 2100?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 165*k - 472*k - 2456 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 34*l**2 + 17*l + 10. Let n(f) = -33*f**2 - 18*f - 12. Determine 6*g(d) + 5*n(d).\nAnswer: 39*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 16 = 2*u + 2*b, -4*u + 10 = -3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.4 - -0.6. Let c = 1.3 + i. What is the closest to 0.1 in -1, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0.9822  (c) 1\/3  (d) 25  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 10*n - 888. What is o(94)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/8 < -4855\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (768\/80)\/24*(-480)\/(-88).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {f: 1, c: 2, j: 1, k: 1, m: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3*u**3 - 3 + (-4*u**2 + u**2 + u**2)*(-2*u + 5*u - 5*u) + 2*u**3 + 0 + 0 - 3*u**3 + 2*u**2 - 2*u**2)*(-10*u - 1 - 2*u + 0).\nAnswer: -72*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 748 and 544.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(7)*-2)*4*-3 - (sqrt(63) + -1 - (sqrt(28)*6 - sqrt(7)))**2.\nAnswer: -449 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*s - 154 = -79*s. Sort 3, 5, s, -2 in descending order.\nAnswer: 5, 3, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of -13*v**6\/120 + 8*v**3\/3 + 9*v**2. Find the first derivative of h(t) wrt t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 915638003 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 165 divided by -3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-2))\/(3\/60*-6). Solve t*p - 8 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 7 = -1. Suppose 0 = q + 4*b + 4799988, -x*b + 14400009 = -3*q - 0*q. What is q rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 919.1315 micrograms?\nAnswer: 0.0000009191315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -9003\/111215?\nAnswer: -9003\/111215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -470654 less than 0.05?\nAnswer: 470654.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2651553719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4622, 2345, 3, 1\/3 in increasing order.\nAnswer: -4622, 1\/3, 3, 2345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/2*(-21)\/(-8820)*-24?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10444 + 4?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80)\/(-100)*1*(-2)\/(-8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 1025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -227*g + 9537. Let y be c(42). Suppose 5 - 20 = -5*s + f, 0 = 5*s + 3*f - 35. Let j = 2 + -2. Sort 10, s, j, y in ascending order.\nAnswer: j, y, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 6 - 12)*(x**2 - x**5 - x**2) - 4*x + 4*x - 2*x**5 + (3 + 0 + 0)*(-2*x**5 + 5*x**5 - 2*x**5) + 0*x**2 + 0*x**2 + 2*x**5.\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 7 + (-1 - 4 + 4)*(4 + 0 - 5) - 5 + 1 - 1)*(-32*v**4 + 2*v**4 - 41*v**4) to the form f*v**3 + j*v + z*v**4 + x*v**2 + d and give z.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = x - 1, 18 = -2*x - a + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1010020 (base 5) to base 13\nAnswer: 752a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1b - -24179?\nAnswer: 24194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 6:46 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 98, 2\/7, -1, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 337938 is divided by 168406?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160 = -5*s + 3*t - 150, -4*s - t = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 305730 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 582.8706km?\nAnswer: 582870.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m**2 + 35*m + 50. Let s be g(-16). Determine h so that -2\/9 - 2\/9*h**4 + 0*h + 4\/9*h**s + 0*h**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 12*l**5 + 0 + 31*l**4 + 4\/3*l + 85\/3*l**3 + 32\/3*l**2 = 0.\nAnswer: -1, -2\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 2*u + 2. Let r = 28 + -22. Suppose -r = 2*i - 4*i. Let k(g) = 13 - 7 + g**3 + i*g - 9. Calculate -4*k(c) - 6*p(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 317671703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 53 + -43. What is the remainder when 3*(1 - 80\/(-12)) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53735 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-306)\/(-85))\/((-6)\/(-2 - 28)). Solve 11 + 7 = c*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrcrcrrrrrcr. Give prob of sequence ccc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6878*l**3 - 2338 wrt l.\nAnswer: 20634*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(2 + (-20)\/8). Let r(l) be the third derivative of -l**5\/60 + l**4\/24 - l**3\/3 + 2*l**2. Calculate r(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(6)\/sqrt(3))**2 + sqrt(8) + 4.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113033 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22341*c + 23431*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1043 (base 5) to base 10\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -12379*x**3 - 8*x - 8. Let f(d) = -12377*d**3 - 6*d - 6. Calculate -4*f(h) + 3*w(h).\nAnswer: 12371*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-168)\/(-154) - (-6)\/(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 divided by -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 74\/3. Which is the second biggest value?  (a) -0.4  (b) m  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 11:05 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-4*(-1*sqrt(243))**2 - (4 + sqrt(243) + 2 + 1)**2.\nAnswer: -126*sqrt(3) + 1652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2292, 6413, 13190, 22617, 34688, 49397, 66738, 86705?\nAnswer: 109292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 893*r. Let k(l) = 74*l. Let g(a) = 47*k(a) - 4*n(a). Let d(x) = -3*x**2. Determine d(g(v)).\nAnswer: -26508*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24645391?\nAnswer: 2153, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*(s*s**(-18)*s)\/s*s*s**(-6) assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t**2 - 492*t + 4*t**2 - 6*t**2 - 2*t**3 + 7*t**2 - 4*t**2 to the form r + x*t + k*t**2 + q*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 14, i: 1}. Give prob of sequence sssi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 1 + 0 = 0. Let j = q + 2. Suppose j*y + y - 5*d - 44 = 0, y - 11 = -3*d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 1 = -l, 5*w + 5*l + 0*l = -15. Suppose -3*u + 2605 = w*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 7*c**2 + 3*c. Let d(m) = -51*m - 4. Let q be d(1). Let l be 18\/22 - ((-265)\/q + -5). Let x(j) = 3*j + 1 - 2*j - l. Determine g(x(f)).\nAnswer: 7*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1*((2*sqrt(240) - sqrt(240))\/sqrt(5) - sqrt(36)\/(sqrt(48) - sqrt(1728) - sqrt(48))).\nAnswer: -49*sqrt(3)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(-3*m**2 + 0*m**2 + 4*m**2) + 0*m - 306*m**2 + 324*m**2 - 4 + 2*m - 17.\nAnswer: 16*m**2 + 2*m - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfff when four letters picked without replacement from fffppfffff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7219 is divided by 5161.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 3678.\nAnswer: -1\/3678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 5*g + 8, -2*g + 4 = 4*u + 3*g. Let m = 248 - 289.2. Let r = -41 - m. What is the second smallest value in -2, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9551582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*w**5 + w**4 - 37335734*w**2 - 989699857*w.\nAnswer: -40*w**3 + 12*w**2 - 74671468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6707128663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 6. Let o(a) = -6*a**2 + 3*a - 1. Let b(h) = -7*h**2 + 3*h - 2. Let g(u) = -5*b(u) + 6*o(u). Calculate the lowest common multiple of 16 and g(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*p = -0*z - 24, -5*z = -2*p - 12. Suppose 5 = 3*i - 0*i - u, z*i + 5*u + 25 = 0. Solve 3*x + 0*x + 26 = 5*l, -5*x + 4*l - 26 = i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573215 less than 573212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-11)\/(-1*(-11)\/(-11)) + 40770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**8\/168 - 4*n**7\/105 + n**6\/12 - n**5\/15 - 2*n**2. Factor d(a).\nAnswer: 2*a**2*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 114f (base 16) to base 14.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = -26*a + 51. Solve -2*y = -3*u - 4, -y + 8 = -5*u + a*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 - -54. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -5*s + 9*x + 10, 0 = 5*s - x - 18. Which is smaller: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48134975 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (385*m**3 - 337*m**3 + 618*m**3)*(-53*m - 281 + 281) to the form a*m**3 + r + y*m**4 + j*m**2 + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2868 (base 10) to base 2\nAnswer: -101100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00435037575 to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*l = -14, -3*k - 4*l + 3*l + 10 = 0. Solve -3*y - 21 = k*x - 7*x, 10 = -5*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -604, 2, 4, 0 in ascending order.\nAnswer: -604, -3, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/2)\/((-30)\/(-12)). Let j = -2 + 4. Let t = 0 + j. What is the nearest to -0.1 in t, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -6, -15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42212 and 1220?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c**2 - c + 2. Let q be z(3). Let v = -24 - q. What is b in b + 1 - 3*b - 3*b**2 + v*b**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g + 31. Let z be i(16). Let l be ((-18)\/(-9))\/(5*z). Which is the second smallest value?  (a) -2\/13  (b) 2  (c) l  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -221.941 + 200.71. Round z to one decimal place.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2899213\/924 - -21963\/7. What is the common denominator of 2\/27 and b?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 403742027 to the nearest integer?\nAnswer: 20093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 33.5 and 516?\nAnswer: 482.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -438*p**3 + p**2 - 1. Let l be j(-1). Let w = -247 + l. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -27, 4\/3, -0.1, -8303?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -175*n - 75. Let m(c) = -9*c - 4. Let f(z) = 4*a(z) - 75*m(z). Calculate f(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i + 8. Let x be n(4). Let t(r) = r**3 - 5*r**2 + 4*r - 1. What is t(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24665762 is divided by 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4176, -4186, -4218, -4284, -4396, -4566, -4806, -5128?\nAnswer: -5544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3833.166 kilograms to grams.\nAnswer: 3833166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (6 - 5) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3 or 2\/11256695?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 569\/9 - 63. Let s be 260\/45 - 4\/(-18). Suppose 2*q + 9 = 5*k - 9, -q = -k + s. What is the second smallest value in n, q, 0.3, -24\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 23*q - 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -10*w - 46. Suppose -58*k = -55*k + 81. Is 8 a factor of z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -207, -593, -1243, -2157, -3335, -4777, -6483?\nAnswer: -8453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 17, r: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -534 + 577 - (2 - -23)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6001934*k**4*w**3 + 4892*w**3 - 80*w**2 wrt k?\nAnswer: 24007736*k**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 83.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1314 and -450.807.\nAnswer: 592360.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*v**6 + 13*v**5 - 3278*v**3 - 1304257*v**2.\nAnswer: -480*v**3 + 780*v**2 - 19668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8c (base 13) to base 16.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 + -0.2. Let b = -18\/697 + -506629\/3485. Let c = b - -145. Sort -0.1, c, k.\nAnswer: k, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c + 12*c + 21*c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d**5\/4 + d**4\/4 - 707*d**3\/4 - 2813*d**2\/4 - 1753*d\/2 - 350 = 0. What is d?\nAnswer: -25, -2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3659*a - 3683*a + 1672 = -7380*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 41074841 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -399 - -409. Let i = 9.89 + 0.11. Let j = w - i. Which is the nearest to j?  (a) 0.4  (b) 2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -133 + 0?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from auxu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37943?\nAnswer: 19, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 3 in decreasing order.\nAnswer: 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 9:52 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15786 - 12.57574.\nAnswer: 15773.42426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + s + 6 = 0, -3*i + s = 9 + 5. Which is the nearest to -1?  (a) i  (b) 0.2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*h**3*p**3 - 2*h**3*p**2 + 15*h**3*p + 4*h**2*p**3 - 28*h**2*p + 2*h*p wrt h.\nAnswer: 42*p**3 - 12*p**2 + 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001681 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ks when two letters picked without replacement from ninkkisnsdsqnsk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005308533 to 6 decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4 - 444*s**4 + 4259*s - 4308*s - 234*s**4 wrt s.\nAnswer: -8136*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -228 - -236. Let m be 2\/f - (31\/(-4) - -7). Solve 4*y + m = q, y - 4*q = -0*q + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -0.4  (b) 2.13  (c) 1\/4  (d) -13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 15*j + 9. Let z be x(-15). Let t be -3 - (-1 + 6\/2 - z). Let 3672*f**3 - 1701*f**t - 116*f + 48 - 294*f + 122*f - 408*f**2 = 0. What is f?\nAnswer: -2\/7, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(11) + sqrt(11) + sqrt(11)*-4) + sqrt(125)*4.\nAnswer: 39*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96307132 and 3356?\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0015694 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 20140 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v. Let h(q) = -38*q**2 + 2*q - 2. What is 3*b(t) - h(t)?\nAnswer: 38*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 587642 is divided by 8276.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - s**2 + 2*s. Let v(l) = l**2 + 2*l - 2. Let f be v(0). Give b(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 32, 5, -28, 2, 6 in ascending order.\nAnswer: -28, 1, 2, 5, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2767.8938 rounded to the nearest integer?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3357604, -3357605, -3357606, -3357607, -3357608?\nAnswer: -3357609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/27 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1269 - 1311 - 15523*x + 2580.\nAnswer: -15523*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + 5 + (5 + 0 + sqrt(275) + (sqrt(396) + sqrt(11))*-3)*-3.\nAnswer: -8 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**2. Let s(j) = 7*j**2 - 5*j. Let o(d) = -d. Let v(k) = 5*o(k) - s(k). Calculate v(m(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1470746165970\/27293 + 53887303. Let u = 15\/557 + t. Let n = -206\/539 + u. Which is the third biggest value?  (a) n  (b) 2\/15  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - r + 2*r)*(2 + 3 - 3) - 2*r - 8*r - r - 4*r + r + 5*r + 6 + 8*r + 9*r - 18*r.\nAnswer: -12*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/6*4\/(-21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, k: 7}. Give prob of sequence xk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -152598.7 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -8. Suppose -2*z + 9 = -f + 40, 0 = -f + 3*z + 36. Let x = f + -16. Solve 2*m - n = x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13.91301 + -0.08699. Sort 31\/4, -0.2, w, -1\/4, 4.\nAnswer: w, -1\/4, -0.2, 4, 31\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (3 - (-8 + 2 + 1)) + -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 15410000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 52*d**2 - d + 1. Suppose -4*x = 5*o + 22, 0*x + 2*x = 5*o + 4. Is p(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229*r + 1206 = 551*r + 80*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 - 14 = 22*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*n - 2*a + 74, -18 = -2*n + 2*a - 2 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -g - 5, 2*g + 20 - 30 = -0*g + 7*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3 + 26*o - 8 - 2. Calculate the common denominator of (79\/10 - -1) + 0 and b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -19*q - q**2 - 10*q - 17 + 18*q. Let y be f(-7). Suppose y = -t + 53. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 320\/(-852000)*-497*-15?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 3*r**2 - 2*r - 3. Let n be v(-3). Suppose -3*q = -6*q + 15. Suppose -n = g - q. Solve g*m = -2*u - 18, 4*m + 41 = -4*u - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(-14)\/(-30)*-4*1425\/1710?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2530 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2525*g + 9. What is the ten thousands digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46.109 - 0.109. Let n = -52.6 + y. What is n rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7534892 nanograms to micrograms.\nAnswer: 0.0007534892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 28. Let s = u - -28. Suppose o - 2*y + 2 = s, y = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 8:34 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -8 - (3 + 0)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33, -17, -55, -75, -71, -37, 33?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand s + s + 6 + 0*s + s + 18 - 18 + (-1 + 5 - 2)*(0*s + 5*s - 4*s) + 2*s - 2*s + 2*s + (2 - 2 - 1)*(3*s + 8*s + s).\nAnswer: -5*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b - 2. Let s be y(-2). Sort -2\/5, 1\/2, s in increasing order.\nAnswer: -2\/5, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1810985 is divided by 1319.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -34b - -240?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 2, 3 in descending order.\nAnswer: 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -207*q + 6. Let s(y) = -230*y + 5. Calculate 7*s(l) - 6*x(l).\nAnswer: -368*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**14*n**(-37)*(n\/n**1)\/(n*n**(-2\/7)))**28 assuming n is positive.\nAnswer: n**(-1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 525 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 5 + sqrt(468)*-4 + sqrt(468) + 0)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/2 and -18\/34819.\nAnswer: 69638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/37355 and -77\/1565295.\nAnswer: 48524145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -5*n**4\/4 + 17*n**2 + n. Let g(s) = 5*s. What is g(c(b))?\nAnswer: -150*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/24)\/(9\/108*-9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33*j**3 + 1116*j**2 + 9333*j - 1734.\nAnswer: 3*(j + 17)**2*(11*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 4*a + 18. Let d be (5\/(-3))\/((-2)\/a). Let j = d - -65. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*l + 232 = -46*l. Suppose -98 = -23*w - l. Solve -1 = -w*b + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/2))**(-33)*a**(-6\/7)*a*a**(-1)*a assuming a is positive.\nAnswer: a**(-229\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 6:22 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 7*q - 6. What is the third derivative of q*t**3 + 46*t**2 + 39*t**2 - 13*t**3 - 70*t**2 wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -4) + -6 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 11530 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 692 + 3608 = 0. Suppose -5*d + 789 = 4*x - 61, -2*x = 5*d - j. Let p = 143 + d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129397399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2926388 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from mqyqmbqqmbyyqqybbq.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 8*u**3\/5 - 62274*u**2\/5 - 34264*u + 46722\/5 = 0.\nAnswer: -3, 1\/4, 7787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Is 955169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.38 and 322534371.\nAnswer: 322534369.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8*o + 102. Let z be m(-12). Suppose z*g = 47 + 97. Solve -4*v = s + 2*s + g, v + 19 = -4*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3876 - -3881. Let n(l) be the third derivative of -1\/60*l**p + 0*l**4 + 1\/6*l**3 + 0 + 0*l + 3*l**2. Factor n(b).\nAnswer: -(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 64*x = 62*x + 26, 3*m - 9 = x. Let i(n) = 16*n**2 - 1. Let w be i(1). Let o = w - 7. What is the highest common factor of o and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q**(-2\/13)\/q)\/q)**(15\/4))**(-8\/3))**(4\/3))**(-6) assuming q is positive.\nAnswer: q**(-2240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from qeeeeeqeeeeqeee.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, g: 4, o: 1, f: 3, h: 1, d: 7}. What is prob of picking 1 r, 1 h, and 2 f?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 15*z - 1 - 2 to the form k*z + h and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48100 is divided by 6104?\nAnswer: 5372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + (-45)\/(-12))\/((-2)\/(-22312)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-138)\/4)\/23)\/((-9)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 7:26 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-76 - -55) + (4 + -2)\/1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1144*d + 8895 + 2208 = -3769 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p. Let u(s) = -7*s**2 + 2. Let q(j) = -3*j**2 + 1. Let o(z) = -15*q(z) + 6*u(z). Let y(m) be the first derivative of o(m). What is a(y(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l - 4 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2998 + 3120. Solve g - 260 = -23*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 101, 1\/3, -14, 2\/13, 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = t + 18, j - 3*t = -2*j + 9. Suppose -j*x + 12 = 12. Suppose x*q + 2*b - 5580002 = -2*q, -q - 3*b = -2790003. Round q to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3209  (b) -1\/20  (c) 3  (d) -62  (e) -0.2  (f) -5  (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 11:39 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -44 + -9. Let j = n - -39. Sort 2, 0.1, j, -0.2 in descending order.\nAnswer: 2, 0.1, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14448001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d (base 14) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 - 109\/3. Let t = -1 + 1.5. Let b = 0.4 + -0.3. What is the second biggest value in t, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + 2*r**2 - 2*r**2 + (4*r - 3*r + 0*r)*(0*r + r + 0*r) - 2*r**2 - 6 + 3 + 6)*(5*r - 5*r + 2*r) + 6*r**3 - 7*r**3 + 13*r**3.\nAnswer: 14*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k**2 - 5*k**2 + 5*k**2)*(-10 + 10 - k) + (-56 - 193*k**2 + 56)*(0 + 0 - 3*k) to the form n*k**2 + q*k + j + z*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 + v**2 - 2*v**2)*(-2*v - v + 2*v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 230384 divided by 272\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 48.46116 meters?\nAnswer: 48461160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -158, -170, -184, -200, -218, -238, -260?\n\"Answer: -n**2 - 9*n - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 888155 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -19869 + 19872 - 7*v + 5*v. Let c(q) = -q + 5. Let j be c(5). Calculate a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 1020, 2, -5 in decreasing order.\nAnswer: 1020, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -7007*x**4 - 5614*x**2 + 4*x - 28. Let c(t) = 7008*t**4 + 5614*t**2 - 3*t + 21. Let f(k) = 4*c(k) + 3*q(k). Find the third derivative of f(h) wrt h.\nAnswer: 168264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**2\/5 - 9712*u\/5 - 1942 = 0. Calculate u.\nAnswer: -4855, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 2*u + l + 24, 132*l - 431*l + 502 - 821 = 1943 + 728 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1766944 divided by -2?\nAnswer: -883472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3*(12\/(-21) + 514\/42) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x + 30. Determine r(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/4215458 and 11\/22776?\nAnswer: 50585496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, q: 15}. Give prob of picking 4 q.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5*g**3 + 26*g**2 + 7*g - 51. Let s(o) = 4*o**3 - 25*o**2 - 7*o + 52. Let r(t) = -4*s(t) - 3*y(t). What are the prime factors of r(20)?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -603853*b**2 + 607658 wrt b.\nAnswer: -1207706*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26757393, -26757399, -26757409, -26757423, -26757441, -26757463?\nAnswer: -26757489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2632 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-10))\/(((-1)\/4)\/(39\/52)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17950 divided by -50.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/2)\/((-15)\/(-20)). Suppose -5*n + 26 = j. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2954 and 28.\nAnswer: 5908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -324*n - 1285. What is the units digit of j(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*c - 20*c**2 + 17*c**2 + c**2)*(-3*c**3 - 2*c**3 + 0*c**3).\nAnswer: 10*c**5 - 200*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = 4*x, -12922*x + 5*s + 27 = -12918*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39598242 is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**4 - 560*i**3 - 44360*i**2 - 819520*i - 3447600 = 0.\nAnswer: -26, -6, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*(-6)\/780)\/(666\/(-1443)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -243*v**2 + 17632440*v - 959576976400\/3.\nAnswer: -(27*v - 979580)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-30)\/(-135) + (-212)\/(-18). Solve -y - g = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 5*u + 3337, a + 3*a - 661 = u. Let w = u + 269. What is w rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 9 + 11. Let j be 5\/w - (-6)\/8. Suppose -o - o = 0. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**2 + 7*g**3 + 2 - 5*g**3 - g**3 + 0 as b*g**2 + w*g + v + n*g**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4117957, -8235913, -12353869?\nAnswer: -16471825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 4577*f**3 - 6*f**2 - 277*f - 2. Let p(u) = 4583*u**3 - 8*u**2 - 275*u - 2. Let v(q) = -2*p(q) + 3*w(q). Find the third derivative of v(m) wrt m.\nAnswer: 27390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14 and 52409.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 73 + -145\/2. What is the closest to r in 0.1, 2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -9. Let o be q - (-3 + 1 - 1). Suppose o = y + y - 4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 - 9 = 3*f + i, -f = i - 6. Find the third derivative of 0 - 15*m**6 + 2*m**2 - 5*m**2 - f + 0*m**2 wrt m.\nAnswer: -1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 155293950 and 2.\nAnswer: 155293950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -7*s**2 + 4*s. Let f(b) = 19*b**2 - 5*b - 5. Let n(l) = 15*l**2 - 4*l - 4. Let r(p) = -4*f(p) + 5*n(p). Calculate -d(m) + 5*r(m).\nAnswer: 2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -22*t + 286. Let g(b) = b**3 - 12*b**2 - 14*b + 1. Give g(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 680 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/13725 and 36\/3355.\nAnswer: 150975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/154649022 and 131\/168708024?\nAnswer: 1855788264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -282 divided by 5?\nAnswer: -282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 8*u - 9. Let s be j(6). Suppose -s*a - 5*r = 8, -4 = 4*a + 3*r + 3. Do a and -2\/41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -15. What is the remainder when (-2 - (-2 + 2) - -3)*5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 14, 41, 82, 137, 206?\n\"Answer: 7*b**2 + 6*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 3*a**2 - 6*a - 5. Let j be m(-4). Suppose -j*b + 105 = 5*h, 13 = 3*b + 3*h - 86. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 + 1. Let n = -1 - i. Calculate the greatest common divisor of n and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -27136?\nAnswer: 2713.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 37.\nAnswer: 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 8:54 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 25577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 3*i = -12 + 13, 2*o + i = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from lxjaccarl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 69140, 123017, 176894?\n\"Answer: 53877*h + 15263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4314*q**2*u + 5*q**2 + 41*q + 1 with respect to u.\nAnswer: 4314*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -14*y**2 - 7*y + 2. Let b(u) = u**2 - u. Let l(w) = 2*b(w) + h(w). Let g(p) = -p**2 - 3*p + 1. Let a(v) = 4*g(v) - l(v). What is a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1204\/129)\/((-2)\/(-3)). Calculate the highest common divisor of 133 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - c + w - 18, 3*c = -3*w + 24. Solve 2*g - 3*r + 25 = 0, -c*g - r = 2*r + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xuxyfxbfyfppp. What is prob of picking 1 u and 1 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - k - 4*k = -8279980, -n = 4*k + 2070016. What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7499.4972 + -7508. Let y = 8.5 + x. What is y rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -3 and 17811 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 4*r + 10 = -88, -4*b + 9*b + 814*r + 84 = 817*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1208343618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*q + 298. Let a = 22272 - 22255. Calculate the remainder when q is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172, -180, -188?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1769a3 (base 11) to base 6.\nAnswer: -5502342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146934.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -6*c - 5. What is l(7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**3 + 3*d**3 - 3*d**3)*(d + 5*d - 2*d + (-2*d + 4*d - 4*d)*(4 - 4 + 1) - 13*d - 11*d - 50*d)*(-36*d + 12 - 5 - 7).\nAnswer: 5184*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 564, 1100, 1634, 2166, 2696, 3224?\n\"Answer: -a**2 + 539*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + -14055?\nAnswer: -14055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-38)\/(-2) - 0\/6. Let k(f) be the first derivative of f**4\/4 - 16*f**3\/3 - 29*f**2\/2 + 25*f - 652. Is k(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) 8  (b) -3  (c) -99\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 8082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(3 + sqrt(66)\/sqrt(6) + (sqrt(396)*-2 - sqrt(396)))*-5)**2.\nAnswer: -2550*sqrt(11) + 79700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*m - 3*m + 5*m)*(-6*m + m + 3*m) - m**2 - 4*m**2 + 3*m**2 + (1 - 2 - 2)*(1 - 1 - m**2) in the form k + x*m**2 + r*m and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3581324 - 23*v - 71*v**3 + 3581324 + v**2 - 4*v**2 to the form s + y*v**3 + u*v**2 + m*v and give y.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2 + 6*o - 4 - 5*o. Let t be -1 - (2\/3)\/((-14)\/21). Calculate k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -25.8 and -0.2073?\nAnswer: 5.34834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 + 81*v + 398. Determine w(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*c = -111 - 5079 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**(2\/7)))**6 assuming p is positive.\nAnswer: p**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*y + 61 + 72 - 4*y + 22*y - 133 + 17*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**4 - 30148388*u**3 - 241187360*u**2.\nAnswer: 4*u**2*(u - 7537105)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15011 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 9, -97\/4, 66, -0.1 in increasing order.\nAnswer: -97\/4, -0.1, 1, 9, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10890392021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -231*s - 1386. Let r be d(-6). Let 0*g + r - 1\/3*g**3 + 5\/3*g**2 = 0. What is g?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 588 by 147.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 20f3 + 5d?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 3*m - 7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 904 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -86011798969 - 13.2\nAnswer: -86011798982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 17878181.7 from 4.\nAnswer: -17878177.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.204767 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12, -2, 20, 60, 124, 218, 348?\n\"Answer: l**3 + 3*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*a**3 - 19*a**3 + 2*a + 25*a**3.\nAnswer: 46*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from derdrdd. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n - 22 = 2. Let o = n + 38. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 1:33 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 1 + 3. What is the lowest common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -326 at least as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 9:41 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 7 + 2)*((2*v - v + v)*(-2*v + 4*v + 0*v) - 82048*v + 82048*v - 540*v**2) - v**2 - 2*v**2 + 4*v**2.\nAnswer: 3753*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 452041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i. Suppose -23*c = -24*c + 6. Let g(y) = 3 - 5 - c*y + 2. Give g(s(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37.52 + -2.32. Let w = -80747.041 + 80782. Let f = b - w. What is f rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*u = 884, 5*k - 1374 = 4*u - 278. Calculate the highest common divisor of k and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/8*k**4 + 33\/8*k + 35\/8*k**2 - 33\/8*k**3 - 17\/4.\nAnswer: -(k - 1)**2*(k + 1)*(k + 34)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0324337 + 0?\nAnswer: 0.0324337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) 120573  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 8849995*w - 5. Let h be n(-1). Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4*sqrt(700))**2.\nAnswer: 320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 489497 is divided by 244706?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28211 - 853*f - 14106 - 14105.\nAnswer: -853*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128*k + 370838 + 14277 = 86107. What is the lowest common multiple of k and 1460?\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 13262 - 5?\nAnswer: 13255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3.3 and 9872445.\nAnswer: 9872441.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 678452503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 5 = -z - 0*z, -3*c - 71 = -4*z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*q**2 + 8*q**2 - 4 + 4*q**2 - 10 - 7*q + 9*q**2 to d + a*q**2 + f*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -40*k**2. Let p(b) = 13*b**2 + b - 2. Let o(j) = -40*j**2 - 5*j + 6. Let n(l) = o(l) + 3*p(l). Give n(a(u)).\nAnswer: -1600*u**4 + 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 770, 3108, 7108, 12860, 20454?\n\"Answer: 15*q**3 + 741*q**2 + 10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 4*m - 47. Let a be r(9). Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -16338104.\nAnswer: -32676208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 22 + 8. Let u be 1\/(1 - 3\/r). Suppose 2*q = -u*q - 8. Are q and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/30 - (-4 + (-228)\/(-54))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t**3 + 6*t**2 + 5*t + 5. Suppose -h + 4*k + 2 + 2 = 0, -3*h - 5*k = 22. Let s(f) = 5*f**3 + 5*f**2 + 4*f + 4. What is h*w(o) + 5*s(o)?\nAnswer: o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, u: 2, c: 2, k: 4, j: 2}. What is prob of sequence bcj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21842 or 21804?\nAnswer: 21804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -5*o**6\/12 + 23*o**5\/2 - 120*o**4 + 540*o**3 - 540*o**2 - 3240*o + 110. Suppose m(b) = 0. Calculate b.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 - 33*n + 107. Let l(i) = -2*i - 1. Let w(f) = -5*l(f) + v(f). What is the tens digit of w(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 87 and 142595407?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -5. Suppose -588 = 5*z + a, 0 = -z + 4*a - 88 - 17. Let v = z + 589\/5. Sort -0.8, -0.5, v, p in descending order.\nAnswer: p, v, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*h + 4*c, 4*c = -4*h + 5*c + 11. What is the derivative of -2*v + h*v + 2*v + 8 wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*p + 13*p + 63. Let z(w) = -2*w**3 + 12*w**2 + 23*w - 62. Calculate the remainder when 3 is divided by z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**4 - 266*v**3 - 23760*v**2 - 727936*v - 1362944 = 0. What is v?\nAnswer: -88, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 172 - 47 = 0. Let b = 4889.5 + -4880.5. Sort b, y, 1\/2.\nAnswer: 1\/2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**2 + x**2 - 6*x**2. Let m(z) = -1013623 + 5*z + 1013623. Determine m(k(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 368982.\nAnswer: 2, 3, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1017978, -1017981, -1017984, -1017987, -1017990, -1017993?\nAnswer: -1017996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - f**2 - 2)*(3 - 3 - 5*f**3).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3148665 rounded to the nearest ten thousand?\nAnswer: 3150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 45957 and 0.05.\nAnswer: 2297.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2*y - 21 = -0*y, -4*y - 3 = -t. Let d(h) = h**2 - 2*h - 8. What is the units digit of d(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t**2 - 8*t - 220. Let q be i(10). Suppose -2*w = -4*x + 16, x - w - 5 = 1. Suppose q = -x*m + 15 + 161. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/3 + 143*f - 870.\nAnswer: (f - 6)*(f + 435)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.513 - 4027675\nAnswer: -4027675.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56203, 112412, 168621, 224830, 281039?\nAnswer: 337248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(209) + (sqrt(209)*2 + sqrt(209) - sqrt(209)))*1)\/(2*sqrt(1100)).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 - 7*t + 4. Suppose -1 = -3*z - 1. Suppose z = 2*j - 29 + 19. Calculate m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11211454 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 120*b - 127*b - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/19800*20*((-63)\/(-4))\/(-7)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(156)\/(4*sqrt(1452)).\nAnswer: sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68 - 33 - 34 + 173*w**3.\nAnswer: 173*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -0.1. Let l = -116.1 - -116. Which is the closest to i?  (a) 2  (b) -1\/6  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**(2\/51)))\/a**(-3\/10) assuming a is positive.\nAnswer: a**(173\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 217079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*d + 1660 = -2*f + 1694, 0 = -d - f - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 35*l**4 + 9 + 2*l**2 + 10 - 11 + 84*l**4 in the form f*l**3 + z*l**2 + i*l**4 + n + q*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -4*s**3 + 3*s**2 - 11*s. Give o(4).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63922005.\nAnswer: 3, 5, 7, 307, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 32*s**2 + 31*s - 31. Calculate d(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*y = 48, 0*i + 2*y = 4*i - 60. Is i bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-317)\/(-2) + (-33)\/(-66).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - (-31 - -71 - (3 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3203729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 89459, 178912, 268369, 357830, 447295, 536764?\nAnswer: 626237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) 108  (c) -8\/385  (d) 0.2  (e) -5  (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -69215 divided by -13843?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**4 - 160*p**3 - 15*p**2 + 470*p + 320.\nAnswer: 5*(p - 32)*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*t + 3*t + 2*t + 3*t - 2*t - 3*t + (1 - 1 + 2*t)*(-4 + 3 + 3))*(-1 + 2 - 2)*(3 - 6 - 1).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 551\/3 + -1031\/6. Find the common denominator of -37\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*((-30 + 30 + 3*n + n**3)*(-19*n + 8*n + 18*n) + (0*n**2 - 5*n**2 + 0*n**2)*(-n**2 - n**2 + 3*n**2)).\nAnswer: -4*n**4 - 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1816560 and 20880?\nAnswer: 1816560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*j**2 - 15*j**2 - 15*j**2 - 6*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 20 = -3*g. Suppose -7 = -4*n - g*r - 35, -25 = 5*n + 3*r. What is the nearest to 1\/4 in -5, n, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*f**3 + 68555*f**2 + 58738780*f - 14688980.\nAnswer: 5*(f + 1714)**2*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 450\/11 - 90\/11*y - 26\/11*y**2 + 2\/11*y**3 = 0. Calculate y.\nAnswer: -5, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 88 + -6. Suppose 2*a - 16 = r. Suppose 3*q + 2 = q, -q - a = -4*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 2*i**2 + 9*i + 12. Calculate p(-5).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*j**2 + 64 + 8*j**2 - j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -50, -124, -238, -398, -610, -880?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (500\/300)\/(20\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 97*t - 479*t**3 + 527 - 99*t - 715*t**3 wrt t.\nAnswer: -7164*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c - 7. Let b be a(-5). Suppose -h = -b*h + 8. Suppose 4*d = 2*w, 2*w = 6*w - h*d - 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143)\/(sqrt(11)*-2) + sqrt(325) + -4)*-6.\nAnswer: -27*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 200, -1812, 0.5, 1, -2 in increasing order.\nAnswer: -1812, -2, 0.5, 1, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6692*w + 6682*w = -29610. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 285 + -283.79. Let n = r - -0.89. Which is the third smallest value?  (a) -1\/4  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 11) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.05  (b) -58017  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-37803)\/100808*(-544)\/3\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 21*s**2. Let j(z) = -7*z + 2. What is b(j(u))?\nAnswer: 1029*u**2 - 588*u + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -38, -70, -106, -146, -190?\n\"Answer: -2*v**2 - 26*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 198409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2\/2 + 393*z\/2 + 198.\nAnswer: -3*(z - 132)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-9) + 4\/3. Suppose 39*j = -48*j - 4437. Let y be 249\/j - -11 - 6. What is the nearest to 1\/2 in y, o, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -a**4\/2 + 5*a**2\/2 + 3*a. Let d(l) = 5*l**2 - 4. Let n(k) = 7*d(k) + 6*j(k). What is the derivative of n(h) wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.78 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) -53  (c) -1\/86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/2*25\/(-5). Suppose 3*v + i*k = 218, 0 = -4*k - 2 + 6. List the prime factors of v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 6 = -6*w. Let k = -2854\/195 - -44\/3. Is w >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**4 + 2*g**4 + 0*g**4 + (8*g - 7*g - 3*g)*(-2*g**3 + g**3 - 2*g + 0*g).\nAnswer: 4*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1460, 2933, 4422, 5927?\nAnswer: 7448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 81, 188, 325, 486, 665, 856, 1053, 1250?\n\"Answer: -b**3 + 21*b**2 + 51*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y. Let q(c) = c**2 + 4*c + 4. Let r(o) = o + 1. Let z(a) = -q(a) + 4*r(a). Determine z(d(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/7  (b) 6  (c) 2  (d) -0.014  (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(684) + 0 + -1 + (sqrt(684) + 0 + 5 - sqrt(684)))*6)**2.\nAnswer: 1728*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30835334 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 3*x - 5*x)*(0*x - x + 4*x) - 2*x**2 + x**2 + 3*x**2.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of 5\/144*u**4 + 0 + 1\/1260*u**7 + 0*u - 1\/18*u**3 + 23*u**2 - 1\/120*u**5 - 1\/720*u**6. Suppose c(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 12*r = -2*t + 9, 4*r - t - 15 = 0. Suppose 18 = -3*z - i - r*i, 0 = -i - 3. Is z\/(-6) + (-288500)\/(-75) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 245 (base 7) to base 5\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 477309450 and 1347.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 21250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.13 from 1492.0182.\nAnswer: 1492.1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 3. Let u(k) = k**2 - 8*k + 16. Let j be u(5). Let s be 0\/(4*j\/(-4)). Give f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**7\/21 - 181*a**5\/60 + 2011*a**3\/6 + 2744*a**2 + 2*a. What is the derivative of b(k) wrt k?\nAnswer: 40*k**3 - 362*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*1\/2*-1. Let h be ((-1)\/(-1))\/(k\/(-38)). Let w = 33 + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0715195 plus -2839677.2?\nAnswer: -2839677.2715195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.02 + 21.98. Let b = g + -24. Sort 2, b, 2\/7.\nAnswer: b, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6360409 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 16 * -36\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99630*z**2 + 298802*z**2 - 99626*z**2 - 99534*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 177216 and 3640596?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 362603?\nAnswer: 479, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-5)\/(-15) + 24\/9. Suppose 67 = 4*b + o. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4\/20553 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.026 in -3, -1\/3, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 3) + (45 - 1) - (-999 + 1011)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n - 6. Let l be h(-4). Let s = -26 + 10. Let w = 13 + s. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/106, -2, 1172, 1?\nAnswer: 1172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, j: 2, d: 1, l: 4}. What is prob of sequence jl?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 2*h**2 - 4*h - 3. Let p(f) = 2*f**3 + 5*f**2 - 11*f - 8. Let a = 182 + -185. Calculate a*p(m) + 8*q(m).\nAnswer: 2*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2502\/86319*(-6)\/(-4).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (2 - (-9 + 4) - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 2. What is the nearest to u in 4, -5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -26250157, -52500320, -78750483, -105000646?\n\"Answer: -26250163*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -50497210.7 to the nearest one hundred thousand.\nAnswer: -50500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -11*w**6\/6 + 13*w**3\/3 + w**2 + 67. What is the third derivative of q(i) wrt i?\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**2\/5 - 24713388*t\/5 + 152687886609636\/5 = 0. What is t?\nAnswer: 12356694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence udvv when four letters picked without replacement from {l: 1, v: 7, u: 1, d: 7}?\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 12*q**3 - 2*q**2 - q. Let n be j(-1). Let x be n\/(-11) + 4\/(-22). Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-4) - 0)*-3. Let q(n) = n**2 - 3*n - 2. Let v be q(r). Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 - 2*h - 3. Let a(k) = -11*k + 246. Let p be a(22). Let r(o) = o - 1. Calculate p*r(x) - c(x).\nAnswer: -x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 510232078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**3 + f**3 - 2*f**3)*(6*f - 2*f - f) - 3*f**4 + 2*f**4 + 3*f**4 - 5*f**4 - 209*f**2 + 209*f**2.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15031269*l**6 - 16847502*l**2 wrt l?\nAnswer: 1803752280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -829480 times 4\nAnswer: -3317920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1188) + sqrt(1188)*4 - sqrt(1188)) + sqrt(1188))*3)\/(-1*sqrt(539)*-6).\nAnswer: 15*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 293.7 * -1\nAnswer: -293.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -73 (base 12) to base 14.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 0.4, 5\/46 in decreasing order.\nAnswer: 0.4, 5\/46, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 730649 is divided by 730644.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1653857743228 plus 230?\nAnswer: 1653857743458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4 + 4*a**3 + a**2 - 4*a.\nAnswer: -a*(a - 4)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Suppose -p*z = -5*z. Factor 1\/2*d**3 - 1\/2*d + 0 + z*d**2.\nAnswer: d*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, z: 13}. Give prob of picking 2 z.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 134845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - -331013?\nAnswer: 331004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33661*s + 2*f = 33664*s - 116, s - 2*f - 112 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 481.8737928\nAnswer: 477.8737928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 4*f**2 - 1513812*f - 77214816 = 0.\nAnswer: -51, 378504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 20884016 minus 0.01?\nAnswer: 20884015.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8.907 - 9.907. What is the closest to a in 1, 15, -0.0054?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 (base 6) in base 14?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 323287487 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, w: 2, n: 1, t: 1, d: 3}. What is prob of sequence wdvn?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 - 34. Let m be 5*(-1)\/(-5) - l\/14. Is m equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198541*p + 198684*p + 198681*p + 3 - 595913*p - 3.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(88)*1)\/(sqrt(400)\/sqrt(2)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 - 9*f + 21 as v + t*f and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**6*y**(-1\/5))\/((y**(5\/4)\/y)\/y**(-3)))**(2\/15) assuming y is positive.\nAnswer: y**(17\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -25, -1\/3, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-385))\/(250\/65625).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 565 + -565.2. What is the closest to -2\/7 in -4, 6\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aavvvvavvavavvvvvvv. Give prob of sequence vav.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 27 = -2*g. Which is smaller: -26 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2.8. Let u = -0.3 - k. Let d = 1 + u. Which is the second biggest value?  (a) d  (b) 0  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 - 1394\/(-85))*((-267)\/(-6) - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*c - 16*c + 11*c + 17 - 7 - 4*c**2 to the form q*c + n*c**2 + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1084.5 + -1091.5. Is p greater than -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - (72 - (-69 + 48))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 553310427?\nAnswer: -553310429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(0 - (-5 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/(-4)*-1 - 366\/244 and 5\/(-15) + 1076\/(-48) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 183846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 9:22 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 185.309 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 6:30 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k = -4*k - 105. Let t(x) = x**2 + x + 5. Let a be t(5). Let p = a - 21. Solve -5*r - 2*z + k = 0, 4*z = 4*r - 14 - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 582 - 500. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 PM and 3:07 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*c + 3*c + c)*(-1 - 1 + 5) + 3*c + 8*c + 0*c)*(-6 + 8 + 6)*(-1 + 0 - 2).\nAnswer: -408*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/21 - (-90)\/21. Let g(q) be the second derivative of q**4\/4 + 3*q**2\/2 + 38*q. What are the prime factors of g(o)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-408)\/(-36))\/((-1)\/3). Is -2 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.25837 * 0.2\nAnswer: -0.051674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 15\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 87 - 327 = 0. Suppose 5*w = 858 - 78. Calculate the greatest common divisor of j and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*d + 2*b - 14 = 0, 0 = -d + b. Suppose 2*u - u + 7 = 0. Find the common denominator of 114\/84 - d\/u and 17\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -249024 - -2059.\nAnswer: -246965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j, 1 o, and 1 p when four letters picked without replacement from {p: 2, o: 5, j: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/4 + (-45)\/(-12). Suppose -n*k + 8772 = s + 927, -k - 4*s + 1965 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -11*b**3 + 19*b**2 + 21*b + 427. Let l(h) = -10*h**3 + 17*h**2 + 18*h + 427. Let x(a) = -6*c(a) + 7*l(a). What is the derivative of x(w) wrt w?\nAnswer: -12*w**2 + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/8)\/(36\/48). Let l(o) be the third derivative of d*o**3 + 0*o + 0 + 1\/12*o**4 + 3*o**2. What is the first derivative of l(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -15.8. Which is the second biggest value?  (a) 1  (b) n  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 2 = -n + 2*n, 0 = n - f - 23. Solve 0 = -3*r + r - 5*o + n, -o = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104033.\nAnswer: 104033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -2*g + 9, -5*a + 10*g + 19 = 7*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-156)\/975)\/(-1*(-1)\/(-5))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 102 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o - 4 + 4)*(13 - 29*o**2 + 6 + 31*o**2)*(-502*o + 1719*o + 827*o) to r*o**2 + f*o**4 + c + w*o + b*o**3 and give r.\nAnswer: 38836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -9*f + 5 - 1 + 0. Let q(v) = -4*v + 2. Let j = -60 - -54. Calculate j*m(o) + 13*q(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*l + 5*l - 16 = -2*s, -6 = -s + 2*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 15*q - 510 = 0. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 593613 and 216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4188 - -4199. Solve -h*a = 36 + 30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3. Let i(c) = c**2 - 2. Let a(k) = -3*i(k) + 2*o(k). Let z(v) = 0*v + 11*v**2 + 0*v - 9*v**2. Determine a(z(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 6.146387 kilometers?\nAnswer: 6146387000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -1. Let m = j - 2.925. Let v = -0.02 + m. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b - -aae?\nAnswer: ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 + 0*x**2 - 2*x**2)*(2 - 17 + 11)*(-2 - 2 + 5).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 10020022202012?\nAnswer: 10020022202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x - 11291 = -11396 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-1302)*28\/10*(-45)\/36*4?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d - f = 8*d + 8, 10 = 5*d - 2*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x + 11. Let p(y) be the first derivative of -y**2 + 5*y + 18. Determine 3*d(i) - 7*p(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 3*h - 11 = -25, 2*h = 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 - -0.7. Let c(t) = -t**3 + 5*t**2 + 9*t - 23. Let n be c(6). What is the nearest to n in 5, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (3 + -6)) + (-8 - 8 - -19) - 27?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -6*r + 2. Let f be a(-4). Let o(i) = 8*i - 3. Let p = -4 + 6. Let g be o(p). What is the highest common divisor of f and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11425\/58953 - (-2)\/(-6). Which is bigger: 2\/11 or j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(405\/(-6)) + (-1788)\/(-90). Let o(w) = 2*w - 5. Let u be o(6). Let x = u - 3. Calculate the greatest common divisor of x and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + -2)*(-16)\/4. Suppose 0 = -b*k - v - 9, -4*k - v = -7*k - 5. Let g = -0.2 + 0. Sort g, k, -0.3 in descending order.\nAnswer: g, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -1039*b**3\/3 + 117*b**2 + 2*b + 757. Find the second derivative of w(v) wrt v.\nAnswer: -2078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 11 - 157. Let g = a - 366\/5. Let j = -699 - -698. Is j != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84 - 72 - 546\/45.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -422870*j + 86679*j - 90863*j - 38613*j.\nAnswer: -465667*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -7. Let h be 2\/(-3)*3\/(-2). Let n = h + g. Solve 4*s - n = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 577 - 681.6. Let t = -104.58743 - q. What is t rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 at least 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/2 of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3.59 times -1841\nAnswer: 6609.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.1+-174.4054836\nAnswer: -174.5054836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(0 + 0 - 2*v) + 3*v - v + 2*v + 0 + 0 + 3*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-15)*42\/(-217)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*p - 9*p + 4*p in the form u*p + t and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3030 + 9852. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17573438 to the nearest integer?\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**3*y)\/((y*y**(9\/4))\/y)*y**(3\/13)\/y*y*y\/(y*y**(-1\/5)*y) assuming y is positive.\nAnswer: y**(307\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**4\/2 + 282*o**3 - 2757*o**2\/2 + 1098*o = 0 for o.\nAnswer: 0, 1, 4, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258037 = 9*c - 2684036. Let d = 192697 - c. What is d rounded to the nearest one thousand?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 8:03 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7105 is divided by 337.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 171*w - 168*w + 15, -4*y + 5*w = -25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 804.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*1 - (960925\/(-119) + -1 + -4)?\nAnswer: 2, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34035 is divided by 149?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 758084 is divided by 26140?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -v**5\/20 + v**4\/2 - 23*v**3\/12 + 7*v**2\/2 - 3*v + 30. Factor s(i).\nAnswer: -(i - 3)*(i - 2)**2*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 30 = -2*s. Sort -4, -5, s, -1 in decreasing order.\nAnswer: s, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21304 + 276780\/13. Let i = 33\/26 - x. Calculate the common denominator of (-20)\/270*60\/(-1) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p - 689 = -2251. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*209\nAnswer: -62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 107427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 731029 and 689.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4419818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28\/3*z**2 + 7 + 2\/3*z**3 - 1\/3*z**4 + 46\/3*z.\nAnswer: -(z - 7)*(z + 1)**2*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1730726*j**6 + 5*j**5*n**3 - 33*j**2*n - 56317*n**3 wrt j?\nAnswer: 207687120*j**3 + 300*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009614 rounded to 5 dps?\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -875.06*8.\nAnswer: -7000.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -865 and -26.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28*0.4.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*l - 29*l + 160 = 0. What is the common denominator of -36\/85 and (-66)\/(-11) + 594\/l?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 702 - 141. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77, -183, -359, -605, -921?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 10*b**2 - 11*b. Let l be x(11). Put l, 5, 4 in increasing order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5116, 10057, 14996, 19933, 24868, 29801, 34732?\n\"Answer: -t**2 + 4944*t + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*w - 6*w - 26 + 2*w - 2*w**3 + 7*w in the form x*w**3 + v + q*w**2 + s*w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4259355 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6284753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**2 - 7*v**2 - 3 - v**2)*(4 - 1 - 1)*(1 - 5 + 0).\nAnswer: 40*v**2 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 100987163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5760 + 121046\/21. Let h = -165927\/14 - -11844. Find the common denominator of u and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgggggbgggggg. Give prob of sequence bb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = d + 4. Let k = d - -13. Suppose -w - 5*a = -2*a - 16, 3*a = 3*w - 72. What is the remainder when w is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-5*(sqrt(126)*-4)\/sqrt(9))\/(-2*sqrt(12)\/(sqrt(6)*1))*-2)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x + 309 = 18*x + 3*y, 0 = -3*y - 6. Calculate the remainder when 2943 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 62 - 40. Suppose -4*s + l = -2*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -171*q + 24453. What is r(143)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 165025638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m - 6. Let u be r(-12). Suppose -3 = -u*x + 21. Suppose 5*l = 2*i - 23, 2*i + l - 13 = -x*l. Solve 3*a = -j + 11, -2*j = 4*a - 5 - i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1043535 is divided by 26078.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 467 + -751. Is y equal to -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12610210?\nAnswer: 2, 5, 23, 109, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.5327 + -131.4673. What is the third smallest value in 6, -1, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -13 + -13 + -4 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*b**5 - 659452*b**3 + 613520*b**2?\nAnswer: -600*b**2 - 3956712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 247 and 199 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 81\/486*(0 - -30). Solve -6*s + k*s + 10 = -2*n, 0 = 2*n - 5*s + 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = 15*d - 1325. List the prime factors of d\/(-9)*1512\/(-49).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from fdqkjddqfdkdfkjddqd?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 445 + -425. What is the second derivative of 51*s - i*s**2 + 128*s**4 + 79*s + 20*s**2 wrt s?\nAnswer: 1536*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -4*i. Let w(b) = -750350*b**2 - 6. What is s(w(a))?\nAnswer: 3001400*a**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t*t**(1\/14)\/t*t*t*t)*t)\/t**(-13) assuming t is positive.\nAnswer: t**(181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 22*v + 73. Let f(i) = 4*i**2 - 96*i - 291. Let y(o) = -9*c(o) - 2*f(o). Let u be y(13). Factor -22\/5*t**2 + 0 - 2\/5*t - 96\/5*t**4 - u*t**3.\nAnswer: -2*t*(3*t + 1)*(4*t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 1339728995\nAnswer: -1339729001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 272 - -424. List the prime factors of j.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 10 - (19 - 22) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -282373\/30 - -9414. Find the common denominator of w and (-78)\/65 - 2\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160645 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 + -65 + -29 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(12\/(180\/(-15)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 21 + 10*(-3 - 65\/(-25)). Calculate the highest common divisor of k and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 8. Let x = 1358 - 1363. Which is the third smallest value?  (a) -4\/17  (b) r  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (38*671\/16226)\/((-2)\/(-14))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 + 22*s - 2. Let n be c(-11). Let r(g) = -5*g - 26. Let x be r(-5). Let p be 1\/(-2 + 1)*0. Sort n, p, x in decreasing order.\nAnswer: p, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -174, -2 in increasing order.\nAnswer: -174, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1874894, 3749756, 5624618?\n\"Answer: 1874862*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*6*(sqrt(2) + -1 + 1).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -2*f**4 - 91*f**3\/2 + 207*f**2. List the prime factors of g(-35).\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1081*h**3 - 2473*h**2.\nAnswer: 6486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7704*b - 15408*b + 7705*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*p + 16*p - 4*p)*(-4 + 8 - 1)*(1 - 4 - 1) + (8 - 8 + 3*p)*(1 + 1 - 1) to the form l + g*p and give g.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.139353 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37217 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 22\/(-3)*201\/(-2). Suppose -3*p + 53 + 202 = q, l = 3*q - 5*p. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 2*p + 5 = 0. Let h be (-1)\/1*(6 - 8). Sort 3, h, p in descending order.\nAnswer: 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -120 + 127. Suppose -p = f - 9. Factor -2\/7*n**3 + 2\/7 - 6\/7*n + 6\/7*n**f.\nAnswer: -2*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0786761 times 2\nAnswer: 0.1573522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1829, 4794, 9731, 16640, 25521?\nAnswer: 36374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**3 + 4*c**3 - 3*c**3)*(-1 - 2 + 4) + 2*c**3 + 4*c**3 - 26*c**3 - 4*c**3 + 0*c + 0*c + (1 + 2*c**3 - 1)*(0 - 3 + 1) + 3*c**3 - 3*c**3 + c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62095326 is divided by 1471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 413 + 1569 = 0. Is f - 6 - (-3 + (-2 - -4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/215775?\nAnswer: -2\/215775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 58  (b) -1\/2  (c) 0.2  (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3907164?\nAnswer: 2, 3, 325597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 11:50 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 159 and 38226.\nAnswer: 2025978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 27317.51 centuries?\nAnswer: 2731751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36*n + 66 + 78 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22 or 1861\/90?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 30*v + 227. Let g be k(13). Let z(m) = 2*m**2 + 3*m + 2. Let d(u) = 2*u**2 + 2*u + 2. Give g*d(t) - 5*z(t).\nAnswer: 2*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5*k = -3. Let q(y) = 2*y + 1. Let z be q(k). Suppose 4*c + 5*l - 36 = 0, -5*c + z*l = -11 + 3. Calculate the remainder when 10 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 3:30 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/796 and -85\/161964.\nAnswer: 32230836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 58*a**2 + 3*a - 779*a**2 - 6*a + 3*a in the form o*a + f*a**2 + d and give f.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -40586558 greater than -40586558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (2 + 3) - (164 + -143)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (50\/(-3))\/(50\/(-75)). Calculate the highest common divisor of q and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-8)*8\/(-66). Suppose f - 1 = 2*f. What is the closest to 1 in 1, z, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 102001121?\nAnswer: 102001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h**3 + 7 + 6*h**2 + 3*h**3 - 7*h**3 + 5*h**2. Let y be k(-11). Let m be 2\/3*(-21)\/y. What is the nearest to 1 in -4, m, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, d: 6, f: 2, r: 3, a: 4}. Give prob of picking 1 p and 2 d.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -6. Let g = -19 - -31. Suppose 354 = 5*o + 172*o. Solve o*y - g = t*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 10. Let o be n(-8). Let w be -1 + (-1514)\/(-20)*o. Let h = w + -151. Which is the second biggest value?  (a) h  (b) -0.4  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - -5) + 4 - 4\/2. What is the lowest common multiple of (0 - 18)\/(w\/(-12)) and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 12:51 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, o: 1, x: 7, y: 1}. What is prob of picking 1 x, 1 g, and 1 o?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 111011795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 26929915 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3 - (-4)\/(-6)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2982219 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1942 + 1962 + 3 + (0 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 7. Let i(w) = 3*w**2 + 2*w + 1. Let p be i(-1). Let t(k) = k**2 + 5 - p*k**2 - 3 - 6*k. Determine t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 349341 divided by -3.\nAnswer: -116447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 631526?\nAnswer: 2, 7, 79, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19094662607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2366, -5870, -10508, -16280, -23186?\nAnswer: -31226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -503, -93787, -1 in descending order.\nAnswer: -1, -503, -93787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 335389.\nAnswer: -1006167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -133.2718318 - -1.0169018. Let m = h - -121.255. Let w = m + 11. Round w to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 20*b + 26. Let s be r(-19). Suppose 0 = 5*z - 4*m - s, -4 - 21 = -5*m. Sort z, -2\/5, -1, -3 in decreasing order.\nAnswer: z, -2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 2c6c5?\nAnswer: -2c6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -447, -313, -179?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1, 6, 0.2, 9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*h - 10. Let x(g) = -2*g - 2. What is x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.352384 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 12126554 (base 7) to base 6\nAnswer: 35112532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a century in decades?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3.6, -0.1, 4, -2, -0.093, -1 in increasing order.\nAnswer: -2, -1, -0.1, -0.093, 3.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 129 - 39 = 0. Let o = 9 + h. Let r = o - 30. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 165 = -n, -4*n + 210 = 5*t - 2*n. Let y(z) = 264*z - 5894. What is the remainder when y(23) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 times 21.1?\nAnswer: 1.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -1579*j**4 + 8*j**2 - 1727*j. Let t(b) = -3158*b**4 + 18*b**2 - 3453*b. Let r(l) = -4*t(l) + 9*w(l). What is the second derivative of r(s) wrt s?\nAnswer: -18948*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38033 and 104974.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 - 8*l**2 - 7*l + 1. Let m be u(-3). Suppose 4*v = -b + 485, -5*b - m*v + 2*v = -2515. What are the prime factors of b?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -90*d**3 - 22770*d**2 - 6*d - 1511. Give n(-253).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -37. Let j = b + 62. Let t(w) = w**3 + 64*w**2 + 1007*w + 225. What is the remainder when j is divided by t(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, u: 4, m: 2, w: 5}. Give prob of sequence qq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 39091753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 0.1, 1\/11, 0.09?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, o: 4, z: 3, n: 3, a: 4}. Give prob of sequence an.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -933 + 932.99996613. Round o to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**3 + 2*p**2 - p + 4. Let z be y(0). Suppose 6*d + 16 = z*d - 4*a, -3*a = 12. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-5)*v*v**(-2\/7)\/v)\/(v*v*v*v\/(v**(-2\/5)\/v)*v)**47)**(16\/9) assuming v is positive.\nAnswer: v**(-165248\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 569647.3 times -0.06\nAnswer: -34178.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 5. Suppose 5*k + x = 12. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5677\/6 - 2840\/3. Which is the closest to 3\/2?  (a) i  (b) 4  (c) 5  (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4828.3 rounded to the nearest ten?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -3*y - 2*y - y - y**2 + y + 8. Let x be v(-6). Solve x*w = -1 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 7, -0.6, -0.001 in descending order.\nAnswer: 7, 0.3, -0.001, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -195625*z**4 - 3*z**2 + 47*z - 9?\nAnswer: -4695000*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 131437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 4*m - 26 = 0, o + 13*m = 14*m - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + y**2 + 2. Let o be h(0). Let n(m) = 3 + 4*m**2 - 3*m - 2*m - 3*m**o. What are the prime factors of n(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -2 + 5 + 3 + (-1 + sqrt(300) + 0)**2 + sqrt(300) + 1.\nAnswer: -10*sqrt(3) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 0*p - 2*p)*(-6 + 0 + 4) - 61*p - 38*p + 19*p - 61*p.\nAnswer: -133*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -581939.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, i: 2}. Give prob of sequence iiv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2313111322 (base 4) to base 12.\nAnswer: 30270a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 1345*y**3 + 4*y**2 - 3*y + 1. What is the thousands digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 25 + -10 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 22*p**2 - 2*p + 1. Determine a(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19700 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -420 + 20 + 700*j + 60*j - 321*j**2 - 2*j**4 + j**4 - 33*j**3 - 5*j**3.\nAnswer: -(j - 1)**2*(j + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-32)\/6 - 3\/(-9). Let l(w) = -6*w**3 + 5*w**2 - 6*w - 3. Let x(v) = 7*v + 25 - 6*v**2 + 7*v**3 - 21 + 0*v**2. What is b*x(z) - 6*l(z)?\nAnswer: z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*x - 225. Let u(b) = -b**3 - 4*b**2 + 2. Let s be u(-4). Suppose -3*l + x = s*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**5\/4 - 5*w**4\/2 - 9*w**3 - 29*w**2\/2 - 43*w\/4 - 3.\nAnswer: -(w + 1)**3*(w + 3)*(w + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - k = -5, 2*k + 8 = 2. Suppose m*r - 14 = 156. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.5492 * 4\nAnswer: -6.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 169540 and 1518020.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -861 bigger than 0.09953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008414672 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/7  (b) -5  (c) 0  (d) 104877  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128253459?\nAnswer: 3, 47, 909599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*x**2 + 61*x**2 - 32*x**2 - 4*x**3 + x**3 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-2))\/((-456)\/114)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01 and 7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/((-6)\/(-27))*-2. Let v = w + -6. Suppose -v*a = -a - 130. Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 23?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5920230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((((sqrt(130) - (sqrt(130) - -1*sqrt(130))) + sqrt(130))*2 - sqrt(130))\/sqrt(10))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 30 = o - 21, -2*t + 10*o = -34. Put 5, t, 6, -3 in increasing order.\nAnswer: -3, t, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**3)**(-10)\/(k**(-12)*k**(-17)) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63365922 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 737.5401 milligrams to grams.\nAnswer: 0.7375401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 - 2*k - 2. Let u(y) = 3*y**2 - y - 5. Let a(t) = -3*t**2 + 6. Let i(l) = -2*a(l) - 3*u(l). Determine 5*i(j) + 8*v(j).\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11726, -23449, -35170, -46889, -58606, -70321?\nAnswer: -82034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/646 and -45\/7754128.\nAnswer: 131820176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r\/(r\/(r*r\/((r\/(r\/(r**(-8)\/r*r)))\/r)*r))*r*r)\/r)**(-14) assuming r is positive.\nAnswer: r**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 take away -75?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u - 12. Let q be m(8). Let l(t) = -3*t**2 + 11*t + 0*t**2 + q*t**2 - 3*t + 7. Does 7 divide l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -8496?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -108*o**3 - 9*o**2 + 8*o + 10. What is i(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/5 + 64*u\/5.\nAnswer: 2*u*(u + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/2 + (1863\/(-42))\/9?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**3 - 5*k**2 + 3*k. Let f(o) = 5*o**3 - 10*o**2 + 7*o - 1. Let s(u) = 3*f(u) - 7*n(u). What is s(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + (sqrt(343) - 4*sqrt(343)) - sqrt(343) - sqrt(343))**2 + 1 + 4 - ((sqrt(343) + -1)*-5 + -3))*-3 + -1.\nAnswer: -16474 - 105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26925 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of z**4\/16 + 31*z**3\/12 - 22*z**2 + 36*z - 3919. Factor r(n).\nAnswer: (n - 4)*(n - 1)*(n + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*g*o*x + 13021*g*o*y**2 + 2*g*o*y + 2*o*x**3*y + 2*o*x**3 + 2*o*x**2*y**2 - 6*o*x*y + 2*o - 12*x**3*y**2 + 104*x**2 wrt y.\nAnswer: 26042*g*o + 4*o*x**2 - 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 6*q + 2699 + 0*q + 0*q + 2*q - 2686. Determine v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a. Suppose 4*y - 6 + 2 = 0. Let z = y + 1. Let h(j) = 2*j - 2*j + z*j. Give w(h(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -788*w - 4392 = -172*w + 7928 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162694 is divided by 161893.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 84*u + 246. Let o be d(3). Let v(q) be the first derivative of -10\/3*q**o - 4 - q - q**2. Give v(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3381 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1032095 is divided by 4468.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8845842737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 332 (base 13) to base 6\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (6 - (6 + 5 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 10 = -2*o, 0*o - 9 = -c + 3*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*v + 3*v - v + (2*v + 0*v - v)*(-2 + 5 - 4))*(22 + 40 + 32) in the form f*v + s and give f.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1911*q**2\/8 - 3813417*q\/4 - 131703\/8.\nAnswer: -3*(q + 3991)*(637*q + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225*c - 12*c - 116*c = 93898. Put c, 4, -2 in descending order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 0*m**3 + 14*m + 0*m**5 + 0 + 0*m**2 + 1\/15*m**6 - 5\/4*m**4. Find the third derivative of l(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -3*((sqrt(280) - 3*(sqrt(280)*4 - sqrt(280) - sqrt(280)))\/(-3*sqrt(360) + sqrt(360)))**2.\nAnswer: -127\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) -56  (c) -4  (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.469 + 0.0623862.\nAnswer: -0.4066138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 + 6 - -6) + (-14)\/(196\/(-24318)) is divided by 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 784865.6 weeks?\nAnswer: 474686714880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 448, -4, 3 in decreasing order.\nAnswer: 448, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 56 = 428*j - 433*j, -2*j - 53 = -3*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-112)\/(-18) + (-6)\/27. Suppose 2*f = d*c - 3*c + 12, 0 = -3*c + 12. Solve -j = 2*j + f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(63) + -2 + 3 - sqrt(63))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 3*c + 0*c)*(-7*c**2 + 7*c**2 + 6*c**3)*(0*c - 5*c + 6*c + (0*c - 3*c + 5*c)*(6 - 2 - 2) + 2*c - 2*c + 3*c) + 0*c**5 - 3*c**5 + 8*c**5.\nAnswer: 101*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 10 + 2 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p. Let a(r) = -2*r**2 + 3*r. Let q(o) = -3*o**2 + 4*o. Let z = 1 - 5. Let w(f) = z*a(f) + 3*q(f). Calculate m(w(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*j + 100*j = 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 - -9. Let d be (k\/(-4))\/((-6)\/(-8)). Factor 2\/5*x**d + 0 - 2\/5*x.\nAnswer: 2*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5, y: 11}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2*n = 710, -16*n - 1055 = -3*w - 17*n. What is the smallest common multiple of 35 and w?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oggo when four letters picked without replacement from gogggoogoo?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 4548?\nAnswer: 50028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 4:01 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 750 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8365643 and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.458604 plus 614?\nAnswer: 611.541396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3\/5)*d*d*d**5)\/(((d\/d**(-6))\/d)\/d*d*d*d**(2\/3)) assuming d is positive.\nAnswer: d**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6724*g**2 - 3363*g**2 - 343*g - 3357*g**2 + (2*g - 6*g + 5*g)*(0 + 1 + 0)*(-2*g + 1 - 1).\nAnswer: 2*g**2 - 343*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -6, -0.2 in ascending order.\nAnswer: -6, -0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357412 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h + i + 6, 0 = -h + 5*i - 4*i + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 12:02 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 1. Let k(s) be the second derivative of -s**5\/20 - s**4\/6 + s**3\/2 + s**2 - 4*s. What is the smallest common multiple of h and k(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7239 + 7243. Let c(n) = -7*n + 5. Give c(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53308518?\nAnswer: 2, 3, 199, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 minutes after 10:17 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s + 6. Let j be c(0). Suppose 3594 + 386 = 5*z. Let y = 850 - z. Calculate the highest common divisor of y and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + (64552\/60 - 14\/(-105)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19778781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -479 = -9*n + 25. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 48*y - 173*y - 97*y**2 - 125*y + 14*y**2 - 26*y**2.\nAnswer: -109*y**2 - 346*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 88 and 69341976?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*s - 2606 + 254. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 + 39.2. What is the nearest to 1 in 0.5, 0.1, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-152)\/72 - (-2)\/18 - -2. Let o(b) be the first derivative of -3*b**2 + 3 + 21\/5*b**5 + w*b + 9\/4*b**4 - 3*b**3 + 3\/2*b**6. Let o(j) = 0. What is j?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v + 18. Let k be o(0). Suppose 3*h - 14 = -4*c, -4*h + h + 19 = 5*c. Suppose p + 4*p + 2*x = 9, p - c*x = k. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3146 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of 41*f**5\/40 + 77*f**3\/6 - 49*f**2 - 1. Let j(b) be the first derivative of x(b). Let w(y) = -y**2. Determine w(j(r)).\nAnswer: -15129*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-9)\/(63\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 15 - 3 = 0. Let x be (d + 2865)*(-102)\/12. Let i = x - -950006\/39. Find the common denominator of -43\/10 and i.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.11, 3\/7 in increasing order.\nAnswer: 0.1, 0.11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 4. What is the third biggest value in -0.1, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*g**3 - 9*g**3 + 4 - 2*g**3 + g in the form u + j*g**2 + y*g + t*g**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwb when three letters picked without replacement from eewb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/449770 and -9\/73390.\nAnswer: 80508830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4448 - 4446. What is the lowest common multiple of z and 4666?\nAnswer: 4666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, u: 1, k: 3, y: 1}. What is prob of picking 2 z and 1 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 8*l + 1. Let p be z(6). Suppose -520*w + 490*w + 210 = 0. What is the highest common factor of w and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 29939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(-130))\/(28\/30)*-7\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 9*i - 19. Solve k + 7 = i*k - 5*o, 4*o - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -27 - -8bc?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.56?  (a) 1  (b) -4  (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2186 - 15278\/7. Factor -4\/7*f**3 - w*f**2 - 32\/7 - 48\/7*f.\nAnswer: -4*(f + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1837538944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 30, -7 in increasing order.\nAnswer: -7, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 126698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a. Let h be l(-3). Let x = 6 - 3. Suppose -16 = -x*t - t. Put h, t, -5 in ascending order.\nAnswer: -5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 4 - 0. Let t = 3 - d. Suppose 0*k = t*k - 6. Solve -k*h + 2*y = -20, -5*h = -0*y + 5*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -23*r + 168. What is l(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 - 3 + 1 - 4 + 2 - 1 + 1 - 1 - 3 + 0 + 2 + (-2 - 2 + 3)*(2 + 2 - 3))*(4*t + 3*t - 5*t).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*v - v + 211, -3*v + 12 = 0. Let g = m - 39. Suppose g = -t - 3*t + 260. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 11  (b) 4  (c) -3\/4  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from pppacacpppzpac?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.08 and -0.01963?\nAnswer: 0.0015704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {o: 5, q: 5, t: 8}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.00789 or -0.16?\nAnswer: -0.00789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 22368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 132*r**2 + 744*r + 804. Is f(137) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -2. Let l = -3 + 3. Suppose -2*s = 2*s - 8, 5 = -3*c + s. Sort c, a, l.\nAnswer: c, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/10928?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -130 - -137. Suppose g + 2*g = 9. What is the lowest common multiple of m and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 7*o**2 - 2 + 2 + 2*o.\nAnswer: -7*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 47699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7349635860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -141145020 (base 6) to base 11.\nAnswer: -16838a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 797\/3960 - 1\/792. What is the fourth biggest value in -3, 0, 2, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*i**2 + 19*i**2 - 67*i**2 - 2*i**4 + 21*i**2 + 17*i**2 - 59*i as r*i**4 + p*i + z*i**3 + u*i**2 + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 181 + -91. Let u = 1574 + -1567. Suppose u*q = 4*q + m. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40165412 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1717*t + 25*t - 1058*t to the form l*t + j and give l.\nAnswer: -2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-90)\/60*(-310)\/252. Let x = o + -5\/28. Which is the third smallest value?  (a) -0.3  (b) -4\/5  (c) 1  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1665*l**3 - l**2 + l - 718?\nAnswer: 9990*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rkk when three letters picked without replacement from kkr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-25) + (-18)\/5. Suppose 2*z = -5*l - 3*z + 30, -2*l = -5*z + 9. Sort t, l, -1, -2 in descending order.\nAnswer: l, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*f**4 + 5377*f**3*w + 3*f**3 - 8*f**2*w - f**2 + 4*f*w - 3*w - 7 wrt f?\nAnswer: -48*f + 32262*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 12. Let i be 5 + 2\/(-1) + -3. Suppose j = 25 + 19. Calculate the remainder when j is divided by l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*p**2 + 0*p - 94127*p**3 - 3*p + 2*p - 6*p**2.\nAnswer: -94127*p**3 - 25*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -992 divided by -335878.\nAnswer: 496\/167939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2434034033 (base 5) in base 6?\nAnswer: 323343442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4095190\/13 equal to 315015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 1 + -13 + 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28.344 + 0.256. Is -0.3 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -32 - 34. Suppose u = 3*u - d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 182 by 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 228662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -18. Suppose z = -q*z + 15. Find the first derivative of -2*c**2 + c**2 - z - 5 + 7*c**2 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-153)\/36)\/(-17)*16\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5510*u**2 - 7*u + 1. Let s(x) = -4592*x**2 + 6*x - 1. Calculate 11*f(z) + 13*s(z).\nAnswer: 914*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1087\/7 + -155. Which is the closest to -2\/3?  (a) -5  (b) s  (c) -0.8  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-10)\/4)\/((-55)\/44). Solve z - 3*z - b = -1, i*b + 8 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, 0.2, -0.06, -1\/2 in descending order.\nAnswer: 2, 0.2, -0.06, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 19*i**2 - 173*i + 651. Calculate k(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 e, and 1 k when four letters picked without replacement from {l: 1, d: 7, k: 2, z: 4, x: 1, e: 3}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3) - (-26)\/6. Suppose -w + 20 = d*w. Let v(c) be the first derivative of -c**3\/3 + c**2 + c - 1. Calculate v(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 212335 and 5?\nAnswer: 212335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**2 + 6836*a = 0.\nAnswer: -6836, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2490233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 8*v**3 - 1 + 4 to the form p*v**3 + z + w*v + i*v**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 463, 496, 529, 562?\n\"Answer: 33*z + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185*z - 47154 = -998*z. Let x = -3 - -6. Put 5, x, z, -5 in decreasing order.\nAnswer: z, 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = 268 - 228. Suppose 3*u - 5*a = 2*u + 5, -2*u + 25 = 5*a. Let j be (u + -1)*10\/30. Sort -3, k, 8, j in increasing order.\nAnswer: -3, j, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(704)*-2 + 1 + sqrt(704)*-1 + -2)*6 + -4)**2*-5)*-4.\nAnswer: 57600*sqrt(11) + 4563940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 20 = -6*r. Suppose 3*t = 3*i - 24, -3*i = -r*i - 5*t + 26. Calculate the smallest common multiple of ((-36)\/8)\/((-18)\/24) and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*l = 17*l - 4*l - 1717152. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -276*m + 8706 + 23134 = 66*m + 4138 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-7 + (6 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 188*z**3\/3 + 8*z**2\/3 - 188*z\/3 - 8\/3.\nAnswer: 4*(z - 1)*(z + 1)*(47*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - 4\/(-2) - -23. Let l = a - 32. Let w(s) = -s**3 - 8*s**2 + 6*s + 2. Let b be w(l). Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8015145\/8 <= 1001894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*q**2 - 5\/4 - 3\/2*q.\nAnswer: -(q + 1)*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 7. Let x(o) = 17*o + 592. Let t be x(-32). Let k be (-150)\/4*(17 - 880\/t). Calculate the greatest common divisor of m and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-3 + (sqrt(1331) - (sqrt(1331) + 0)) + sqrt(1331))**2 + 1 + sqrt(1331)*2 + sqrt(1331)).\nAnswer: -198*sqrt(11) + 8046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 8:14 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23383, 93706, 210911, 374998, 585967?\nAnswer: 843818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j - 48 + 0 = -15*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -7. Let f(g) = -603*g + 70*g + 529*g. Let n(s) = 7*s. What is v*f(h) + 2*n(h)?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**7\/1008 + k**6\/240 - k**5\/30 - 3*k**2. Let v(g) be the third derivative of p(g). Is v(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 plus -211.69387?\nAnswer: -230.69387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-160 + 10)\/10 + (92 - 73)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275)*2*6.\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*(q**(-2\/7)*q)\/q*q))**(-45))**(1\/21)\/(q*q*q**(-2\/17)*q**(-5)*((q*q\/((q**1*q)\/q)*q)\/q)**(-1\/12)) assuming q is positive.\nAnswer: q**(47297\/9996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 52731484 + 19853.\nAnswer: 52751337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 182894*f**2 - 1399*f**6 + 182820*f**2 - 365885*f**2 + f**4 wrt f?\nAnswer: -167880*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d + 24. Let c be b(8). Let g = -43 + c. Is (1 - -4) + g + 491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*v**2 + 47*v**2 + 13*v**2 + 12*v**2 - 103*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -13 - 41. Suppose b + 29 = 5*d - 3*r, 4*r + 46 = 5*d. What is the highest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 89 = 199. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -32 + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 836 is divided by 402.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010717 to 5 dps.\nAnswer: -0.01072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -20598318 divided by 3433053?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let w be 42\/(-84) + (-18)\/(-20). Which is greater: w or -800?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/11?  (a) 4  (b) -0.1778  (c) -3  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 268, -4, 10, 0 in descending order.\nAnswer: 268, 10, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {b: 2, z: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 222767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (783\/(-29))\/(-9)*(-612)\/(-27)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3355 is divided by 53.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o**3 - 40*o**3 + 23*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1017\/(-15))\/((-8)\/(-10)) + -18 + (-994)\/(-56).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/30 - (-21)\/60. Let s(d) be the first derivative of -4*d - 2*d**2 + z*d**4 + 1\/3*d**3 + 5. Factor s(p).\nAnswer: (p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30819788 divided by 4.\nAnswer: -7704947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from snnssnn. Give prob of sequence sns.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(2*(-2)\/(-12)*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -n**6\/40 - n**5\/12 - 7*n**4\/72 - n**3\/18 + 6*n**2 + 2. What is w in z(w) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 26\/(-7) + (-4)\/14. Let t be 1*2\/b*-8. Suppose s = -v + t*s + 2, -5*s = -10. Solve -3*q = -q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*g**2 + 7*g**3 + 25*g**2)*(-721*g + 827*g + 879*g) + (-2*g**2 + 2*g**2 + 2*g**2)*(2*g**2 + g**2 - g**2) - 2*g**4 - g + g.\nAnswer: 6897*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((1*(2*sqrt(7))**2 - (sqrt(21)\/sqrt(3)*1)**2) + 5 - (1 + sqrt(1008) + (sqrt(7) - -1*(sqrt(7) + 0)) + -5)).\nAnswer: -60 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**2\/7 + 769*f + 5604468\/7 = 0.\nAnswer: -893, 6276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6453317.\nAnswer: 13, 23, 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -226951 and 14.\nAnswer: -3177314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(539)*-1 + sqrt(66)\/((sqrt(36) - sqrt(576))\/sqrt(6)))*3)**2.\nAnswer: 45056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y**4 + 4*y**5 + 3*y**4 + (-y**4 - y**4 + y**4)*(-15 - 42*y + 14 + 9*y).\nAnswer: 37*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ysys when four letters picked without replacement from {f: 3, y: 4, s: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 51808698 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: Round -140.80452 to 0 decimal places.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 827.728208 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 12. Let a(i) = -i**2 + 3*i - 3. Let n be 17 + (-2 - (-4)\/4). Let x(v) = -6*v**2 + 16*v - 16. Let j(o) = n*a(o) - 3*x(o). What is j(h(u))?\nAnswer: 2*u**2 - 48*u + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.28 - -9.78. Let j = g - 12. What is j rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*(o\/o**7*o)\/o)**(-29)\/((o*o**(4\/7))\/(o**(-2\/7)*o)))**(-7\/9) assuming o is positive.\nAnswer: o**(-806\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m - 6. Suppose 3*f - 47 = -f + 5*r, -3*f - 2*r = -18. Let b be q(f). Suppose -b*j + 57 = -1. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**5 - 8*s**4 + 276*s**3 - 760*s**2 + 734*s - 240.\nAnswer: -2*(s - 8)*(s - 1)**3*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -80.3, 36, -0.3, 0.2?\nAnswer: -80.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d + 19. Let q be o(9). Suppose 12*t - 11*t = 9. Let h(c) = -2 + 5*c + 4*c - c**3 + 1 - 16*c - t*c**2. Determine h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i + 4*c + 25 + 11 = -8*i, 2*c + 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/1960 and -43\/1208340.\nAnswer: 2416680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 351 divide 1940328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 7850*c - 7826*c - 3*c**3 + 0 + 2*c**2 + 8*c**4 + 0 in the form o*c + i*c**2 + b*c**4 + d + x*c**3 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 762866 and 1986.\nAnswer: 757525938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 113 - 110. Let d(l) = 3*l**2 + 1 + 0*l**3 + 4*l**3 - 3*l**3 - 2*l. What is the units digit of d(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + c + 538 = 0, 2*l + c + 4*c = 336. Let f = l + -49. Calculate the greatest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -11*b**2 - 114*b + 11. Give x(-13).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5*-3269932\nAnswer: 16349660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4070 and 990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -125, -455, -1105, -2183?\nAnswer: -3797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 4)*(3*f + 3*f - 4*f) - 11*f - 18 + 18 + 0 + 0 + f + 3*f - 2*f + f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 869, 1742, 2619, 3500, 4385, 5274, 6167?\nAnswer: 7064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 2*d. Suppose 2*h - 8 = -d. Suppose 0 = 2*n - h*n. Solve n = 2*s + 8 - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t - 3*t + 6*t)*(1 - 2 + 0 + (-2 + 0 + 0)*(-2 - 1 + 4) + 2 - 3 + 0 + 0 + 2 - 1 + 4 - 1 - 1).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 377660 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-2356 - -2280) + 1 + 150\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*n = 18. Suppose 0*a + n = a. Calculate the remainder when 10 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/93 and ((-520)\/(-6448))\/((-2)\/(84\/(-99))).\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(-2*sqrt(80)))\/(5*(sqrt(8) + sqrt(32)\/sqrt(4))*-6).\nAnswer: sqrt(3)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 239*g**3 - 4*g - 70.\nAnswer: 1434*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153021?\nAnswer: 3, 11, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**2 + 0*d**2 - d**2)*(-152 + 20 - 150) + d**2 + d**2 + d**2.\nAnswer: -561*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.745644801 rounded to 4 dps?\nAnswer: -16.7456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -s - 4*s + 2*y, 4*y - 1 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4272)\/(-2314) + (-2)\/(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 7, o: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2. Let n(o) = -15*o. Let h be n(-1). Suppose -k = 2*k + h, u - 4*k = 22. Let t(x) = -x - 10. Calculate u*t(w) + 11*s(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3528438 divided by 588073\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561168 is divided by 11951.\nAnswer: 11422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*g**3 + 5*g + 3*g**3 + 44*g**2 - 11*g - g**3 + 4*g wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 35) + 12 + -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3229495*j + 519439 wrt j?\nAnswer: -3229495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 8*b**2 + 12*b - 9. Let p be d(-3). Let x(z) = z + 14. What is the tens digit of x(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, h: 3}. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-12) - (1 + -1 + 2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 30*l + l**3 - 2*l**3 - 48 - 54*l - 22*l**2. Let w = -31 + 49. Calculate the smallest common multiple of n(-21) and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 2*z. Let p be c(2). Let o(b) be the second derivative of 0*b**2 + 1\/10*b**5 - 1\/6*b**4 + p*b**3 + b + 0. Determine n, given that o(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-9))\/((-36)\/972).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28617 - 6.019.\nAnswer: 28610.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((0\/(-5))\/1)\/(-2) - -3. Suppose c*z + 244 + 46 = 5*o, -2*z - 160 = 5*o. Which is greater: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3879, 15222, 34019, 60264, 93951, 135074, 183627?\n\"Answer: -c**3 + 3733*c**2 + 151*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -v + 2*s + 2, 4*s + 11 = v. Is 35 a factor of v\/(-5) - (-1392)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*l - 9 - 36*l + 79*l)*(88*l**2 - 173*l**2 + 34*l**2).\nAnswer: -765*l**3 + 459*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*p = -5*c - 99*p + 69, 0 = c + 2*p - 6. Let u(w) = w**3 - 12*w**2 + 2*w - 20. Calculate u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + p - 10 = 0, 3*t = 5*p + 141 - 125 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2. Let d(q) = 9*q - 7. Let y(n) be the second derivative of -4\/3*n**3 - n + 3*n**2 + 0. Let r(u) = 6*d(u) + 7*y(u). Give r(p(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 519 and 1737266?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127848 = 9*p - 458517. Round p to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - b + 24 = 3*b, 5*b - 10 = 0. Suppose 3*z - s - 242 = 0, -4*s = 2*z - 0*s - 152. Calculate the greatest common divisor of z and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-3\/5)*d*d*d)\/(d*d*d*d**2*d))**21 assuming d is positive.\nAnswer: d**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 2*h + 1280, 0 = -24*h + 28*h - 16. Is k a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((-10)\/6) - -1. Suppose -12*u = -9*u + 6. Which is the third biggest value?  (a) 5  (b) z  (c) 1  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.33 - 1.33. Let b be (-1)\/2*(-12)\/(-6). What is the nearest to 0 in b, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 273 - 124. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -664250 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, x: 1, w: 2}. Give prob of sequence xww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*m + 5*m - 5*m)*(4723*m + 2*m**3 - 112*m**4 - 4723*m + 2*m**3).\nAnswer: 896*m**5 - 32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -310 = 211*i + 238 + 85 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 15*o**2 + 15*o + 12. Let u be x(-14). Let m be ((-6 - -3) + u)\/(2\/(-2)). Solve 6 = -m*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1.5 times -0.12815\nAnswer: 0.192225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k**2*v + 1031*k**2 - 5*k*v - 2*k - 12664763*v wrt k.\nAnswer: -4*k*v + 2062*k - 5*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 59 and 14219.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -0.4  (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.2, -8, 0.2, 1\/2, 33, -3 in decreasing order.\nAnswer: 33, 1\/2, 0.2, 0, -0.2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dpj when three letters picked without replacement from {d: 1, j: 1, h: 1, k: 1, p: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 1862620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.052 - 2.052. What is the fourth biggest value in 0, q, 2\/11, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -755 - -754.186. What is x rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.512709m to millimeters.\nAnswer: 9512.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 15*j**2 + 18*j - 705. What is the hundreds digit of l(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -375*b**4 - 22960*b**3 - 300873*b**2 + 165496*b - 20880 = 0. Calculate b.\nAnswer: -1044\/25, -20, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 7*b**2 + 8*b - 3. Let v(g) be the second derivative of -g**3\/6 - 3*g**2\/2 - g. Let m be v(-9). List the prime factors of d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/4 + 20003*p\/4 + 35273329\/2.\nAnswer: -(p - 23062)*(p + 3059)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1  (b) 0.1  (c) -18  (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/40)\/(189\/30)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**4 + 148*j**3 - 900*j**2 - 9828*j + 10584.\nAnswer: -4*(j - 21)**2*(j - 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3*c**2 + 2. Let a(n) = 1 + 4 + 4*n**2 - 2. Suppose -12*g + 9*g = 6. Let q(x) = x**2 + 3*x + 6. Let o be q(g). Determine o*a(t) - 5*y(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -21*c**2 - 46*c + 127. Let b(f) = -3*f**2 - 7*f - 1. Calculate -6*b(a) + l(a).\nAnswer: -3*a**2 - 4*a + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2564, -5472, -8376, -11276, -14172, -17064?\n\"Answer: 2*x**2 - 2914*x + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4643696 to the power of 1\/2, to the nearest integer?\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-3)*(-9)\/(-48).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000915 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/5, 0.2, 1, 0.73?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 8358*d - 91926. Calculate i(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 12:02 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 624 divided by -1\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + -14. Let f be (-220)\/h + 22\/(-77). Let u = 16 + f. Sort u, -5, 7.\nAnswer: -5, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.73 + 0.13. Let l = -2 - t. Let n = l - 0.6. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 7*o + 3 + 0*o + 5*o. Let p be b(2). Let g(c) = 10*c**3 + 13*c**2 + 10*c. Let m(s) = -7*s**3 - 9*s**2 - 7*s. What is p*g(a) - 7*m(a)?\nAnswer: -a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 1.91?\nAnswer: 0.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 4788 = -8*o. Let z = o + -547. What are the prime factors of z?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110000 (base 2) in base 14?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 171 and 25365?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-24) + (-4166)\/2. Let w = d - -2061. Find the common denominator of w and -17\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -6*y**7\/7 - 7*y**5\/5 - 45*y**3 + 119. What is the third derivative of w(c) wrt c?\nAnswer: -720*c**3 - 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 68 - 64. Let y(o) = -2*o + 2. Let u be y(-6). Is 24 a factor of (r\/6)\/(u\/2016)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.84 + -1.14. Let w = -5.2 + y. Sort 4, -3\/10, w in ascending order.\nAnswer: -3\/10, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/3)\/(12\/(-18)). Suppose 4*g - 4*x - 38 = g, c*g + 13 = -5*x. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -421 - -242351?\nAnswer: 241530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5952)\/868*(-3)\/12*14. Sort 3, -4, -21, a, -3 in decreasing order.\nAnswer: a, 3, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*f + 200*f - 85*f - 74*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -4*g - 79. Let i be d(-21). Suppose f - 9 = -4*b + 9*b, -5 = i*b. Solve 4*j - 11 = -f*y + j, 0 = -5*j - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-15)\/(-2))*45\/180?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 35, 60, 55, -4, -141?\n\"Answer: -4*v**3 + 9*v**2 + 26*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = m - 28, m - 2*m + 20 = 4*v. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + ((0 + 7 - -44 - 9) + -8 - 14)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -106716 less than -1854847138?\nAnswer: -1854740422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 6:16 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g - 4. Let r be n(2). What is the common denominator of (-1)\/((-20)\/(-146)) - r and ((-7)\/(-4))\/(-1*4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 11*h**2 - 4*h + 5. Let q be o(-10). Let v = 80 + q. Solve -v = l - 6*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 11*d**3 + 7*d**2 + 35. Let k(x) = 5*x**3 + 4*x**2 + 17. Let u(y) = -4*b(y) + 7*k(y). Differentiate u(m) wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 85 = -5*w, 0 = -5*w + 43*l - 40*l - 47 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 1. Suppose 0 = -h - 4*h - 5*v, 2*h = 4*v - 6. Determine n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35537 = -1062*x + 26059 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yw when two letters picked without replacement from yywypypypwpppppyyy?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-14)*(-14)\/6. Let y = 3 - 3.4. Which is the third biggest value?  (a) v  (b) 0.1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 116907\/860 + 67\/215. Let f = -136 + i. Put f, -0.12, 11 in ascending order.\nAnswer: -0.12, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, s: 6, e: 4}. What is prob of picking 2 r and 1 s?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = r + 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5619207 and 33?\nAnswer: 5619207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of z**6\/24 + z**5\/45 - z**4\/8 + z**3\/9 + z**2\/2 - 9*z + 44. Let o(s) be the second derivative of t(s). What is g in o(g) = 0?\nAnswer: -1, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -491381 (base 12) to base 16\nAnswer: -1211d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1201, 1062, 923, 784?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from glrik. Give prob of picking 1 r, 1 k, 1 i, and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7956 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9.47 or 271.7?\nAnswer: 271.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 16 = -p + 4, 0 = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 1. Let g(b) = -22*b - 8. Let k(h) = -g(h) - 3*x(h). What is the first derivative of k(r) wrt r?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334685516 is divided by 2349?\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 379 - 373. What is the highest common factor of r and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + t + 1. Suppose 0 = -5*v - 1 - 9. Let i be (-30915)\/687 + 220\/5. Let n(c) = -2*c - 2. Determine i*n(r) + v*f(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1623940 * -7\nAnswer: 11367580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/s**(-1\/3)))\/s*s**(-2))\/(s*s**4*s*s**(-5)) assuming s is positive.\nAnswer: s**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d. Let m(h) = 6*h**2 + 215*h. What is m(l(k))?\nAnswer: 24*k**2 + 430*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/((-400)\/(-72))*-5. Let h be (-2 - (-69)\/39)*(v + 10). Are -0.4 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -3, 859, -5, -1, 0.06 in ascending order.\nAnswer: -5, -3, -1, -0.4, 0.06, 859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -81*s**2 + 2025*s - 1. What is x(25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*l**5*z**3 + 16*l**2*z**3 + 45*l + 2*z**3 wrt l?\nAnswer: 180*l**3*z**3 + 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1907365 and 23815?\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f + 1. Let u(h) = 8. Calculate -2*m(v) - 2*u(v).\nAnswer: 2*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of -z**7\/2520 - z**5\/10 + 8*z**2. Let k(o) be the third derivative of l(o). Let n(d) = 5*d. Give k(n(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 15*s**2 - 43*s + 79. What is i(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - y**2. Let n be g(-2). Sort 0, n, -2 in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.4 + 10.1. Let w be 318\/48*2\/(-1). Let k = 359\/28 + w. Which is the third smallest value?  (a) k  (b) 5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21839.058 months to years.\nAnswer: 1819.9215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -8*r**2. Let b(q) be the first derivative of -q**3\/3 + 106. Determine b(y(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 - 14. Suppose -44 = -3*r - f + 47, -5*r + 3*f = -133. What is the remainder when r is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-24)\/(-26))\/(-12))\/(-2)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 4*o**2 + 4*o + 2. Let z be i(-2). Suppose 2*x = p - 0*x - 13, 3*x - 3 = -3*p. Suppose 0 = -r - p + z. Sort r, 1, -2.\nAnswer: r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 30*f**2 - 298*f + 944. Determine j(11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -200*v - 414. What is w(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 22*i - 269. Give g(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1219041 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -23)\/(-4)*-1. Suppose 0 = -4*v + 4 + 8. Suppose v*r - 4*f = 6, 3*r - f = -3*f + o. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.8 - 1. Let f(s) = 3*s**2 - 37*s + 49. Let i be f(11). Which is the biggest value?  (a) n  (b) 1\/5  (c) i  (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 12:21 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - a**2 - a. Let s(n) = -5*n**3 + 18*n**2 + 17*n. Let p(o) = -s(o) - 6*v(o). Let i be p(-11). Solve 2*t + 8 = -i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*r**3 + 30 + 32 - r - 16*r**2 - 62 + 4*r**3.\nAnswer: -92*r**3 - 16*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -157, 794, 22 in decreasing order.\nAnswer: 794, 22, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 250*b - 141*b - 43*b + 535*b + 27045 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 divided by 5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3931, 4693, 5463, 6241, 7027, 7821, 8623?\n\"Answer: 4*h**2 + 750*h + 3177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 11*t**3 + 3*t**2 + 3*t - 3. Let r(u) = -23*u**3 - 7*u**2 - 7*u + 7. Calculate 7*g(d) + 3*r(d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 12 = 3*b. Let p(y) = -81*y + 5. Let l(w) = -183*w + 12. Let r(j) = 4*l(j) - 9*p(j). Calculate r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 2.8. Let z = 0.11 + -8.11. Let q = -8.3 - z. Which is the smallest value?  (a) q  (b) -4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (78*n**2 - 8*n**4 - 78*n**2)*(0 - 4 + 1).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1031133 (base 5) to base 14.\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1331) + -1 + sqrt(1331))**2 + 4*sqrt(99) + -3.\nAnswer: -32*sqrt(11) + 5322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**5 - 234*c**4 - 6486*c**3 + 20882*c**2 - 21360*c + 7200.\nAnswer: -2*(c - 1)**3*(c + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 0 + 14. Let t(d) = -6*d + s*d - 10*d**2 + 5 - d**3 + 2*d**2. What is the remainder when 41 is divided by t(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(-16)\/b)*b)\/b*b)\/b**(-2\/9)*b**(-1\/14)\/(b**1*b) assuming b is positive.\nAnswer: b**(2035\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*a*j*p**2 - a*j*p - 551*a*j - 17160*a*p**3 - 44*a*p + 79*j*p**3 + j*p - 9*j wrt p.\nAnswer: -6*a*j - 102960*a*p + 474*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 12*b - 29. Let w be 6 + (-1)\/(6\/(-12))*1. Let g be i(w). Solve -d + 6 = -g*y - 0*d, 5*y + 20 = 5*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/5))**(-6\/5)\/(l\/((l\/(l*l\/(l*l\/l**(3\/23)))*l)\/l*l)*l**(-22)) assuming l is positive.\nAnswer: l**(12874\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -365*t + 9396 = -353*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/((-28)\/(-168)*-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/((-2940)\/5290) - (-4)\/(-6) and 123\/20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of 0*u**5 + 0*u**6 + 0*u**7 + 1\/6*u**4 + 0*u**3 + 0*u**2 + 0 + 10*u - 1\/14*u**8. Find the third derivative of y(i) wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112110011 (base 3) to base 14\nAnswer: -3ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-72)*-6)\/(((-99)\/11)\/2484).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 87\/4 of a kilogram in grams?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -1\/5 - 1\/5*p**2 - 2\/5*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1022 + -608. Let c be (w\/(-33) - -8) + 6. Solve -14\/11*t**2 - 60\/11*t - c = 0.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/6547508 and -53\/476.\nAnswer: 779153452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-36))\/(34\/(98736\/(-44))).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 72 + -16. Suppose 4*v - 8*v + k = 0. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + sqrt(3) + sqrt(3) + -5)**2 + (1 + -2*sqrt(9)\/sqrt(3))**2.\nAnswer: -179 + 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1883 and -1938 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2715, -5487, -8313, -11199, -14151, -17175, -20277?\nAnswer: -23463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - h = 4, -2*z - 4*h - 6 = 0. Suppose -5*t + 19 + 6 = 0. Solve 10 = 5*v - z*f, -t*v = -0*v + 4*f - 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -749266336*o**4 + 60610997 wrt o.\nAnswer: -2997065344*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-32)\/(-6) - (-6)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/9 + 19*p**2\/9 - 2*p.\nAnswer: -p*(p - 18)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-2) - (1 - 5). Let l = 2583 + -2582.7. What is the closest to 0 in -3, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 17*z - 23. Let p(v) = -6*v**2 - 85*v + 114. Let s(y) = -11*i(y) - 2*p(y). Let f be s(-10). What is the greatest common factor of 59 and f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, 2, -3\/5 in decreasing order.\nAnswer: 2, 0, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16b (base 14) to base 8.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*y + 322812 - 319778 = 0 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nlllzzlzlldzlndddz.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -5\/8  (b) 17  (c) 1\/72  (d) 4  (e) -0.3  (f) -2  (g) -0.7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -85135, -170379, -255623, -340867, -426111, -511355?\n\"Answer: -85244*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -7484 and 12272.\nAnswer: 4788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k + 212 - 196 = 0. Let v(s) = -4*s**2 - s + 1. What is v(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**3\/7 + 72*d**2\/7 = 0?\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 22536 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: What is the nearest to -1 in 3, 589, -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -12043*u**2 - 48*u - 7. Let x(f) = 30*f. What is x(h(w))?\nAnswer: -361290*w**2 - 1440*w - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**2 - 2*t + t**3 - 513 + 526 + 14*t**4 - 3*t**4 as h*t + u + j*t**4 + z*t**3 + s*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1355 + 1360. Factor 3\/7*n**h - 3*n - 6\/7*n**4 - 6\/7*n**3 + 24\/7*n**2 + 6\/7.\nAnswer: 3*(n - 1)**4*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(153) + (sqrt(153) + 0)*1.\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 104378658*x**4 - 21*x**2 + 2030480*x.\nAnswer: 2505087792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*f**2 + 27*f - 4*f**2 - 25*f in the form k*f**2 + u + z*f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -164 in -3.1, -3, 3?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x + 144 = 56. Let b(p) be the third derivative of 0*p + 0 + 0*p**5 + 0*p**x + 1\/105*p**7 + 13*p**2 + 7\/6*p**3 + 0*p**6. Differentiate b(v) wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1622 = -316*x - 61*x - 114. Determine q so that 18\/7*q**2 - 96\/7*q**3 - 6\/7*q**x + 300\/7*q + 192\/7 = 0.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/30 + 136\/(-120). Let q = -16 - -31. What is the remainder when 48 - (h*8)\/(-2) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 - -7)*(31 - -161538) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 371, 1228, 2905, 5678, 9823?\nAnswer: 15616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 0 = -12. Solve 0 = -r + 1 - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1140 (base 6) in base 10?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -760.5 + 761. Which is the nearest to -2\/11?  (a) -0.1  (b) z  (c) -5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-690))\/((-2)\/84) + 8\/20\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 162*t**4 + 7766*t**3 - 98328*t**2 - 219464*t + 13920 = 0.\nAnswer: -58, -2, 5\/81, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v + 51 - 135 + 48 - 4*v as n + g*v and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of w**5\/15 + w**2. Let j(r) = 5*r**2 - 2. Let k be j(-4). Let p(c) = -k + 2*c + 78. Give q(p(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9490000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 3\/2  (c) -0.43  (d) -32  (e) -0.03  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -73, -33 in descending order.\nAnswer: -3, -33, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i - 2*i + 0*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 4*k + 5. Let r = 12 - 17. Let g be l(r). Let a be -3 + 1 - (-26)\/g. What is the smallest value in -0.5, a, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 16) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 2, -2157, 2\/17, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 17063 = -2*d, -51601 = -4*d + 2*i - 17451. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-110)\/(-7) - 34\/(-119). Let a be 39\/13 + (-46)\/x. Suppose -5*r = -3*g - 0*g - 15, -2*r = 5*g - 6. Is a less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -14. Is 380 - (-4 + q - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1558718, -3117450, -4676186, -6234926, -7793670?\n\"Answer: -2*z**2 - 1558726*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -211, -193, -141, -37, 137, 399, 767, 1259?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 11*v**5 + 3*v**2 - 13*v. Let g(y) = 11*y + 5*y**2 - 12*y - 6*y**2. Let m(t) = 3*g(t) + u(t). Find the second derivative of m(s) wrt s.\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w = -10*w - 4*z - 2, 0 = -5*w + z + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -80*a**3 - 2*a**2 - 13*a - 11. Calculate j(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*s = -28*s + 156 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -0.4  (c) -149\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -3\/23117 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15330 + 34833. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1605392*b = 1605813*b - 55993 for b.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - o - 1. Let w(m) = 5*m**3 - 27*m**2 - 48*m - 15. Let d(g) = -5*j(g) + 5*w(g). Determine p, given that d(p) = 0.\nAnswer: -1, -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 11*j**2. Suppose -44 + 19 = -5*v. Suppose 13 = a + v. Let i(o) = -4*o + a*o - 2*o. Determine g(i(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -33*w + 90. Let p(g) = 42*g - 91. Calculate -4*p(u) - 5*s(u).\nAnswer: -3*u - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 27535495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c**3 - 47*c**2 - 20*c - 1. Calculate z(16).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g - 20. What is k(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - 18\/864*582.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 93, -0.4 in increasing order.\nAnswer: -0.4, -1\/7, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 33*q + 329. Let w be p(23). What is the highest common divisor of 34 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12805000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 1.09402.\nAnswer: 2.18804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvyk when four letters picked without replacement from {i: 2, e: 1, k: 1, v: 5, y: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*d**5 + 7231*d**2 - 27*d**3 + 77*d**3 - 27*d**3 - 29*d**3 - 28*d**5 + 1 + 4*d**4 wrt d?\nAnswer: -1080*d**2 + 96*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/5, 2.11, 1, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5938 + -5823. Which is smaller: y or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 188 + 44 = 0. What is the common denominator of -7 - -7 - 178\/h and 2\/(-2) - (-114)\/20?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 11*x - 6. Let b be u(-10). Solve 3*s = b*z + 27, 4*z + 0*s = -3*s + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1616 and 62115?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (26 + 120 - (-2 - 0 - (5 + -11)))\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -44*z + 489. Calculate n(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3407375 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 625 + -666.1. Let o = c - -41. What is the fourth smallest value in 7, 5, o, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46318?\nAnswer: 2, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 7*j**2 - 1. Let q be p(1). List the prime factors of 3\/q - 15\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 11*z - 29. Let m be g(-6). Which is the nearest to 1\/11?  (a) -0.2  (b) -4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6964 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*z + 63*z = 2. Let n be 1\/1*z + (11 - 10). Suppose 5*y + n = -23, 0 = 3*r - 2*y - 163. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.519 - 0.5746. Let u = z + 3.0556. Which is the biggest value?  (a) u  (b) 1  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5*a = -36, 4*a + 20 = -52*w + 53*w. Put 2, 9, w, 18, -3 in descending order.\nAnswer: 18, 9, w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 5*i - 989, 4*w + 5*i + 183 = -836. Let s = w + 369. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 5  (b) 2.1  (c) -0.262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + p + 5. Let q(t) = -782*t**3 - 207*t - 1035. What is -2*q(i) - 414*v(i)?\nAnswer: 1150*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y**3 + 156*y**2 + 155*y + 79. Calculate l(-51).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 35*t + 437. What is s(-26)?\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 315*t. Let a(z) = -24*z - 375. Let v be a(-15). Let b(o) = 45*o. Give v*b(j) + 2*p(j).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1857*j + 251*j - 167450 = 133994 for j.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (84\/(-56))\/((63\/(-4))\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7634268 (base 9) to base 14.\nAnswer: -789216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -10*t**2. Let i(n) = 22*n + 15. Let g(q) = 45*q + 35. Let c(m) = 3*g(m) - 7*i(m). Calculate y(c(o)).\nAnswer: -3610*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167700 is divided by 16767.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*i - 4655 = 13*i + 20*i + 30*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**4\/4 + 2*q**3 - 7*q**2\/2 + 8*q + 4. Suppose -a - 4*l = 7, 0 = 5*a - 1454*l + 1450*l + 35. Give x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57728092 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2973900\/19 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 544 - 543. What is the second biggest value in 0.017, 0, c?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b8 (base 14) to base 9.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -1 + 11, -3*o + 626 = 4*i. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -18 + 48 - 12447*t - 24. Let p be d(-2). What is p rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 2. Which is the smallest value?  (a) -4  (b) 0.2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 530 and 2014?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*a + 4*a + 3*a)*(-1 + 1 - 2*a**2) - 3*a**2 + 3*a**2 + a**3 + (10*a + 2*a - a)*(-15*a**2 - 14*a**2 + 9*a**2).\nAnswer: -221*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u - f - 721 + 713, -f = -4*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -20*y**2 - 2*y + 2. Let n be z(-3). Let l = n + 1202\/7. Which is the third smallest value?  (a) l  (b) 0  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -68*z**3 + 108*z**2 + 2840*z - 8736.\nAnswer: -4*(z - 4)*(z + 7)*(17*z - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -36*t**2. Let k(u) = 5*u**2. Let c(n) = -5*f(n) - 40*k(n). Let h(q) = -10*q**2 + 5*q**2 + 6*q**2. Give c(h(w)).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pcpkvcpppvvkvveo. What is prob of picking 1 k, 1 v, 1 p, and 1 c?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000190954553 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -6. Suppose 3*f - 55 = 2*d, -3*d + 58 = 5*f - 2. Let g = f + -11. Calculate the remainder when g is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6 + 245*l - 7 - 234*l. Let c(i) = 10*i - 2. Let b(u) = 2*c(u) - 3*y(u). Give b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7214.\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.31 in -2\/9, -3, -1, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - 7*q**2 + 4*q**2)*(533 - 2048*q**3 + 2049*q**3 + 217).\nAnswer: q**5 + 750*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(-21 - 27 + 14)*(4 - 4 + w).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 19. Let i = x - -6. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41.7568 + 0.0568. Let w = -1.3 + z. Let n = 42.9958 + w. Round n to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*o = -31, 35 = 17*h - 12*h - 5*o. Suppose h*u = 8*u + 4. Solve -u*d - 12 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + 7*x - 22. Let h be q(-9). Is 48 a factor of ((-3)\/((-30)\/16))\/(h\/(-840))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17357 and 53?\nAnswer: 919921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**2. Let l(y) be the third derivative of 37*y**4\/24 + 147*y**2. Calculate o(l(r)).\nAnswer: -2738*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**4 - 4*d**2 + 4*d**2)*((7 - 5 + 4)*(-1 + 1 - 4) - 4 + 4 - 1).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -36550000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4287.\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1632 divided by 17\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183956 is divided by 292?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 23 - 10 - -5 - 16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 191, -6\/5, 8, -4, -0.076?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 6) + 0 + 3 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25187?\nAnswer: 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 295182 times 5?\nAnswer: 1475910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/10*40\/76. Let t = 65\/38 + h. Which is the nearest to 57?  (a) 0.2  (b) -5\/6  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1972.24 litres?\nAnswer: 1972240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 986 by -81.\nAnswer: -986\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*j**2 + 33*j - 10*j**2 - 21*j - 23*j.\nAnswer: -21*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01533867489 to 4 dps.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -89*y**2 + 6*y - 6. Let b(l) = -6142*l**2 + 415*l - 415. Let h(f) = 415*a(f) - 6*b(f). Let q(t) = 3*t. Determine q(h(x)).\nAnswer: -249*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 5:33 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/7)\/((-88)\/(-3388))\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 20*o**3 - 17937215*o**2 + 215244420*o - 645731100 = 0.\nAnswer: 6, 3587395\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 137, 150, 163?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4050)\/(-12))\/(-15)*8\/(-24)*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/160 and -25\/844252.\nAnswer: 33770080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 197*x + 84. What is the tens digit of i(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-1856)\/5800 - 4\/(-10))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, j: 1, w: 2}. What is prob of picking 4 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.7  (b) 1  (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 412 and 400?\nAnswer: 41200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -218096949*i**3 + 2*i**2 + 8827494*i - 4?\nAnswer: -1308581694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -3 - 4) + 1*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 18*o - 54. Does 18 divide f(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41 + -37. Suppose 5*p = -4*o - 9 - 4, -o + 3*p = -1. Which is the smallest value?  (a) 3  (b) o  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -63*q**3 - 4*q + 4. Let f(g) = 944*g**3 + 59*g - 59. Determine -4*f(u) - 59*j(u).\nAnswer: -59*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 + 1012101211222?\nAnswer: 1012101211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**5*q*q*q**(-6)*q\/q**4*q\/(q\/q**0*q))\/(((q\/q**0*q)\/(q\/q**(-1\/3)))\/(q*q**1\/q)**(-42)) assuming q is positive.\nAnswer: q**(-137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25851.642 + 25845. Round z to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.9 + -0.6. Let o = -226 - -3840\/17. Let t = -7 + 7. Which is the nearest to t?  (a) m  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48554 - 48529. Let n = 5047\/17 + -297. Put -2\/9, n, r, 1\/2 in decreasing order.\nAnswer: r, 1\/2, n, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15614\/453 > 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 107826452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 655458194 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65 + 107. Suppose 3*g - 2 = 5*q, r = -0*g + 3*g + 3*q. Let y be (g\/3)\/3*3. Solve y*d + 5*j = -32, d = 2*d - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 - 4*y + 3. Let m be f(2). Let w(t) = 7 + 2*t**3 + 2*t**3 - 3*t**m + 5*t**2 - 3. Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/1443 and -28\/9344609.\nAnswer: 364439751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 229, 453, 677, 901, 1125?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**2 + 6*n + 6. Let h be (380\/8 + 0)*2. Let b = -90 + h. Give q(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r*r\/r**(-13)))\/r)\/(r\/(r*(r\/(r**(-6)\/r))\/r)))**(4\/15)*(r*r**2*r*r\/(r\/r**(1\/8)*r*r))\/(r**(1\/4)*r)**15 assuming r is positive.\nAnswer: r**(-2251\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -346*c + 3155*c - 1134 + 206 - 826 + 1649*c wrt c?\nAnswer: 4458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 30 = -4*q - 0*q, h + q - 5 = 0. Suppose 0 = -b + 2*s + 10, 6*b - 2*s - h = b. Solve -25 = 5*n, 2*v + b*n = -n - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 5*q**2 + 5*q + 4. Let w(x) = 4*x**2 + 43*x - 14. Let t be w(-11). Let z(r) = -r**2 - r - 1. What is t*z(a) - b(a)?\nAnswer: -2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k + 2. Let y be x(6). Let r be (-136)\/(-40) + y\/10. Let l(p) = p + 4. Let i be l(0). Solve -3*t - 25 = 4*o, r*t + 10 = 5*t - i*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 j, and 1 d when four letters picked without replacement from jkddvjkjjjvdycjdd.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, l: 1, w: 3, d: 3}. Give prob of sequence lwed.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/3 + 230*f**2 + 19488*f - 60552.\nAnswer: 2*(f - 3)*(f + 174)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phpuphpph. What is prob of sequence hup?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 10. Let c be (-1 - -3) + (0 - 0). Suppose -c*x + n*x = 5400000. Round x to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4127609894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**4 + 288237*c**3 + 5763840*c**2 + 28817700*c.\nAnswer: 3*c*(c + 10)**2*(c + 96059)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.55 - 1.24. Let w = -72.79 - q. Let m = -68 - w. What is the fourth biggest value in 0, -0.4, 0.01, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100000021222 - 1?\nAnswer: 100000021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 518.6 - 466. Let f = 53.842 - p. Round f to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -698245 (base 10) to base 16\nAnswer: -aa785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 206387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3436350 to the power of 1\/2, to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f - 28*f. Suppose 5*h - 11*h - 16*h = f. Solve -q - 2*d + 8 = h, 3*q - 3*d - 12 = -5*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 + 581a?\nAnswer: 5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 67\/5 of a kilometer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-27 - -38)\/((-11)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of 2*b**7\/315 - b**6\/90 - b**5\/15 + b**4\/18 + 4*b**3\/9 - 25*b**2. Determine y, given that d(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*j + 436*j + 28 + 208*j.\nAnswer: 546*j + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 664464695.\nAnswer: 5, 31, 379, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312 = -3*q + 3*x + 1275, 1302 = 4*q + 5*x. Suppose d - o - 149 + 40 = 0, -q = -3*d + o. List the prime factors of d.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 3*f + 21 = 40, -p - 18 = 4*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.7 - -1.7. Let d = 7.6 + -3.6. Put 2\/13, d, r in ascending order.\nAnswer: r, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269113069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -217143*o*v + 4*o + 5954310*v wrt o.\nAnswer: -217143*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 1, u: 2, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8858567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 762.6 less than 3375266?\nAnswer: 3374503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*z - 28*z - 19*z + 7)*(-z**2 + 2*z**3 + z**2).\nAnswer: -4*z**4 + 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -72*v**5 + 32*v**5 + 70*v**2 + 20*v**5 + 26*v**5 + 50*v**3 wrt v.\nAnswer: 360*v**2 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 92?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3876 = 19*v - 3610 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 286*t + 10 = 283*t, -3*c = -2*t - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-2)*(-2 - 0). Let z be 1\/(1\/o*2). Suppose -r + 3*r = 0. Which is the smallest value?  (a) -3  (b) r  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 16, 7*l + 196 = 11*l + 2*y. Solve 3*o + c - 9 = 0, 42*o - 2*c = l*o - 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 6) + (-244)\/((-4099200)\/84175)?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - 6 - (3 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.78*-13\nAnswer: -23.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 3*h + 35 = 0, h + 33 = 3111711*i - 3111705*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 297694, 296383, 292828, 285907, 274498, 257479, 233728, 202123?\n\"Answer: -187*g**3 - 2*g + 297883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35337, 35578, 35807, 36018, 36205, 36362?\nAnswer: 36483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.7 + -4.6. Let o = -0.3 - g. Let w be 5 - (5 - 5) - 4\/2. Which is the nearest to 2?  (a) -1\/5  (b) w  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32985 < 32984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.9 + 3.3. Which is the smallest value?  (a) -2  (b) j  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -2*r**3\/3 - r. Let g(i) be the third derivative of 0 + 0*i**4 + 1\/60*i**5 + 0*i + 9*i**2 + 0*i**3. Give n(g(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 1. Let k(c) = -135*c - 3. Calculate k(b) + 4*n(b).\nAnswer: -135*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, h: 4, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10108481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w*w**(1\/3))))**48*w**(-1)*w*w*w\/(w*w*(w**8\/w)\/w) assuming w is positive.\nAnswer: w**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 11:38 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 0.113\nAnswer: 0.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y - 2995*y**2 - 2912*y**2 + 5902*y**2 + 2*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o. Let d(w) be the second derivative of -739*w**4\/4 - 59*w - 1. Give d(r(q)).\nAnswer: -8868*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/5 - 14*c\/5.\nAnswer: -2*c*(c + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (13 - (126 - (-6 - -37)))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 801455334?\nAnswer: 2, 3, 367, 363967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13021465 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 44\/5*d**2 - 24\/5*d.\nAnswer: -4*d*(11*d + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 37 + 15 + -26 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 2*k + 1002, -754 = 58*c - 61*c - 2*k. Calculate the highest common factor of c and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m + 1. Let d(b) = -b**3 + b**2 - b + 2. Let i(u) = d(u) - 2*h(u). Let k(l) = 0 + 2*l**3 - l**2 + 5*l + 0. Determine -5*i(s) - 3*k(s).\nAnswer: -s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddggd. What is prob of picking 1 g and 2 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4  (b) -3  (c) 458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/7 + 294*h**2.\nAnswer: -2*h**2*(h - 1029)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14485, -19175, -23863, -28549, -33233, -37915, -42595?\n\"Answer: g**2 - 4693*g - 9793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 4*g**7\/7 + 3*g**4\/4 + 8*g**2 + 2*g - 113. Find the third derivative of k(x) wrt x.\nAnswer: 1440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d**3 + 12*d**2 - 6*d + 28. Let i(s) = -s**3 - s. Let g(c) = 2*i(c) - z(c). What is the remainder when (-5)\/(10\/(-112)) - -1 is divided by g(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 3908156*q**2 - 3908156*q**2 + 2762*q**3.\nAnswer: 2762*q**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -250*f - 4990. Determine u(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 8 - (2 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 90906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) + sqrt(33) + sqrt(4752) + (1*sqrt(4752) - sqrt(4752)))\/(2*sqrt(396)).\nAnswer: 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-14)\/((((l**(-2\/3)*l*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/10*160\/(-3648)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 324 and 66636.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15 - -3) + 2 + 1. Let n = r - 14. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -5*f - 12 + 2, 0 = 3*q - 4*f - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8519 + 8518.5. Sort -2\/29, o, -0.4.\nAnswer: o, -0.4, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2230233 - -1?\nAnswer: -2230232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 2412663?\nAnswer: -2412664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/2))**(5\/2)\/(b**(-4)*b\/(b**(-1\/20)\/b*b)) assuming b is positive.\nAnswer: b**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/128 and -51\/8.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 448 + -445. Sort n, -20\/11, 0 in descending order.\nAnswer: n, 0, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6494 - 9454.6. What is v rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*i**3*r - 11*i**3 + 3*i**2*r + i**2 - 4*i*r wrt i.\nAnswer: -12*r - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-93 + 93 + 39*o**2)*(-2*o**2 + 2*o**2 + 2*o**2) + 2*o**4 + 70*o**3 + 26*o - 72*o**3 + 14*o.\nAnswer: 80*o**4 - 2*o**3 + 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/2 + 2949*b\/2 - 4419.\nAnswer: -(b - 2946)*(b - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -272 bigger than -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2538*b + 80520 - 235338 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**3 + 2*z**2 - 18 + 135 - 28*z - 4*z**3 - 2*z**2.\nAnswer: -z**3 - 28*z + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, r: 3, e: 8, q: 4}. Give prob of picking 1 e and 1 q.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1695 is divided by 1651?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: -23 (base 9) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -75*x - 61. Let w = -352 - -358. Let b be c(w). What is b rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*l**3 + 8*l**3 + 44*l**3 + 24*l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -781, 7, -3, -0.2, 2.\nAnswer: -781, -3, -0.2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/13)*j*j**8 assuming j is positive.\nAnswer: j**(115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3279 by 1093.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 416 + 21 = 4*y, 327 = 3*y - 2*o. Let i be (-653)\/6 - 1\/(-2). Let m = y + i. Which is the third biggest value?  (a) m  (b) -4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 430375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 4*l + 84 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l - 25*l + 6*l - 11*l - 32*l.\nAnswer: -63*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w**2 + 47*w - 115. Let o be n(-51). What is the greatest common factor of 143 and o?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 90*k - 3. Let i(g) = 523*g. Give i(p(l)).\nAnswer: 47070*l - 1569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*s + 0*s + 4*s)*(0*s + 2*s - 3*s) - 7425*s + 14851*s - 7422*s + 147*s**2 to y*s + n + r*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1*471 - (-135)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5 + -2*(sqrt(76) + -4*(sqrt(76) + sqrt(76) + 0) - (sqrt(76) + 1)*6))**2.\nAnswer: -51665 - 1768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1392 - -1452. Calculate the lowest common multiple of k and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 1094*q + 73. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16576, -32846, -49116?\nAnswer: -65386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3\/8)*b*b\/b**(-1\/18)*b*b**(-4)*b*b\/(b\/b**(-1))*b*b)**(18\/7) assuming b is positive.\nAnswer: b**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.7 - 7.7. Which is the nearest to 2?  (a) 0  (b) 3  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s - 5*w - 40, s - 62 = 2*w - 52 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/6*92568\/(-2660)*(-10)\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/12)\/(3\/(-9)). Suppose 180 = -0*d - y*d. Let a = d + 40. Sort 14, a, 1.\nAnswer: a, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 45 - 15. Calculate the remainder when x is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 141?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 325 - 189. Suppose -8536 = -77*m + 1138 + 798. Is m > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -j - 2*y, 0 = 3*j + 2*y + 8 - 3. Let k be j\/(-3) - (-56)\/12. Suppose 3*b - b = k*h + 171, 3*b = -5*h + 244. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 2*w - 14, 6*m + 3 = 3*m - 3*w. What is the units digit of m + (0 - (3 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 215.64 - 211. Let t = r + -5.04. What is the nearest to 1 in -1\/11, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -69 - -71 - (13 + -4 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 26481.267 months in centuries?\nAnswer: 22.0677225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*2\/45)\/((-3638405)\/52725 + 69)?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2390058 and 108639?\nAnswer: 2390058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -3 + 351*b**2 - 33*b + 1 - 12 - 353*b**2. Let f be a(-16). Determine o so that 0*o**4 - 16\/5*o**f + 12\/5*o**3 + 0 - 2\/5*o**5 + 6\/5*o = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -3\/5, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 145 = -3*t + 146, 0 = -4*o - 4*t - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100492?\nAnswer: 2, 7, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2. Let y(z) = -z + 15. Let s(w) = 2*w - 41. Let g(t) = -4*s(t) - 11*y(t). What is g(m(b))?\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5699\/16 - 356. Let q = -99 + 97. Let o be (24\/(-48))\/(1\/q). Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from nvvnunvvunnnunvn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1512353 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o*o**35\/o)**11\/(o\/(o\/o**(-36)))**(-9) assuming o is positive.\nAnswer: o**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307*z**3 - 5*z**2 - 1588*z**3 - 296*z**3 - 8*z**2.\nAnswer: -1577*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 18 + -2b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wczttwltltttwclctzze. What is prob of picking 1 t and 1 z?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 29*h**2 + 29*h**2 - 18*h - 2*h**3 in the form j*h**2 + b*h**3 + u + c*h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -5*a - 41 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s + 28. Let o(b) = -6*b - 61. Determine -5*h(d) - 2*o(d).\nAnswer: 22*d - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + 11*m**2 + 8*m - 2. Let n be 4*(5\/(-2) + 0). Let p be t(n). Suppose -4*r - l = -p - 21, -5*l - 21 = -4*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 24*m - 35. Let r(u) = 49*u - 74. Calculate 8*r(f) - 17*s(f).\nAnswer: -16*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 18 + 10. Let p be (5\/(-6))\/(m\/(-42)). Let h(u) = -2*u - 7. Give h(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 55187 and 556887.\nAnswer: 6125757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1109 + -1098. Let h(m) = -m**2 + 8*m - 2. Let z = 21 + -15. Let i be h(z). Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 22*s**3 + 4*s**2 - 7*s - 4. Let f(m) = -m**2 + m + 1. Determine -d(p) - 4*f(p).\nAnswer: -22*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1269*u**3 - 2*u**2 + 62*u - 653*u**3 + 1 - 617*u**3 to the form t*u + c*u**3 + o + y*u**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 12 = -2*c, 41 = -2*u + 7*u + 4*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16108 + 16122. Let x = 0.13 + -5.13. Sort x, -2\/3, q, 1\/6 in decreasing order.\nAnswer: q, 1\/6, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 89 + -93. Sort m, 6, 2 in decreasing order.\nAnswer: 6, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 2 a, and 1 e when four letters picked without replacement from {d: 2, r: 1, e: 1, z: 1, a: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 142 - 142. Let a(n) be the second derivative of b + 3*n + 0*n**3 + 0*n**2 + 0*n**5 - 1\/30*n**6 - 1\/12*n**4. Find the third derivative of a(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 8:50 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 29 = -71. Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.09389 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 9*z**2 + 50*z - 439. Let p be r(9). Solve -6 = -3*f + 5*a + p, -4*a = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzcczz. What is prob of picking 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 1:44 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -11 - -14 - (-62)\/(-22). Which is the closest to -1?  (a) 0  (b) r  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 35*q**3\/3 - 14*q - 39. Let a(w) = 7*w**2 - 3. Give -14*a(c) + 3*b(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425)*1*-6 - sqrt(425).\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208776 is divided by 1401.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1, -19, -25, -13, 23, 89, 191, 335?\n\"Answer: c**3 - 25*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 0 + 13 + 2 + -14 + (-26 - -18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 7:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.2, -195\/11, -5\/7, 2\/9, -1 in increasing order.\nAnswer: -195\/11, -1, -5\/7, 0.2, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -435 smaller than -446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -8*c + 118. Let g(j) = 11*j - 164. Let z(d) = -7*f(d) - 5*g(d). Let p(h) = 1. Give 2*p(m) - z(m).\nAnswer: -m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 2*y = -3*n + 21, n - 2*y - 7 = 0. Let p(j) = j**3 + 2*j**2 - 3*j + 25. Is p(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((-28)\/2224) + 2. Let k = w - -575\/7. Calculate the common denominator of (-5)\/(-10) + 18\/16 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19 + 31. Suppose 5*b = b + m. Suppose 0 = -4*o + 3*o + 2. Solve f - r + 5 - 2 = 0, b*r = -o*f - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 e when four letters picked without replacement from {e: 2, u: 1, h: 7}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 602\/(-198) - (-30)\/(-165).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69107994883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 3:34 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 894, 6, 0.3, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*((z**(-24)*z)\/z*z)\/z)**(-9)\/(((z\/z**31)\/z)\/z**15) assuming z is positive.\nAnswer: z**253","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l + 15 + 3*l - 3*l - 6. What is the units digit of n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from qkkk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 18\/(-30) + (168\/10)\/3. Suppose -5*u = -3*q + 123, -2*q + 3*q - 61 = -a*u. Calculate the highest common factor of q and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 6*s - 15. Let w be a(12). Let r = 611 + -520. Let h = r + w. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 - 2)*(-2*i + 0*i + 0*i + 3)*(-1 - 5 - 9) to the form y*i + v and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9447 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 0*j + 5*j)*((2*j - 2*j + j)*(-2 + 2 - 1) + 216*j - 81*j - 76*j)*(6*j**3 - 3*j**3 + j**3).\nAnswer: 696*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 21*v + 26 = 400 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 5*w - 21 = 0, 3*y = -y + 4*w + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 + 0)*(8 - 8 - 2*n**2)*(-2*n**2 + 4*n**2 - n**2) to c*n + v + g*n**4 + r*n**3 + w*n**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -21a4b - 2?\nAnswer: -21a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.08, 4, -1\/7, -1, 35?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6*0.6\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b6 - d?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + -57 + 60 + -9 + (3 - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + n = 10, -3*l + n - 3*n = -13. Suppose -w - l = -2, 4*w = x - 12. Solve 2*z = 4*f - x, 0 = 7*f - 2*f + 2*z - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**3 + 42*k**2 - 2*k + 26. Let h be s(-21). Find the second derivative of -16*i**2 + 488 + h*i - 488 - 2*i**3 wrt i.\nAnswer: -12*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u**(-16\/5)\/u)\/u)\/u)\/(u**(-1\/5)\/u))\/(u**(1\/5)\/u**(20\/11)) assuming u is positive.\nAnswer: u**(-186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2860610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2 - (475\/28)\/5 and (-693)\/54 - (0 - 2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1\/2, 3\/7, 0.1, 587, 16 in ascending order.\nAnswer: -1\/2, 0.1, 3\/7, 1, 16, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -61, -112, -151, -172, -169, -136?\n\"Answer: q**3 - 58*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11*1\/13 + 207 + -208?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0107 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133504 = -4665*w - 239696 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -9572, 136, -3 in ascending order.\nAnswer: -9572, -5, -3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23390 + 23389.9. Which is the nearest to q?  (a) 5  (b) 2\/3  (c) 1.3  (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/5 - 76\/(-95)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10440 and 2205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 211 = 4*d + g, -g = -2 - 1. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(8\/10))\/(23\/138). Suppose 4*c = -o*c + 28823. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.9 - -1.9. Let h = -0.22234 - 2.77766. What is the nearest to 1 in 0.3, h, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 75\/(-5)*((-9)\/5 + 0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -7\/3951  (b) 15  (c) -6  (d) 1  (e) 0.2  (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2406511361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**3 - 6*x**3 + 147*x**2 - 147*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1373 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6149475.\nAnswer: 3, 5, 151, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -13\/20, -8, -3473.\nAnswer: -3473, -8, -13\/20, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -29, -2, 1\/8, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*h**5 + 3780*h**4 + 7236*h**3 - 3638*h**2 - 5907*h - 1422 = 0 for h.\nAnswer: -2, -3\/7, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 11*h - 1. Let n be m(9). Let t = n - -21. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*r**3 - 11*r**3 - 8*r**4 + (r + 1 - 1)*(-3*r**3 + 2*r**3 - r**3) + r**4 + 4*r**4 - 4*r**4 as f*r + h*r**3 + a*r**4 + j + z*r**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 4. Let v be g(4). Suppose 1 = -2*c - 3, 3*c + 70 = 2*i. What is the highest common factor of i and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-28)*(238\/(-112))\/((-23)\/(-184))?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -7*v - 27. Let o be p(-3). Let u be -3*(-8 + 5 + (-8)\/o). Let b(y) = 171 + u*y - 171. Let t(c) = 3*c. Determine b(t(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*t*w**2 + 77*t*w + t - 1026*w**2 + 11*w + 6 wrt w?\nAnswer: 52*t - 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and 25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5411 = -3*c + 51937. Suppose k = 240884 + c. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-41)\/(-44) + 12\/(-66))*-24. Let z be 4\/v*15*39. Let h be (z\/3)\/(4\/(-6)). Calculate the greatest common divisor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(3 + (sqrt(325) + -1 + sqrt(325))*-3))**2 + (0 + -1 + sqrt(325) + -3*(sqrt(325) + sqrt(325)*1) + 4)**2.\nAnswer: -13110*sqrt(13) + 430630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(1216)*-1)**2 + -4 - sqrt(1216)).\nAnswer: -8*sqrt(19) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/7808 and -29\/2928?\nAnswer: 23424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 + 50*r**3 + 7*r**2 + 9*r**2 - 62*r**3 - 19*r**2.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 25*w - 6*w - 19*w. Let q(b) = 17*b + 5. Give t(q(j)).\nAnswer: 289*j**2 + 170*j + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -4*w**2 - 356*w + 2104. Give f(-94).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*y + 42*y - 64*y + 9*y + 16*y.\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 26  (b) 6  (c) 0.5  (d) -2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 3*c + 280. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 22  (b) 3\/5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/18)\/(((-1)\/(-9))\/(20\/45)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22455)\/(-998))\/(5\/(-4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -280 in 0.5, 14, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.12 + 0.04. Let t = -0.02 + w. Put 0.2, -0.5, t in increasing order.\nAnswer: -0.5, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -13 + (-11 + 26 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 335982512 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*j - 6 = -0*k, -14 = 2*k + 2*j. Let f(b) = 5*b**2 - 2*b - 3. Let o be f(k). Suppose -2*m = m - o. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 97 and 132793?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2 = -3*t + 38, 45 = -5*m + 4*t. Suppose 2*u + u = 12. Sort u, 3, m.\nAnswer: m, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -63*d**6 - 74*d**2.\nAnswer: -7560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1.776244 nanometers?\nAnswer: 0.000000001776244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 10:29 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 3*i**3 - 153*i**2 + 2376*i - 10164 = 0.\nAnswer: 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 224*q**3 + 4*q**2 + 217*q**3 - q**2 to the form p*q + g + s*q**3 + t*q**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*b**2 - 5*b**3 + 23*b**2 - 35*b**2 - 2 - b**4 to the form g*b + t*b**3 + l + j*b**4 + n*b**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(1 - (-4 - -4)). Solve -2*l - 4*p + m - 24 = 0, -3*p - 12 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13260855*d**4 - 40480302 wrt d?\nAnswer: -53043420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1700463497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27374.\nAnswer: 2, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x**2. Let f(g) = 6*g**2 + 202709*g. Give f(w(y)).\nAnswer: 24*y**4 - 405418*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/(-10))\/(-20)*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -509 - -953. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 195*o. Let q(k) = 209040*k. Determine -2*q(s) + 2145*t(s).\nAnswer: 195*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.4, 2, 1\/4, 4\/3, -824?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of c**4\/12 + c**3\/2 - 3*c**2\/2 + 15*c. What is b(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2*a = -a + 13, 5*d + 5*a = -5. Let h = 3 + 43. Suppose -4*m = -16, 4*j + 5*m - 54 - h = 0. Calculate the highest common divisor of j and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {i: 2, b: 5, n: 7, d: 1, h: 1}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 897 + -652. Calculate the greatest common divisor of i and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -325043426 or -325043429?\nAnswer: -325043426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 20789180.\nAnswer: 20789180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.983 to one dp.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n - 2. Let y(k) = k - 3. Let g be y(2). Let z(c) = 1. Let r(q) = g*x(q) - 3*z(q). Let v(p) = -1 - 5*p + 3*p - 2. Calculate -7*r(f) + 3*v(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssissiessiuni. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qemyjme. What is prob of sequence mem?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 116 (base 10) to base 2\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308 = 7*c - 14*c. Let y = c - -40. What is the common denominator of 235\/(-170) + (-1)\/y and -97\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1802)\/(-68))\/53 + 2\/(-12). What is the closest to -1 in n, -3, 0.39?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -75, -126, -185, -252?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 3\/2*o**2 + 3*o - 1\/4*o**4 + 0 + 0*o**3. Let j(c) = -19*c**2 + 5*c**2 + 2*c**2 + 10*c**2. Determine j(n(v)).\nAnswer: -18*v**4 + 36*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 656*t**2. Let v(u) = 42231*u. Give v(h(w)).\nAnswer: 27703536*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from uaxiiiuuuxixiuixxi?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46*1.4.\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvqvvvvvuw?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 205857410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + -2190348091\nAnswer: -2190348090.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.5  (b) -3\/7  (c) -939938  (d) 3  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 657 a factor of 8043651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*l**2 + 16*l**2 + 95*l**3 - 2*l - 97*l**3 to a + w*l + v*l**2 + k*l**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 255*k + 11131 = -37*k - 1781 - 12200 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50.1 + 50.4. What is the nearest to 19\/2 in l, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 94\/6 + 8\/(-12). Suppose q - 50 = -5*y. What is the remainder when 20 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*h - 34 + 2 = 0. Suppose 3*i - 2*i = -5. Which is the second biggest value?  (a) i  (b) h  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(-2*sqrt(2)) - sqrt(4))\/sqrt(2).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 9:50 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1157 + 1149 - 2306 + 2697*v**2.\nAnswer: 2697*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*1\/(-3))\/(18\/17982*37).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + a + 2*a**2 - 5*a**4 + 5*a**4 + a**4 - 3*a**2 in the form g + o*a**4 + p*a + i*a**3 + c*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k - 95. Let o(i) = i + 96. Let m(q) = 5*o(q) + 4*t(q). What is the hundreds digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18400 and 239000.\nAnswer: 21988000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -316 + 320. Find the second derivative of 3*i + 6*i**3 + 83*i**f - 30 + 87*i**4 + 51*i**4 - 6*i**3 wrt i.\nAnswer: 2652*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**6\/24 - q**5\/6 - 5*q**4\/24 + 89*q**2\/2 - 112*q. Let o(z) be the first derivative of u(z). Find k such that o(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmqnfqq. What is prob of picking 1 n and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 216, 615, 1282, 2217, 3420, 4891?\nAnswer: 6630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37771 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5 - -1)*7\/4. Let b = -4 - p. What is the second derivative of -2*v**3 + 3*v**3 - v + b*v wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**4 + m**2 - m + 1. Let t(i) = -9*i**4 - 6*i**3 + 9*i**2 + 6. Let h(u) = -6*p(u) + t(u). Solve h(d) = 0 for d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, c: 4}. Give prob of picking 2 c and 1 l.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -16748*d - 602999. Give j(-36).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 29\/5 of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 2538 - 2565 = -5022 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/4*(-2 + -1). Suppose -3*u = -9, n*f + 4*u + 38 = 365. Let y(a) = 107*a**2 - f*a**2 + 6*a + 3*a. Let i(w) = -w. What is y(i(o))?\nAnswer: 2*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 2*k + 5*g - 6, 5*g - 8 = 4*k. What is the tens digit of (3 - (-1518)\/(-18))*3\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 8.765?\nAnswer: -26.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11.59 + 1.81. Let g = 13.1 - z. What is the closest to -2 in 4, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 23 = 5*s - 6, -3*k - 6 = 0. Let l(a) = -s - 9*a**2 + 7 + 2*a**2. Let u(v) be the second derivative of v**4\/6 + 6*v. Give l(u(r)).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70296 and 73167.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 13. Solve 0 = -c*m + 13 - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 6*g = -18. Let s be (2 + g)*(-11)\/((-44)\/(-32)). Suppose -s = -2*y - 4*z, -2*y + z = -z - 44. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3087\/3 - 12\/3.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 4515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9299547 by -9.\nAnswer: 1033283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.09507 - -0.09507. Which is the nearest to y?  (a) -0.5  (b) 2  (c) -3\/8  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 213972764 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 5*j - 4. Let b be x(6). Let s = b + 8. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2270 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -107 + 106.7. Let n = 3 - 1. What is the fourth biggest value in 4, b, n, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47 - -82. Let y = 43 - z. Let b = 1.9 - y. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.16 + 4.16. Let w = 4 - l. Which is the third smallest value?  (a) -0.3  (b) w  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4719110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-20)\/18*(-54)\/90. Let b(x) be the first derivative of -2*x + j*x**3 + 2 + 0*x**2. What is the derivative of b(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 203 = -4*r - 19, r + u - 45 = 0. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, t: 1, a: 6, h: 5, u: 5}. What is prob of picking 3 u?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -43*h**2 + 118*h - 6. Find the first derivative of o(s) wrt s.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 14*a + 113. Let z(y) = 22*y + 169. Determine 8*u(k) - 5*z(k).\nAnswer: 2*k + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*b = 8*m - 117382, 70429 = 3*m + b. Let v = m - 14133. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11409 is divided by 151.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5545 is divided by 483.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 30396 divided by -894\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 2, 14375 in ascending order.\nAnswer: -1, 2, 5, 14375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -65709 times 0.239?\nAnswer: -15704.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -484593 and -16?\nAnswer: 7753488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 2)*(-1 + 0). Let w be (1\/(-3))\/(t\/6). Let v be -33*(8\/12 - w). Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261709.9 minus 0.2878?\nAnswer: 261709.6122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -4  (c) -65  (d) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1395798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7137829*h**5 + 37*h**2 + 8004*h + 3365.\nAnswer: -142756580*h**3 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -497*n - 77. Let k(s) = 52*s + 43*s - 2 - 148*s + 40*s. Let y(f) = 2*b(f) - 77*k(f). Let q(i) = -4*i**2. Calculate y(q(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9120409\/272 - -33531. Calculate the common denominator of -67\/4 and t.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 972 < 970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1288 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*a + 88*a = -297 - 1122 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -c2 (base 16) in base 8?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2. Let x(j) = j**2 - 10*j + 4. Let g(m) = 5*n(m) - x(m). Factor g(v).\nAnswer: -2*(v - 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -352 - -330. Let q = 5.35 - -15.4. Let x = s + q. What is x rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 2*s + 20. Suppose 3*g - 2*z = z + 222, s*g = 2*z + 373. Calculate the greatest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5875157000 to the nearest one million.\nAnswer: -5875000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 12:46 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 - 7*u + 29. What is j(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of 7*t**2\/2 + 24. Let a(p) = -p. Calculate n(a(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -a**7\/350 + 10*a**2. Factor t(i).\nAnswer: -3*i**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 3:42 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-4) - -5*(-18)\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 46*x - 470. Suppose 3*q = 2*q + p + 7, 5*p = -4*q + 37. What is the lowest common multiple of h(-30) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/(-48))\/((-18)\/120))\/((-3)\/9)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*i**2 + 34*i**2 - 5*i**3 + (-2*i**2 + 0*i**2 + 4*i**2)*(8*i - 5*i - 7*i) in the form d*i + p*i**3 + l + t*i**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmkffkkkikmkffr. Give prob of sequence kmk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 54734.1 grams?\nAnswer: 54734100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*r**2 - 581*r**2 - 268*r**2.\nAnswer: -1028*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and 102237.\nAnswer: 5111.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1171030 * -1.\nAnswer: 1171030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 418 divided by -209\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -5*(sqrt(125) + -2 + 3) + 0 + ((sqrt(125) - 2*sqrt(125)) + sqrt(125) + -3 - sqrt(125)))**2.\nAnswer: 600*sqrt(5) + 4600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 - -31*(-1125)\/1395?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*c*d**2*o**3 + 10*c*d**2*y - 3*c*d - c*o**3 + d**2*o*y + 27*d*o**2*y + 11*d*o*y wrt d?\nAnswer: -16*c*o**3 + 20*c*y + 2*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -735914, -2944458, -6625362, -11778626?\nAnswer: -18404250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -4  (c) -4213  (d) 0.1  (e) 2  (f) -2666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z - 3. Let p be n(0). List the prime factors of p\/(-24) - (-395)\/40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**2 - q + 10. Suppose -500 = b - 11*b. Let r = b - 46. What is the remainder when s(r) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -483 and 4.\nAnswer: -1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3112 divided by 4287\nAnswer: 3112\/4287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 2629, -9, -33.54?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 0\/(-3) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**2\/7 - 20372*f\/7 + 2494294\/7 = 0. What is f?\nAnswer: -10307, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15468 + 49571 = 5003*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 12*y + 2. Determine d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4 = -3*h. Let b be (-2)\/(h*1\/(-19)). Let j = b + 42. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1421.9 to the nearest 10.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2234 is divided by 197.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 56 = -3*w, -2*w + 36 = 4*r - r. Let y be (w\/15)\/(10\/50). Solve -2*x - 8 = l, y*l = -5*x + 6*l - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**2 - 38*c - 4. Let p(d) = 5*d**2 - 77*d - 9. Determine -4*p(i) + 9*r(i).\nAnswer: -2*i**2 - 34*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-10065)\/671 + 248\/10\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrbr. Give prob of picking 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 3798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-154 + 153)\/(17*(-2 + 0)\/6)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jttjjjj.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134874503?\nAnswer: 181, 701, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -3 - (3 + -1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 989375.35 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of -4\/3*t**3 + 0*t + 0*t**2 - 16. Let y(u) = -7*u**2. What is s(y(h))?\nAnswer: -196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 91053553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*v + 0*z - z - 1200 = 0, -z + 52893 = 11*v + 52453 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -3  (c) 0.5  (d) 4\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*v**2 - v**2 - 105 - 20.\nAnswer: 22*v**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4*g = -2*g. Suppose 53*b + 2 = -s + 54*b, g = 4*s - 5*b + 6. Let y be 2 - 2\/(-4)*0. Sort s, -5, 5, y in increasing order.\nAnswer: -5, s, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 475*q - 472*q - 24 = 0, f + 12 = 3*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167508 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 4, -16, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 5 = 3*k, -4*k = -4*n + 56 - 44 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 5*z + 6. Let s be n(6). Let h = 25 + -26. Is s != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.22 and -0.90072?\nAnswer: 0.68072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x - 7*w + 4*w + 3, 29 = -3*x - 5*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1780.9999619 + 1781. Round c to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -766, -494, -152, 284, 838, 1534, 2396, 3448?\n\"Answer: 4*l**3 + 11*l**2 + 211*l - 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((-3*sqrt(7488))\/(-3*sqrt(576)) + -4))**2.\nAnswer: -32*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8685 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 399795 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -20878, -20967, -21080, -21229, -21426?\n\"Answer: -2*s**3 - 75*s - 20801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.401240971 less than -0.5?\nAnswer: -0.901240971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -n + 3*o - 16, 4*n + 3*o = -7. Let a = -1 + 2. Let m = -0.3 - 0.2. What is the closest to a in n, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 5*d**3 - d**2 + d - 1. Let u be k(1). Suppose 2*r = -c + 19, -4*c - u*r = -56 - 20. Let f = c - 5. Calculate the greatest common factor of f and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(78)*-1)\/(-1*sqrt(384) - sqrt(6)) - ((2*sqrt(637) + -4)**2 + (sqrt(637) - (-6*(-2 + sqrt(637)))**2)).\nAnswer: -2707*sqrt(13)\/3 + 20512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, y: 1, z: 1, k: 4}. Give prob of picking 1 z and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and ((-56)\/7)\/(4\/(-2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*o**2\/5 + 1854*o\/5 - 1857\/5 = 0. Calculate o.\nAnswer: -619, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*r - w, -3 = -3*r + 2*r - w. Suppose -9 = 4*m - r*m. Solve -1 = -4*k + m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-88*y**3 - 67*y**3 + 28*y**3)*(-1 - 1 + 1)*(-3*y - 2*y + 3*y) to the form n*y**3 + j*y**4 + x*y**2 + v*y + a and give j.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 118\/(-6) + 28\/42. Let i = -17 - d. Solve 0 = 2*b + i*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 7:45 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3356 = 4*w, 9*b - 4*b - 4210 = -5*w. Calculate the smallest common multiple of w\/11 + (20\/(-55))\/2 and 5.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p - 130. Let r(f) be the third derivative of 7*f**5\/60 - 2490*f**2. Give r(m(o)).\nAnswer: 7*o**2 - 1820*o + 118300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 805529 is divided by 14642?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 - 4 = 4*z. Let q = -8.3 + 8. Which is the second biggest value?  (a) q  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 6 = 2*k, -2*k - 9 = -4*c + k. Let z = -5408345\/271 - -19957. Is c greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -6. Let n = -0.66 - -1.06. Let f = y + n. Put 1\/6, -0.3, f in descending order.\nAnswer: f, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110 + 18*j - 223 + 113 - 1365*j**2 - 18*j.\nAnswer: -1365*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6619*w = -3*z - 6616*w + 45, -5*z - 95 = 5*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h + 30. Let k be q(-6). Suppose 4*v - 21 = i - k*i, -3*i + 14 = v. Solve -5*t + 10 = -i*r - 3*t, r - 3*t = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1077 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/66 and 167\/13934886.\nAnswer: 153283746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 13. Which is the nearest to -2\/5?  (a) -0.4  (b) u  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 8)*(141*u - 23*u + 119*u) in the form i + k*u and give k.\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*d = 58*d - 123*d + 450870000. Round d to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 341 - 339. Which is the closest to -24?  (a) -0.3  (b) y  (c) -2\/9\nAnswer: a","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 {q: 1, s: 1, l: 1, m: 2, t: 2, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25927240 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m**3 + 30*m**3 - 2*m - 53*m**3.\nAnswer: -19*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-11)*m*m\/(m\/(m*m**3)*m) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 79288 and 907940.\nAnswer: 1636107880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 - 2 + 2)*(1 + 3*o + o + 0*o - 2*o - 2*o + 6*o + o - o - o + (4 - 1 - 1)*(0*o - o + 2*o)).\nAnswer: 14*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1176, -5585, -12934, -23223, -36452?\n\"Answer: -1470*s**2 + s + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 108 - 94. Let n(s) = -2*s + 29. What is the units digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/((l*l**(-2\/9)*l)\/l)))\/l**6)\/(l**(2\/5))**(-27) assuming l is positive.\nAnswer: l**(251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -264?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + 285. List the prime factors of k.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - y + 0 = 2, -5 = w - 2*y. Let v(g) = 2*g**3 - 2*g**2 - 2*g - 1. Let c be v(w). Let s = 166.1 + -166. Which is bigger: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2111636 divided by 4?\nAnswer: 527909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**4 - 48*x**3 + 87*x**2 - 42*x.\nAnswer: 3*x*(x - 14)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-15*2*1\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2252354 (base 6) to base 4\nAnswer: -130103032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -507 + 3049\/6. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a microgram in nanograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/6 - 17\/(-7))\/(6\/((-882)\/609)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -10  (c) 2\/15  (d) 6735  (e) 1\/24  (f) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 2842543214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -282098\/9 + 31384. Let p = t + -40. Let y = -0.08 + 3.08. What is the smallest value in y, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 1:22 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 8. Let v(q) = 3*q**3 - 4*q**2 - q. Let h(c) = c**3 - c**2 - c. Let l(r) = -2*h(r) + 2*v(r). Let p(u) = -u**2. Calculate w*l(b) + 6*p(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.244, -1\/2, 4, 0, -65.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -4*z + 10, -4*o + 4*z + 3 = -1. Solve o*b = -2*a - 4, 3*a = -b + 4*b - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/18 + (-11761)\/(-171). Let d(c) = -2*c + 2. Let s be d(0). Suppose -n = -3*m - 78, -s*m - t = 5*n - 459. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -62.1 or -174?\nAnswer: -62.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m - 2. Let n be q(-5). Let t = n + -9. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 102*w**2 - 3*w - 1. Let u = 33 - 9. Suppose 4*x + 4 = u, -4*x = -k - 22. Is y(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 12 + 39. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 953030*i**2 - 9*i**3 + 953027*i**2 - 1906057*i**2 + 2*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10194*v - 5092*v = 5197*v - 665 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -15.4?\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 88716 less than 1.2?\nAnswer: -88714.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4*g + 28. Let w = 17 - 12. Suppose -67 = -3*z - 2*j, w*z - j - 97 = 3*j. What is the remainder when z is divided by b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**4 - 1. Let b(s) = -s**4 - 5*s**3 + 9*s**2 - 7*s. Suppose -29*v + 24 = -25*v. Let w(n) = v*u(n) - 3*b(n). Factor w(k).\nAnswer: -3*(k - 2)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 236.13 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of u**6\/90 - u**5\/18 + u**4\/9 - u**3\/9 - u**2 + u. Let c(f) be the first derivative of d(f). Suppose c(x) = 0. Calculate x.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4797658 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -101404*g**3 + 313251*g?\nAnswer: -608424*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.7 + 1.8. Let u = 4.9 + x. Let r = u - 6. Is r bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6240376 divided by -5?\nAnswer: 6240376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/(s\/(s\/(s**0*s)*s))*s))**39)**9*((s*s**(1\/4))**(1\/37))**(5\/11) assuming s is positive.\nAnswer: s**(-571403\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4))**24*x\/x**(3\/10)*x**(7\/4)*((x**(2\/3)\/x)\/x**(-1\/3))\/((x\/(x\/(x\/(x**(-1\/2)\/x*x))))\/x)**(-2\/81) assuming x is positive.\nAnswer: x**(13709\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 103, 167, 219, 253, 263, 243, 187, 89?\n\"Answer: -z**3 + 71*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1614339062 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (20\/(-6))\/((-135)\/162). Solve 0*z + 2*z = -5*r + 14, 2*r = -4*z - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c**3*w**2 - 3*c**3 - 18*c*w**4 - 23 wrt w.\nAnswer: -2*c**3*w - 72*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 111*w**2 + 7*w - 434. What are the prime factors of t(-108)?\nAnswer: 2, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y + 27. Let b(c) = -c**2 - 13*c + 17. Let d be b(2). Give s(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7118671 divided by -4?\nAnswer: -7118671\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-5) - 0)*45\/18. Let o(g) = 0 - 3*g - 319*g**2 + 2 + 321*g**2 - g**l. Let r(h) = 3*h**3 - 7*h**2 + 10*h - 7. Calculate -14*o(n) - 4*r(n).\nAnswer: 2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 220 - 77. What are the prime factors of i?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of 2*k**5\/35 + 3*k**4\/14 - 4*k**2\/7 + 20. Factor z(b).\nAnswer: 2*b*(b - 1)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 80*m**2 + 4*m - 18. List the prime factors of n(3).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*q = -3*q - 76, -48 = -v + 5*q. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, n: 2, m: 2, r: 1}. What is prob of sequence srnm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(-1)\/(-2) - 57\/(-1). What is the greatest common divisor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11821 + 11852. Solve -21 = -n*f + 34*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 12. Let b be 14\/(f + 24\/14). Let i = 73 + b. Calculate the highest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -101*d - 101*d - 28 + 200*d. Let y be v(-13). Let n be (-2*(-8)\/y)\/(-2). Solve -b + n*s + 14 = 0, 4*s = -0*b + 3*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/7 - 20*d - 2958\/7.\nAnswer: 2*(d - 87)*(d + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from odokodeoeeeoodwqqdoq.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p + 3*p + 3*p. Let q(o) = 6*o + 12. Let l(f) = 13*f + 30. Let k(y) = 2*l(y) - 5*q(y). Give k(a(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**4*l*l*l**9*l**(-2\/5)\/(l**0\/l) assuming l is positive.\nAnswer: l**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(21\/2)*42\/(-140).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64935497.\nAnswer: 11, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -137 + 134. Which is the smallest value?  (a) r  (b) 1  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201 minus -4.0380303?\nAnswer: 205.0380303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*z - 37, 3*z + 3*x - 3 = -0. Suppose 6 = z*a - 9. Solve 2*n - 2 = 5*j - 0, -a = -3*n + j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 26*z**2 + 3*z - 7. Calculate a(-2).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6449*l + 50. Let k be m(10). Let y be -3 + (-174675)\/k + 3. Let c = -53\/461 + y. Calculate the common denominator of 41\/20 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o - 58*o**2 - 4*o + 11*o.\nAnswer: -58*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 5*d**2 + 224*d + 381. What is a(-43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -58*u**3 - 2*u**2 - 4*u - 7. Let t be y(3). Let g = t - -2331. Suppose 5*o = 19*o - g. What is the highest common divisor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -2607416?\nAnswer: 2607423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5890 by 19.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*x = 4*t + 2848, -4*x = -t - 5731. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h - 4. Let j be d(-3). Let g = 0.757 + -0.16. Let w = g + -0.397. Put 3\/7, w, j, -3\/7 in increasing order.\nAnswer: j, -3\/7, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(3\/2))\/(n*n**(-1)))**14*n**(27\/4)\/n**31 assuming n is positive.\nAnswer: n**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {b: 1, h: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1273 and 8512.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is fa - 4?\nAnswer: f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -420538200 divided by 150\nAnswer: -2803588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 1254?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 675 = -9*g + 4*g. Let b be 2*-1*g\/(-18). What is the units digit of 56\/10 - 6\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -6. Let t = -1 + b. Let w be (-1)\/((1 + t)\/(-4)). Solve -3*h + h = w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -3*n - 31, 12 = -f - 2*f. Let w(v) = 11*v**3 - 8*v**2 - 6*v - 4. Let q be w(n). Let b be (3 - (1 - -3)) + q. Round b to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 251 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 99553 is divided by 461?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eighty-seven fifths of a day?\nAnswer: 25056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492385 is divided by 557.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 13. Let h(d) = d**3 + 8*d**2 - d. List the prime factors of h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110000111110 - 10?\nAnswer: -10110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 0.5  (c) -2\/11  (d) -10  (e) 3\/19  (f) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480100 is divided by 19204.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*o = -5106 - 2591 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 129695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -4, 0.11, 1, 5\/2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 569688867 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46 + 41. Let z = -8507003\/6764500 + -97\/20750. Let u = z - -2\/163. Which is the closest to -1?  (a) -2  (b) m  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*b + 7*b + 3*b**2)*(-3*b**2 + b**2 + 3*b**2)*(-328 + 17*b + 328)*(1 + 0 + 0).\nAnswer: 51*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 + (-123)\/(-3) - 0 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1384645 divided by -1\nAnswer: 1384645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8026 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-4)*99\/297?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/10 and 3\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 50 + 59 - 9 + 86 - 232*k wrt k?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80288 - -2159.5?\nAnswer: -78128.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -694*v + 3*c - 2839 = 0, 2*v - c + 33 = 3*v + 3*c - 47 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**5\/70 - 31*j**4\/14 - 32*j**3\/7 + 188*j**2\/7 + 3150*j - 1. Find q, given that y(q) = 0.\nAnswer: -2, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3692049 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1564\/(-138)*3*1\/(-2)*1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 5*s**2 + 8*s + 6. Let d(j) = 9*j**2 + 15*j + 11. Let h(i) = 6*d(i) - 11*z(i). Let f be h(2). Solve 0 = -f*q - q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 142\/5, -0.1, 3\/13?\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of -y**3\/2 - 2*y**2 - 2*y. Let a be l(-4). What are the prime factors of (-159)\/(-12) - 2\/a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1561*k + 20805 + 80660 = 0 for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2158, -8863, -20052, -35737, -55930, -80643, -109888, -143677?\nAnswer: -182022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010101111111 (base 2) in base 13?\nAnswer: -2674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 257 + 22. Let l = 65 - b. Let s be (-6)\/18 + l\/(-3). What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2. Let y(a) = 12 - 6*a**2 - 12 - 3*a**3. What is 6*j(g) + y(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -266989291*a*g**3 - 6*a*g**2 + 2*a*g - 30*a + 65*g**2 + 42*g wrt g.\nAnswer: -1601935746*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -629510338 to the nearest 100000.\nAnswer: -629500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5680342?\nAnswer: 2, 2840171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/5?  (a) 1969  (b) 0  (c) -1\/9  (d) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -22*i + 908. Give h(47).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 50308*y + 301889. Determine w(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 5*y + 6. What is i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*p - 109*p - 1585 - 399 = 0 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -110030301310 (base 4) in base 2?\nAnswer: -10100001100110001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-10 - (-5 + 10 - 9)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 945, 956, 967, 978, 989?\n\"Answer: 11*r + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13491869 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 230 + -161. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p - 13 = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -3*d - 14, -5*z - 6 = 3*d + 13. Suppose -5*g + 10 + 10 = -2*x, 0 = 5*x + 25. Let q(o) = -2 + o**g + o**3 - 9*o**d + 7*o + o**2. Calculate q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4 + sqrt(13)*-2 + (sqrt(13) - sqrt(78)\/sqrt(24))**2)*4.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 1 = 2*b - 2*m, 9 = -2*b - 3*m. Let g(p) = 23*p + 72 + 66 + 63 - 205. What is the remainder when g(b) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + sqrt(3))*4 + 3.\nAnswer: -24*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -220530 (base 8) in base 16?\nAnswer: -12158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 378 and 30.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*y**3 - 2*y + 6*y**3 - y**3 - 4 + 0*y to m*y + t*y**2 + r + p*y**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*k + 17*k - 1233. Let l = k + 86. What is the remainder when l is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppdpdqwwzqzdddddzzd. Give prob of sequence qp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1415 - -1990. Calculate the remainder when o is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x**2 + 3*x + 3. Give t(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 15903*o = -15908*o + 19, -5*o = -5*c - 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 1319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + w = -5*v + 3918, 5*v + 5*w = -6530. Let k = v - -1985. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 15*b**3 - 2*b**2 - b + 2. Let j(h) = 30*h**3 - 5*h**2 - 3*h + 5. Let c(u) = -5*d(u) + 2*j(u). Let k be c(-1). Solve 4*l - k = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -599802 + 599799.60073. Let q = -0.11 + -2.29. Let b = w - q. Round b to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*g**2*i**3*z**2 + 6*g**2*i**2*z - g**2*z**3 - 23*g*i**2*z**2 + 39*i**3*z**3 + 2*i*z**3 wrt i?\nAnswer: 90*g**2*z**2 + 234*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + -1)*18\/1035?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 d when four letters picked without replacement from dtytdyty?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 17 - (16\/6 + 5\/(-3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*x**2 + 103*x**2 - 218*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 7:39 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7929727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 148*t + 25. List the prime factors of c(3).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -650511537 take away 37?\nAnswer: -650511574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 303, 0.5, -59.\nAnswer: -59, 0.5, 4, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -16*p**4\/5 + 26*p**3\/5 + 6*p**2\/5 - 26*p\/5 + 2 = 0.\nAnswer: -1, 5\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, z: 1, g: 1, e: 2, c: 1}. What is prob of sequence gzoc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/1748 and -43\/14.\nAnswer: 12236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 50*n - 576*n**5 + 581*n**5 - 15*n**3 - 6*n**4 - 7*n**4 + 15*n**2 + 50*n**2 - 12*n**4.\nAnswer: 5*n*(n - 5)*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1019*x - 503*x = 508*x + 6048. Calculate the lowest common multiple of x and 1764.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(80)*-1)**2 + 5.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*j**2 + 20487*j - 364202 wrt j?\nAnswer: 10*j + 20487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -5*b**3\/6 + b**2 + 2. Let k(n) = n - 1. Calculate 6*k(s) - u(s).\nAnswer: 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - (176\/20 - 4))\/3. Let a(z) be the second derivative of 0 + 4*z + 2*z**2 - w*z**6 + z**3 - 1\/6*z**4 - 3\/10*z**5. Factor a(k).\nAnswer: -2*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 22\/(-3 - -2 - 1). Let r(g) = 2*g - 24 + 18 + 5*g - g**2 + 2*g**2. What is the remainder when r(f) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 6:38 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 655, -4, -5, 10, 5 in decreasing order.\nAnswer: 655, 10, 5, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 19*l**2 - 22*l - 17. Let p be s(-19). Let b = p + -2801\/7. Factor -2\/7*r**2 - b*r + 0.\nAnswer: -2*r*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {b: 4, v: 2, k: 6, x: 2, e: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m + 4. Let r be o(-3). Suppose 0 = -20*y + 138 + 42. Calculate the remainder when (r - -1) + 1 + 25 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 3:30 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 406\/21291 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5 = 0, 0*p + 564 = 2*s + 2*p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-6))\/((-2)\/(-6)). Find the common denominator of x\/5 + 1413\/(-240) and -15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13905*-2\nAnswer: -0.2781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 682*k = 446*k. Solve k + 53\/3*w**3 + 82\/3*w**2 - 5\/3*w**4 + 8*w = 0 for w.\nAnswer: -1, -2\/5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2912664 and 37104?\nAnswer: 5825328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b*c*q**2 + 9*b*l*q**2 - 2*c*l*q + c*q**2 + 2*c*q - l*q wrt b.\nAnswer: -2*c*q**2 + 9*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*u - 8 = -192 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*7291954.7.\nAnswer: -1458390.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -7206879, -14413766, -21620655, -28827546, -36034439, -43241334, -50448231?\n\"Answer: -k**2 - 7206884*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 25 - 1\/2*j**2 + j. Let l = 9 + -5. Determine h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 + 145\/(-30))*0. Let x = 62\/177 - 1\/59. Which is the nearest to x?  (a) -0.5  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -352*t + 698*t - 349*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 2*l + 1. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.4  (b) -181  (c) -5  (d) 1  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -5 - -12 - 0 - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 116, 167, 208, 233, 236, 211, 152?\n\"Answer: -t**3 + t**2 + 55*t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 7*a**2 - 8*a - 1. Calculate g(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-156)\/(-48))\/((67\/4288)\/((-1)\/(-8)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 5\/3*1. Let t be (-2890)\/(-45) - (-2)\/(-9). Let k = -257\/4 + t. Sort k, 0.4, a.\nAnswer: a, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -4*p + 179. Let o be ((-4)\/(-10))\/((-36)\/p). Suppose 2*w - 2*k + 6 = -0*k, 0 = 5*w + k + 15. Which is the nearest to o?  (a) w  (b) -1\/3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1759 - 8251 = -550*y + 1512 + 7178 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**2. Let k(h) = 47*h**2 - 4. What is a(k(t))?\nAnswer: -11045*t**4 + 1880*t**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add 124544 and 5.279.\nAnswer: 124549.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4311035078.\nAnswer: 2, 7, 29, 10618313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 8) to base 12.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/3)*l)**15\/(l**(-6)*l**(1\/10)) assuming l is positive.\nAnswer: l**(259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(9)\/sqrt(3) + sqrt(3) - (sqrt(243)*2 - sqrt(243)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 278\/6 - 22\/(-33). Let o = x + -45. Solve -8 = h - o*q, 3*q - 1 = -h + 2*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2077, -2071, -2065, -2059?\nAnswer: -2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 288\/56*105\/(-30) - -24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.883804792 + 1.4.\nAnswer: 3.283804792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 3 = -t. Let d be 115\/(-25) + t\/(-5). Let n = d + 7. Solve 5*a = n*q - 1, -4*q + 0*q - 4*a - 20 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 73\/4 of a meter?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 7*a**2 + 130*a - 2318. What is m(9)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111010110111100011 + 100?\nAnswer: -111010110111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000316121 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2641 + -39586\/15. What is the common denominator of y and 161\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5982 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (84\/18)\/(((-2)\/(-3))\/1). Suppose 8*t + q = 23. Suppose 2*b - 18 = 4*j, -t*b + 5*j = 2*b - 42. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s - 5*s + 4*s)*(-2312*s + 5325*s + 43687*s - 19686*s + 54978*s).\nAnswer: 163984*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b + 1. Let a(d) be the first derivative of d**2\/2 - 7*d - 1195. Suppose -12 = 3*g, g = 3*f - 3*g - 40. Let n be a(f). Give s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -y**3\/3 + 952*y. Let x(v) = -3*v**2 + 3*v. Determine h(x(q)).\nAnswer: 6*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1939712 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -243945.7 rounded to the nearest 1000?\nAnswer: -244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00053784 to six dps.\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/20634 and 63\/16.\nAnswer: 165072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*m = 79*m - 3. Suppose 2*u = -u + 4*k + 10, -k - 1 = 0. Let t be u\/((-24)\/(-20))*m. Do -7 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-68)\/170 - 18\/(-20)). Let z be (-52)\/20 - 4\/10. Let v be (-2)\/(-6) - 2\/z. Sort 4, g, v in increasing order.\nAnswer: g, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -259 and 0.4?\nAnswer: -103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 - (-12 - (-9 - 8)) - -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*v - 29*v - 1848. Let a = 182 + v. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) 4\/9  (b) 3  (c) -0.3  (d) 0.08  (e) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -634.143 and -3?\nAnswer: 1902.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 4 + 18\/(-10). Let y(u) = -u**2 - 25*u - 66. Let s be y(-22). Which is the nearest to s?  (a) i  (b) -2\/23  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 5*l - 6*l. Let m = l - 7. Let p(w) = -m*w**2 - 1 + 0 - 23*w + 21*w. Give p(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -69573963*i**3 - 360*i**2 + 5282*i - 13 wrt i?\nAnswer: -417443778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 2*l - 43, 3*u - 2*l + 5*l - 33 = 0. Let f be u\/(-10)*4554\/154. Let c = 201\/5 + f. Calculate the common denominator of c and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 at least 322\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -258173636\nAnswer: 1\/64543409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 44 and 31327.\nAnswer: 1378388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**2 + 33 - 33 - x**2 in the form z*x**2 + q*x + a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80174.\nAnswer: 2, 40087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 685163\/7 + -97661. Factor 3\/7 - r*i**3 - 72\/7*i + 576\/7*i**2.\nAnswer: -3*(8*i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*q + 90*q - 1398 - 492 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 6:02 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 + 1 - (-439 + 441). Solve 4*u + 10 = 2*g, -l*u + 5*u = -g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2592886093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u**3*x**2 + 3369*u**3 - 2*u*x + 4640*x**2 wrt x.\nAnswer: 2*u**3 + 9280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of -10*w**3 - w**2 + 26*w + 2. Let h = 3668 - 3666. Let l(z) = -z + 1. Let r(o) = h*l(o) - u(o). Differentiate r(y) wrt y.\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45298519 to the power of 1\/2, to the nearest integer?\nAnswer: 6730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1.8 - 304174.47\nAnswer: -304172.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -2*b**5\/17 + 2*b**4 + 92*b**3\/17 - 304*b**2\/17 = 0?\nAnswer: -4, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0247370841 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, -0.35059 in descending order.\nAnswer: 5, -0.35059, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 816 + -827. Let p(h) = h + 134. Let q be p(d). What is the greatest common divisor of 164 and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -947.57 - -947. Round d to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 16. Let t = -2\/49 + 57\/196. Let p = -5\/26 - 4\/13. What is the second smallest value in v, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -603191*b**2*o**3 - 3*b**2 - 123268*o**2 wrt o?\nAnswer: -3619146*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 19*c**3\/3 - 5*c**2 + 3. What is the second derivative of f(k) wrt k?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 762380842, 762380843, 762380844, 762380845, 762380846, 762380847?\n\"Answer: t + 762380841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 725 = -175. Solve 2*q - 47*q + 21*q**2 + 4*q**2 + 285*q**3 + z*q**4 - 10 = 0 for q.\nAnswer: -1, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 14 = 3895*l - 3894*l, 2*d - 5*l = 34 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 17, 6, -21, -70?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1054 and 85.\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5256 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/5)*s)**(-1\/15)\/(s**4\/s**(2\/27)) assuming s is positive.\nAnswer: s**(-2704\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h**2 - 5*h - 2. Suppose -17*i - 18*i = -3*i - 320. What is the lowest common multiple of w(-3) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.638 times -2.393?\nAnswer: -56.565734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/12  (b) -1\/5  (c) -0.4  (d) 1\/5  (e) -1.6  (f) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 8:48 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = h - 5*c, -h + 25 = 4*h - 5*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0)**(-2\/139))**(5\/16)*(z**6*z**3\/z*z)\/(z**(-1)*z**(2\/9)) assuming z is positive.\nAnswer: z**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((384\/(-288))\/((-145)\/3))\/(16\/(-40))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*g - 92*g = -3, -29 = -5*j + 2*g for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/1 + (-15)\/(-3). Let c = n + -1. Suppose -121 = -c*j + 7. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 130 = 3*w + 5*x - 181, 7*w + 291*x = 295*x - 89 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3) - 392\/147?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1200061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11328, -11463, -11580, -11673, -11736, -11763, -11748, -11685?\nAnswer: -11568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c**2 - 28233*c**3 + 14031*c**3 + 13978*c**3 + 2 as w*c**3 + d*c + b + s*c**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 66145891 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009601 rounded to four dps?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 530854315246 and 0.202.\nAnswer: 530854315246.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/15*3 + (-44)\/(-45).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjcccjcjjj. What is prob of sequence jjjj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1848 by 6.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*d - 152, 0 = -4*d - 3*z + 25 + 115. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -402.575848 rounded to two decimal places?\nAnswer: -402.58","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -w**5 - 96*w**3 - 110*w**3 + 218*w**3 - 8787*w + 5*w**4 wrt w.\nAnswer: -20*w**3 + 60*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5015 + 5010. Let c(t) = 40*t. Let i(m) = 40*m. Determine d*c(v) + 6*i(v).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3*r - 3. Let t = -15 - -21. Let l be (2 + (-112)\/6)\/((-4)\/t). Suppose -6*h + l = 7. Determine d(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 608 = 73*j + 51 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -23.8  (b) 0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39423662 divided by -211.\nAnswer: -186842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311.0441 hours to milliseconds.\nAnswer: 1119758760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2100 - -2100. Sort 3, -2, -638, h in ascending order.\nAnswer: -638, -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z**3 + 6*z**2 - 2*z - 20. Let d(s) = s**3 - 3*s**2 + s + 9. Let y(k) = -9*d(k) - 4*j(k). Let a be 2 + 0 + -2 + 3. Determine y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 6*r + 12, c = -4*r - 6 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26792, -106610, -239614, -425786, -665108, -957562, -1303130, -1701794?\nAnswer: -2153536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4698711 grams to milligrams.\nAnswer: 469.8711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -3*y + 14. Calculate the remainder when z(-4) is divided by 9 + -2 + (4 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94020\/7 greater than 13432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) - (sqrt(4860) - 2*sqrt(4860)))\/(sqrt(108)*6) + (sqrt(20)*1 + sqrt(20))*3*1)**2.\nAnswer: 63845\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-8872)\/(-6))\/(6\/(-18) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2 + sqrt(112)) + (-6*-3*sqrt(49))\/sqrt(7))**2.\nAnswer: 760*sqrt(7) + 10208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/11 + 1300*t**2\/11 - 5242*t\/11 - 6540\/11.\nAnswer: 2*(t - 5)*(t + 1)*(t + 654)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -749\nAnswer: -1\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (117 - 251 + 76)*(22 - 45*s - 22) + (2 + 1 - 1)*(4*s + 0*s - 2*s) to p + f*s and give f.\nAnswer: 2614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9993456.\nAnswer: 2, 3, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12 - 162\/12)*(-2)\/3. Put -4, 3, -3, 103, f in descending order.\nAnswer: 103, 3, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((1*sqrt(39))\/sqrt(3) - sqrt(832)*-2)*-4 - (4 + (sqrt(468) + -1)*-1))**2.\nAnswer: 1860*sqrt(13) + 149991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -4*i**2 + 14724*i - 3896312 = 0?\nAnswer: 287, 3394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4939916 and 5380?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3*(-2*sqrt(1584)*2)**2.\nAnswer: -76033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 842.964*1\nAnswer: 842.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 6*g**2 + 5*g - 6. Let x be v(4). Let y = 350087 - 349926. Calculate the highest common factor of y and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/63)\/(360\/(-280)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21996630155\/1036 - -21232271. Let j = g - -9\/148. Factor -8\/7*b - j*b**3 + 24\/7*b**2 + 0.\nAnswer: -2*b*(3*b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*m - 1428 = 7*m. Calculate the highest common divisor of m and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 + 14. What is the remainder when 38 is divided by a*(-1)\/(-2) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 333869 is divided by 1403?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/21609 and 89\/610785?\nAnswer: 29928465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002925455 rounded to 7 dps?\nAnswer: 0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 4*q + 656*u = 660*u + 31, 11 = -3*q - 5*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 59718398 and 59718397 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/3  (b) 3\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c**2 + 19*c - 6. Let y be q(6). Suppose 3*r - 5*r + 208 = y. What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 69, 140, 211?\n\"Answer: 71*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1146594487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8303048 and 0.06.\nAnswer: 498182.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1404592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 190520357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 5*t + t - 45 = 0, -3*s - 4*t - 5 = 0. Which is the third smallest value?  (a) 0.5  (b) 10  (c) s  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v - 109 + 37 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10123 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 53*n + 315. What is x(-37)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -203033 - 0?\nAnswer: -203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 17\/((5 + 0)\/5). Suppose -14*c = -a*c + 18. Suppose -18 + c = -2*o. Solve 4*v = 2*v - o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -147 - -176. Which is the nearest to n?  (a) 0  (b) 5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*((-6)\/4)\/1. Let y = -6 - g. Suppose 468*p - 475*p = -28. Put y, -5, p in descending order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.055+67421.436\nAnswer: 67421.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three thirds of a minute in seconds?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 258*a - 122*a - 61*a in the form k*a + j and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -7*r**3 + 6*r**2 - r + 4. Let c(a) = 8*a**3 - 7*a**2 + a - 5. Let l(f) = -6*c(f) - 7*h(f). What is the units digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 285562035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and -5.41.\nAnswer: -5.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113860 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 519770 = -12736*t - 779302 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 539 (base 11) to base 2\nAnswer: 1010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 727.9 - 728. Which is the closest to -1?  (a) -3\/2  (b) z  (c) 0.101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 120\/(-24) - (-3 + 1) - -11. Solve -8 = 4*m + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6835?  (a) -0.7  (b) -0.5  (c) 0  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -5*n + h, -n - 20 = -3*n + 4*h. Suppose -2*o - n = -3*s + 30, 3*o - 60 = -3*s. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*q**3*x**5 + 2*q**3*x + 7*q**2 - 7*q*x**4 + 12*x wrt x?\nAnswer: -580*q**3*x**3 - 84*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -q, -2*p - 2*q - 3 + 23 = 0. Suppose -6 = 2*s - p*s. Solve u = -3*k + 9, k + 1 = -u + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 1\/12*j**4 + 0*j - j**2 + 0. Let g(w) = 12*w - 21. Let i be g(2). Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 9076758?\nAnswer: 9076758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 + 2. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260356 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24544245.44 + 0.5.\nAnswer: 24544245.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*9534\/5448*136\/7?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44032*l**5 - 25732224*l**4\/5 - 78507536*l**3 - 426161790*l**2 - 785655450*l - 3645000 = 0. Calculate l.\nAnswer: -100, -45\/8, -1\/215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 - 10*r**2 + 2*r - 15. Let q be (4 - 25\/2)*-2. Suppose 0 = -3*n + q + 13. Calculate the least common multiple of n and h(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/2)\/d*d)**44\/(d**(-1\/4))**(-8))**16 assuming d is positive.\nAnswer: d**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 at most as big as -0.008752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f + 2*f - 6. What is the remainder when (-8)\/3*(f - 9) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d + 92. Let u be h(44). Suppose m + 7*q + 16 = u*q, 2*q = -5*m - 28. Which is the nearest to 1?  (a) 5  (b) -3\/5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.16 and 3139520?\nAnswer: -502323.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -18  (b) 2\/9  (c) -450.86  (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -8*u - 30. Calculate the remainder when 99 is divided by m(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) + (sqrt(104) + sqrt(104)*4 + sqrt(104))*3)\/((sqrt(32) + sqrt(96)\/sqrt(3))\/sqrt(4)).\nAnswer: 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 9428, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/11)\/(1440\/(-1056))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1225 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*p + 1, 3*p + 2 = -5*x - 0. Let n = p + 0. Let k be 58\/(-18) - (-6 - -3)\/n. Sort 0.6, 4, k in descending order.\nAnswer: 4, 0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.8 - 3.72. Which is the second biggest value?  (a) 2\/11  (b) -0.3  (c) p  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -391609 + 5090919\/13. Solve -22\/13*o**2 + 0 - t*o**3 + 0*o = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 + -32. Let g(m) be the third derivative of -m**5\/60 + 7*m**4\/24 - 5*m**3\/6 + m**2. Let o be g(6). Put -0.1, o, j in increasing order.\nAnswer: -0.1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 138 - 133. Suppose 3*x = -2*c + 578, y*x + 289 = c - 0*x. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 5*c - 1480 = 0, 651 = 5*n - 3*c - 837. Find the third derivative of 3*z**6 + n*z + 8*z**2 - 297*z wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*g**4 + 1 - g**4 - g**4 wrt g.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -341.5 plus 111649877?\nAnswer: 111649535.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/19, 2\/5, -0.437, 2, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, 2\/5, -2\/19, -0.437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + 1 + sqrt(2299) + -2 + (sqrt(209) - sqrt(209)*-1*-6)\/sqrt(11)*3)**2.\nAnswer: -313 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g**2. Let j(z) = -59434872*z**2. What is j(h(d))?\nAnswer: -237739488*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*t - 26, a + 3*t - 22 = -2*t. Calculate the lowest common multiple of a and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 - 25. Let h = d + -66. Suppose h*j - 7*j = 5*z - 290, -5*j = -5*z - 330. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -64*k - 288 - 96 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100011111101111 (base 2) to base 6.\nAnswer: -221131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21938, 21931, 21924, 21917?\n\"Answer: -7*l + 21945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.688 * 0.118.\nAnswer: 0.671184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 109044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*x - 37*x + 20. Suppose w - 5 = -3*g, -5*w + 8 = x*g - 3*w. Is g < -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7073 + 7072.996413. What is j rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, -8, 271\/6 in descending order.\nAnswer: 271\/6, 2\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7249 - 7206. Solve -59 = -34*z + b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50 + -25. Let g = -24.9895 + a. What is g rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 12385 = -3*r - 576, -2*r + 9*d + 7834 = 0. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 61692 - 61689. Solve -1\/2*d + 0*d**4 + 0 + d**z - 1\/2*d**5 + 0*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 373067462 to the nearest integer?\nAnswer: 19315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 10, v: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.07 + -7.93. Let n = 5 + m. Let u = n - 0. Which is the biggest value?  (a) 0  (b) 3\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-32)\/(-1584)*22*(-30)\/(-64). Let l(f) be the third derivative of b*f**4 + f**2 + 1\/12*f**6 + 0*f + 0 - 5\/12*f**5 + 5\/3*f**3. Factor l(u).\nAnswer: 5*(u - 2)*(u - 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4607703 is divided by 130?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a - -9?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4342691668 - 17.\nAnswer: 4342691651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**2\/9 + 380*c\/9 + 512\/3 = 0. What is c?\nAnswer: -4, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1558792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00021394959 rounded to 6 decimal places?\nAnswer: 0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - -1*(-4)\/(-2). Suppose b*c - 2*c = -3*l + 144, 3*l - 144 = 5*c. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25932, -5, -1668 in ascending order.\nAnswer: -1668, -5, 25932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 43\/59652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26247159 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q + 42*q = -42*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100074023?\nAnswer: 7, 139, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -9*p - 12 - 2*p + 32*p - 14*p. What are the prime factors of k(13)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) -48  (c) -2\/33  (d) -33  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6\/27*(0\/(-1) + -3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/7  (b) 1\/5  (c) -21\/2  (d) -5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -5*z - 60, -z = -0*z + 4*b + 12. Does 3 divide z\/(0 + (-6)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6714\/(-81)*(-22 + -14). Do s and 2984 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**2 - 3*j**2 + j**2)*(-11*j + 21*j - 12*j + 33*j**3 - j**3 + 0*j**2 + 0*j**2 + (-2*j + j**2 + 2*j)*(-2*j - 4*j + 4*j) + 3*j**3 - 3*j**3 - 2*j**3).\nAnswer: -140*j**5 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154*k**3 + 6675*k - 3339*k - 3336*k + k**2.\nAnswer: -154*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.02363065 - -148.97575735. Let n = 149 - b. Round n to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2 + 500*b - 8. Determine z(250).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 209126011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, m: 1, i: 3, d: 3, u: 1, c: 7}. What is prob of picking 1 k and 1 m?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.4 and 28.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 97730436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -4*q**5\/45 - 49*q**4\/18 - 44*q**3\/27 + 49*q**2\/9 + 16*q\/3 - 663. Suppose m(o) = 0. What is o?\nAnswer: -24, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4941 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/(4732\/1580 - 3).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 4*d**2 - 4*d. Suppose r + 3*c = c, -2*r + 2*c + 6 = 0. Suppose 6 = u + j, 9 = 5*u - 4*j + r*j. Calculate o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/3)\/(6\/(-27)). Let c be (-4)\/(-6) - (-6 + 112\/24). Let o be c*((-74)\/(-24) - w). What is the nearest to -2\/7 in 0.2, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*o + i, 4*o + 7*i = -82 + 45. Let k = -0.1 - -0.1. Let n = k + 1. Which is the smallest value?  (a) o  (b) 2\/7  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*w - 63*w = -12. Suppose -w*l = -l + 10, -5*m + 300 = -3*l. Calculate the greatest common factor of 38 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-11232)\/(-2704) - 8\/6*3. Factor 12\/13*q + 18\/13 + k*q**2.\nAnswer: 2*(q + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 1:41 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 1 + 3 = 0. Let l(c) = -7*c + 20. Let d(r) = 3*r - 7. Let b(v) = -11*d(v) - 4*l(v). Let z(t) = 6*t + 4. Let n = 44 - 47. What is n*b(h) + w*z(h)?\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o - 2. Let b be j(-1). Let s = 7 - b. Calculate the remainder when (-117)\/(-7) - (-4)\/14 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 3*x**2 + 2. Let q be a(3). Put 1, 5, q, -98 in descending order.\nAnswer: 5, q, 1, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-1*8\/(-176)). Suppose 37*f - 2*n - k = 32*f, -5*f = -n - 26. Solve 2*t - v = 7, -3*t + 3*v - f*v - 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.266848 rounded to 2 dps?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 10*o**3 + 4*o - 3. Let t be r(1). Suppose 6*b - 29 = -t. Solve 0 = -b*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1201*p**5 - 366*p wrt p?\nAnswer: 24020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -11*s**3 - 24*s**2 + 31. Let t(z) = 5*z**3 + 11*z**2 - 15. Let y(l) = 6*g(l) + 13*t(l). Calculate y(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -4  (c) -1108\/827  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1776219757651202 - 1776220006853241.0000046. Let q = 249201981 + w. Let b = -58 - q. Round b to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 11*p**5 - 19*p**4 + 8*p**3 - 7*p**2 + 7*p. Let d(v) = -5*v**5 + 9*v**4 - 4*v**3 + 3*v**2 - 3*v. Let f(t) = -14*d(t) - 6*s(t). Solve f(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 + 2*o**2 + 4 - o + 3 - 4. Let t(j) = -j. Let v(x) = g(x) - t(x). What is the first derivative of v(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*t - 8*t. Let o(i) = 6*i**3 - i**2 - i + 1. Let r be o(t). Let w = 1 + 0. Which is the second smallest value?  (a) r  (b) -0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 690 by -1.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53657 - 268281\/5. Find o such that 4\/5*o**2 - 4*o**4 - 28\/5*o**3 + 32\/5*o + 16\/5 - b*o**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 12:04 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65f (base 16) to base 3.\nAnswer: -2020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -39 in -3\/5, -2\/5, 2\/17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, k: 2}. Give prob of picking 4 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - a - 13 = -2*a, -2*r - 4 = 2*a. Let h be ((-5)\/3)\/(r\/105). Suppose -9*s + 1 = -h. Solve s*y = -0 - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12972383.\nAnswer: 19, 619, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2\/13))**(-41)*(y**(-2\/3))**(-22) assuming y is positive.\nAnswer: y**(-1273\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1139 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1233, -4956, -11165, -19860, -31041, -44708?\n\"Answer: -1243*l**2 + 6*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 32 - -25 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 716, 66104, 0, 4 in descending order.\nAnswer: 66104, 716, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + c = -5, -c + 31 = h. Suppose -20*l = -16 - 64. Calculate the highest common factor of l and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 11) + (-81 - -106)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(1700)*2 - (sqrt(2057) + 3*(sqrt(2057) - (sqrt(2057) + (0 + sqrt(2057) - sqrt(2057)))))**2.\nAnswer: -2057 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60 - 47. Let c = 21 - -28. What is the remainder when c is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of -w**3\/3 + 9*w**2\/2 - 313*w. What is z(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 12. Which is the biggest value?  (a) h  (b) -5  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 4*f = 10. Let m be (-56)\/f + 2 + -2. Solve -2*o + m = 3*d - 6*o, 5*o = 4*d - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 2*r**2 - 3*r + 1. Suppose -5*s = -4*s - 2. Let y be d(s). Which is the nearest to 1?  (a) -0.3  (b) -1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -305061358 divided by 43580194?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 90.5 in 44, -5\/12, 2, 0.3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fwl when three letters picked without replacement from {i: 3, m: 2, l: 3, f: 1, s: 6, w: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 8*c**2 - 9*c + 8. Let u be a(-8). Suppose f - u = -0*f. Calculate the greatest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i - 86*y + 90*y + 52, -i - 34 = -20*y for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of 105\/2*k**2 + 0 - 108*k + 67\/3*k**3. What is the derivative of j(v) wrt v?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 335268.6 millilitres?\nAnswer: 335.2686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, s: 4}. Give prob of picking 3 q and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v + 11*v + 6376 = 2*s, -v = 4*s - 12773. Is 45 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 4:55 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 50349.48 milligrams?\nAnswer: 0.00005034948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3*j\/j**(-2\/65)*j*j)**34 assuming j is positive.\nAnswer: j**(13328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 4*w**2 - 3*w - 6. Let g be x(-1). What is the closest to 0 in 2\/7, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2041 and 26914667?\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 37, 123, 209, 295, 381?\n\"Answer: 86*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(((-16)\/(-132))\/((-8)\/6))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -11.7, 0.5, -0.1, -4\/5, 3 in descending order.\nAnswer: 3, 0.5, 0.3, -0.1, -4\/5, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and 16225650?\nAnswer: 16225650.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1116*h**4 + 1271.\nAnswer: -4464*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/1014717 and -74\/1199211?\nAnswer: 13191321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p**3 + 14*p**2 - 45*p + 29. What is t(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2394 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28104367.\nAnswer: 23, 479, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + -25 - -33 - 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 5 = 3*w, 3*h = 5*w - 8*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 688 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/20 and 62\/3535.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2748.56 less than 10.11962556?\nAnswer: 2758.67962556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 12) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, l: 2, f: 1, g: 1, i: 1, v: 1}. Give prob of picking 1 f and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4889 - 3317. Let c = k + -1572.00001149. What is c rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 34*g**2 - 323*g + 624. What is l(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = -3*y - h - 73, 0 = 2*y + 5*h - 31 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 62*l - 218. Let q be t(4). Solve -q*f - 20 = -18*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.5 - -3. Let p(d) = d**2 - 10*d + 12. Let a be p(8). What is the nearest to a in j, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5560 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -1\/4, -0.1, 3\/2, -0.4 in descending order.\nAnswer: 3\/2, -0.1, -1\/4, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/4*(1 + -5). Let v be (-20)\/14*((-59)\/2 + 5). Calculate the highest common factor of q and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = b - 4*x - 24, -b + 12 = -4*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 3*a)*(4*a**3 + 1003 - 1003).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 + 6. Let q(w) = -w**2 - 2. Let g(a) = 2*b(a) + 6*q(a). Let h(r) be the first derivative of 3\/2*r**2 + 3 + 0*r. Calculate h(g(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -38 - (-25 + -18 + 38) - 6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of 3*j**2\/2 - 36*j - 50. Determine q(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4630420567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 22*k - 60. List the prime factors of u(34).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16671678.\nAnswer: 2, 3, 1259, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 292  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102518 = 3*g - 1416887. Suppose -127382 + g = u. Suppose -3*r + u - 1060743 = b, b = 3*r + 749998. Round r to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/41280 and 11\/371520?\nAnswer: 371520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7949794 to the nearest integer?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, 0.22, 0 in ascending order.\nAnswer: 0, 0.22, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52334 and 764?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2. Suppose 0*y - 4 = -2*y. Let m(g) = -3 + y*g - 4 - 8 + 12. Calculate m(p(h)).\nAnswer: -2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -60\/545183 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xwbywb. Give prob of picking 1 w and 1 b.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 120 = 2*w. Let n(m) = -m**3 + 22*m**2 - 42*m + 40. Let o be n(w). Let g(i) = -i - 3. Let x be g(-6). Sort o, -4, x in decreasing order.\nAnswer: x, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 5*u**2 + u - 7. Suppose 2*c + 3*c = 25. Let j be q(c). Let o = 124\/315 - 6\/35. Is o bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-1 - (14 - (-5 - -10)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5523, 708, 0 in decreasing order.\nAnswer: 5523, 708, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11758\/16 - (6 - 686\/112). What is the greatest common factor of s and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -7616\/13*j - 316\/13*j**3 - 10\/13*j**4 + 3168\/13*j**2 + 2560\/13 = 0.\nAnswer: -40, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -13.31243 and -274.\nAnswer: -287.31243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14.6 + -90.5. Let x = -73.3873 + 0.3873. Let h = x - y. What is h rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*b = -29*b - 3740. What is the remainder when 1070 is divided by b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s - 8. Let m be a(-5). Is 6 a factor of (m\/(-6))\/((-2)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -42. Suppose -2 = 3*y - r. What are the prime factors of (-648)\/96*y\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52\/(-18))\/(-1)*72\/272*17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q - 4*q + 0*q. Suppose b + 2*b - 75 = 0. Let u = 21 - b. Let z(v) = -6*v. What is u*t(r) + z(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -5*c**2 - 59*c + 2. Let k be l(-5). Calculate the greatest common factor of 144 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 23\/1321740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1205126 (base 7) to base 14\nAnswer: -3dabd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8376191.9 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence exei when four letters picked without replacement from {i: 11, x: 1, e: 5}.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87, 171, 253, 333?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3*(sqrt(68) + -5*sqrt(68)) + (sqrt(68) + -2 + sqrt(68) + 4 - sqrt(68)))*-4)**2.\nAnswer: 26624*sqrt(17) + 2942976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 11, 3 in decreasing order.\nAnswer: 11, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369928 is divided by 1093.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.049 or -12.75?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 3:46 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + l - 3353 = 0, -4*g + 2*l + 430 = -2258. Suppose -51 = -5*k + 4*d + 608, 5*k - g = d. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 6 = 2*g. Let j(k) = k**2 + 6*k + 1. Let m be j(-6). Let t(f) = 5 - m - 6*f**2 + 5*f**2. Calculate t(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*h - 278022 - 127501 - 137372. List the prime factors of h.\nAnswer: 3, 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4290446 and 40?\nAnswer: 85808920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - (-26)\/5) + (-57)\/285. Let z(g) = -9445*g**2 + 6*g - 16. Let h be z(n). Round h to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(2\/10*1). Solve 5*p - o*r - 15 = 0, p - 4*r - 17 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 16. Let v(n) = -2*n**2 - 3*n**3 + 2 - 39*n + 4*n**3 + 38*n. Give v(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5305*f**4 + f**3 - 23215*f**2 wrt f?\nAnswer: -127320*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-564 + 45*y - 48 - 43*y)*(-5*y + y + 2*y) to the form g*y + h + c*y**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 33*z**2 - 7*z + 6. Let l(x) = x**2 + 1. Let v(m) = 4*l(m) + t(m). What are the prime factors of v(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 31*z**2 - 203*z - 104. Let d be f(-22). Let v(b) = -6*b**2 + 36*b + 4. Give v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -1. Let y(z) = 5*z + 3. Determine 4*j(w) - y(w).\nAnswer: -5*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1229006724.\nAnswer: 2, 3, 11, 137, 67961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 14*y - 6. What is o(-17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*(-3)\/18 + 46\/(-42)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 157103474*n**2 + 354*n + 64523.\nAnswer: 314206948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 + -24. Let s = x + 2. Let o = 7 + -4. Solve -3*d - 10 - s = -2*y, o*y = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 not equal to 573388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -21.5 times 2.8\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*x - 38. Suppose 2*p = x + 339. Let t(a) = p - 185 + a + a**2. Give t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19325041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**3 - 3*y**2 + 2*y + 5. Let z be s(-4). Let t(f) = -f**3 - 7*f**2 - 8*f - 5. Let l be t(-6). Calculate the highest common divisor of l and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**4\/5 - 2*c**3\/5 + 14*c**2\/5 + 26*c\/5 + 12\/5 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165828.\nAnswer: 2, 3, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 899 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6724507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -150 - -152. Let c(m) = 12*m**2 - 22*m**2 + 7*m**2 + 11*m**o. Let r(v) = -4*v. Determine r(c(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**3\/2 - 197*f**2\/2 - 5088*f - 23040 = 0 for f.\nAnswer: -96, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -46*p**5\/7 - 11052*p**4\/7 - 2834*p**3\/7 + 11052*p**2\/7 + 2880*p\/7 = 0.\nAnswer: -240, -1, -6\/23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -38477*b**3 - 3*b**2 + 5*b + 8. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/2, -1\/3, -0.2, -2\/7, 3093?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**5 + 2550*b**4 - 7680*b**3 + 7690*b**2 - 2565*b.\nAnswer: 5*b*(b - 1)**3*(b + 513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 485 by 5.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(14) + (1*sqrt(112))\/sqrt(8) + sqrt(56)\/sqrt(100))\/(4*sqrt(847)*2).\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -590425 (base 12) in base 14?\nAnswer: -293901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 15598*a + 2420*a + 7010*a + 12678*a + 738*a as w*a + l and give w.\nAnswer: 38444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k + 2. Let r be x(-8). What is the highest common divisor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -4*r**3 + 22*r**2 + 93*r - 31. Does 26 divide b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.5 - 6.54. Let j = -10 + 10.1. What is the third smallest value in j, i, -0.4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -91, -240, -641, -1420, -2703, -4616, -7285?\n\"Answer: -21*p**3 - 2*p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - l + 0 + 3)*((-2*l + 2*l + 2*l**2)*(-l + 0 + 0) + 4*l**3 + 3*l**3 - 17*l**3 - l**3 + 0*l**2 + 0*l**2).\nAnswer: 13*l**4 - 13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 218 and 17062.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 1 + l**2 - 2*l**2 to the form h*l**2 + p*l + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 482 is divided by 475.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 7:18 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - 7 - 119\/(-17). Suppose -1 = -c, -2*b = 5*c - j*c - 23. Calculate the least common multiple of b and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -169*j**2*x**2 + 5*j**2*x + 2*x + 2 wrt x.\nAnswer: -338*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - -5. Let d = 32 - 39. Let s = -7 - d. Solve -2*n - r + 3*r - q = s, 3*r - 18 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 120*u**2 - 6 + u**3 - 28*u**2 - 29*u**2 - 24*u**2 - 44*u**2 in the form n*u**2 + c + g*u + i*u**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8587182 and 1457?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42940 is divided by 2332.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 978, 999, 1044, 1125, 1254?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 1, 2\/7, 1\/714?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 9:48 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1127\/230 + -5)*-10. Let s(g) = 56*g - 2. Calculate s(x).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 388768111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**5*a)\/a)\/a**4)**(-45) assuming a is positive.\nAnswer: a**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - -1. Let x be (-3 + 34\/10)*v. Determine k, given that -2\/7*k**3 + 0*k + 2\/7*k**5 + 0*k**x + 0 + 0*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 4 - 2 + (1 - 4 + 4)*(1 - 4 + 2))*(-v + 4*v - v + (-3*v + 2*v + 2*v)*(-5 + 3 + 1)) to the form a*v + w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26809266 and 102.\nAnswer: 455757522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -11 + (-360)\/(-25) - 4\/10. Let i(m) = -12 - s*m - 24 + 59. Let t(v) = v**2. Determine i(t(f)).\nAnswer: -3*f**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 0*j + 64 = 0. Let q = 16 + j. Solve h + q = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 7:12 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -y**4\/12 + y**3 + 3*y**2\/2 + 3*y. Let p be k(6). Let x = 6 + -2. Solve r - p*c = -6*c + 10, r + x*c = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 601572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*p - 426. Let g be (p*2)\/2 + 1. Calculate the greatest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4767 is divided by 80.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 262, 904, 2156, 4222?\nAnswer: 7306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51776367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9560*i - 88018 = -914*i + 136778 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 15*u**2 - 10*u - 16 - 12*u - 8*u**2. Let d be t(-9). What is the highest common factor of 340 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13527, 22923, 32319, 41715?\n\"Answer: 9396*l + 4131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.5 - -5. Let n = -0.1 - d. Which is the third smallest value?  (a) n  (b) -0.4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 10, r: 4}. What is prob of picking 3 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2950, -73, -0.13, 18 in decreasing order.\nAnswer: 18, -0.13, -73, -2950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1926, 7301, 16266, 28827, 44990?\nAnswer: 64761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20.7 - -22. Let a = u + -2.3. Sort -4, a, -0.4 in descending order.\nAnswer: -0.4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 4, n: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + 0. Let k = 16 - c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 + 128. Let s(w) = -28*w - 1. Let p be s(2). Let z = o + p. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208)*2 + -3 + 2 + (-1*sqrt(208)*-3)**2 + (3*(sqrt(208) - (sqrt(208) + -1 + sqrt(208))))**2.\nAnswer: -64*sqrt(13) + 3752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (20\/16)\/(3\/12). Let c(f) = f**3 - 5*f**2 - 3*f + 1. Determine c(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2723 - 2628. Solve 10*d + 45 = x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -624*v + 594*v + 300. What is the smallest common multiple of v and 286?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(22) + (sqrt(66)*2)\/sqrt(3))\/(sqrt(1584) + 1*sqrt(1584))*1.\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -702.03 - -702. What is the second biggest value in c, 66, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r + 3. Suppose -j + 256 = 17*j - 14. Calculate the lowest common multiple of j and i(-8).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 105455b - -6?\nAnswer: 1054565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 + 42. Let j(b) = 2*b**2 - 7*b**2 + 3*b**2 - k. Let v(o) = 3*o**2 + 11. Suppose -20 = -z + 3*s, 0 = -4*s - 10 - 2. What is z*j(u) + 6*v(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-3 - 0)) + (53 - (70 + -36)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 23 = -3*r - 2*m, r + m + 7 = 0. Let s(t) = -t - 2. Calculate the least common multiple of 22 and s(r).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-15 - -22) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 96, 64, -484, -1938, -4688, -9124, -15636?\n\"Answer: -65*d**3 + 132*d**2 + 27*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -31*q + 25*q - 3*v, 13*q + 4*v - 96 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-550)\/(-132) - 1*(-2)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 2112121111?\nAnswer: 2112121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/11364864 and 29\/16128.\nAnswer: 34094592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.06 + -0.26. Let o = -20 + 19.5. Sort i, 1\/6, o.\nAnswer: o, i, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 8, y: 9, w: 2}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 + 43 = -5*l - 5*x, -5*l - 5 = -4*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 196375 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86 + -89. Let d be 8 + i - 276\/55. Does 0 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/1 - -2 - -206)*-4. Let x = p + 1241. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20.9 - 21.2. What is the closest to 0.2 in d, 13, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + -3)*6\/12*-10. Does 48 divide k\/((-110)\/(-7388)) - (-6)\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6163266 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + x = -27*x. Suppose -4*m + h + 11 = x, 2*h = -2 + 4. Solve 3*t = 2*a - 9 - 6, -12 = -a + m*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 - 145*v + 110. Calculate d(-156).\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3512 divided by 68?\nAnswer: 878\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2. Let w(m) = -1754*m**2. Give w(i(t)).\nAnswer: -1754*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8664249 and 396?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36152072\/13 or 2780929?\nAnswer: 2780929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -2  (c) -15  (d) -0.5  (e) 5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) - ((sqrt(133) + 1*sqrt(133)*-6 - sqrt(133)) + sqrt(133) - sqrt(133))) + sqrt(133))\/((sqrt(84)*-1)\/sqrt(12)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + sqrt(17)*-1 + -4 + (sqrt(136) + sqrt(136)*2)\/sqrt(8).\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1284 = -1964*x + 124412 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {d: 4, x: 1, b: 2, r: 3, o: 3, a: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 449.747 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 103?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 528*v + 9420 = -11225 + 581 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13884, -13883, -13880, -13875, -13868, -13859, -13848?\nAnswer: -13835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + -258956?\nAnswer: -258965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 13*l + 3. Give m(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.2 * 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12971\/13 greater than 999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, l: 3, m: 2, z: 2, h: 1, v: 4}. Give prob of sequence vzzo.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 12*j - 5. Let r = -161 - -166. Let h be v(r). What is the highest common divisor of 64 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 929 - 6003 - 26117*u + 31097*u wrt u.\nAnswer: 4980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1295000 to the nearest 10000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10569*j**3*o**2 + 2*j**3*o + 1485*j**3 - j**2*o wrt o.\nAnswer: 21138*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -5, -31, 1, 575, 5 in ascending order.\nAnswer: -31, -5, 1, 5, 14, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 379537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -324, -334, -344?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + -30424646716414\nAnswer: -30424646716414.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -202675 * 0.05.\nAnswer: -10133.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n + 5. Let g(o) = -o + 3. Let p(h) = -5*g(h) + 2*z(h). Let r be p(-4). Let w(c) = -c. Let k(b) = -5*b - 1. Determine r*k(l) + 4*w(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (4\/(-4) + -2). Suppose 4*y - z = 18. Suppose 20 = -y*g + 120. 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(q) = -325*q - 323*q + 3 - 6 + 646*q. Calculate s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 16*i - 59. Let m be d(11). Calculate the highest common factor of m and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291564192?\nAnswer: 2, 3, 23, 132049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 298 and 264475?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*5*(sqrt(1088) + (sqrt(1088)*3 + sqrt(1088))**2 + 2)*1*5.\nAnswer: -1305750 - 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/8812 and 75\/14?\nAnswer: 61684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -702*d - 6135. What are the prime factors of f(-13)?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of h**8\/28 - h**4\/4 + h - 3. Let y(v) be the first derivative of k(v). What is the third derivative of y(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 11:36 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r + 25. Let l be v(-21). Solve l*h + 10 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 2:38 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**3 - 3*a**2 - 5. Let b(s) = s**3 - s**2 - s - 1. Let y = 418 - 415. Determine y*b(c) - n(c).\nAnswer: -2*c**3 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -5\/2*t**2 - 8 - 2*t - 1\/6*t**3. Let c(u) be the first derivative of w(u). Give c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - q + 2 = 3*q, -3*w + q = 4. Sort 5, 0, -2, w in descending order.\nAnswer: 5, 0, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 5:50 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-1)\/(2\/76). Let c = f - 16. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) -8586  (c) 3  (d) -3\/5  (e) -5\/2  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k + 5*k - 4*k)*(-21*k**2 - 2*k**2 + 20*k**2 - 46*k**3).\nAnswer: -276*k**4 - 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -166, -686, -1554, -2770, -4334, -6246?\n\"Answer: -174*u**2 + 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z + 2*z - 862*z**3.\nAnswer: -862*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -257\/26, -4002, 0.02 in descending order.\nAnswer: 0.02, -257\/26, -4002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/3 and 3\/335?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 61515 divided by 557\nAnswer: 61515\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1, -100, -379, -926, -1831?\n\"Answer: -15*r**3 + r**2 + r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5*(-90)\/495*3\/6\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 6*z - 7. Let w(t) = t - 1. What is n(f) - 5*w(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 71.5052, 5, 3\/4, 4\/9, -3\/5, 4 in descending order.\nAnswer: 71.5052, 5, 4, 3\/4, 4\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 1743 = 2*o. Suppose -o = -6*u - 83. Suppose 671 = 13*z - u. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 626*f**4 - 1436 wrt f.\nAnswer: 2504*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**3 + 132*a**2 + 267*a + 134 = 0 for a.\nAnswer: -1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/((w*w**6\/w)\/w))\/w**1)**(-3\/20))**(1\/16) assuming w is positive.\nAnswer: w**(3\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - k = 153620 + 22598, 0 = 2*m + 2*k - 88104. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -80821 and 10.\nAnswer: -808210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 110\/15*3\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 125 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 11388 = 7*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -477 - -431. Let y(i) = -2*i**2 - 96*i + 62. What is the remainder when y(g) is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -20*m**4 + 2128968*m**3 - 2980484*m**2 - 3406320*m + 1703152 = 0.\nAnswer: -1, 2\/5, 2, 106447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*z**4 - 22985*z**3 - 9*z - 3228298 with respect to z.\nAnswer: -8*z**3 - 68955*z**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 4*z + 1. Let q(g) = g**2 + 4*g - 1. Let l(v) = 5*p(v) + 6*q(v). List the prime factors of l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - -23) + (1 - 2) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -52, -101, -148, -193?\n\"Answer: w**2 - 52*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 124640 divided by -1640.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - k + 156 = -1133, 0 = -2*g + k + 2578. What is the remainder when g is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 + 182142*m + 8293927041.\nAnswer: (m + 91071)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -6847*-13\nAnswer: 89011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12245437 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1354536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {y: 1, h: 3, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13*z**3 + 3919*z**2 - 2*z + 133764 wrt z.\nAnswer: 39*z**2 + 7838*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14882560 and 9999220?\nAnswer: 639950080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 0*g**2 + 5*g**2 + g**2 - 3*g**2 - 2*g**2 - 9 + 6*g. Suppose f - 20*f = 133. What is a(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1745*c**3*o**2*y**2 + 117*c**3*y**3 + 14*c**2*o**2*y + c*o**2*y**3 - 13*c*o*y + 11*c*y**3 wrt c?\nAnswer: 10470*o**2*y**2 + 702*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 3)*(-2 - l + 2)*(-5 + 10 - 7)*(-5*l + 17*l + 5*l).\nAnswer: -102*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-88)\/(-220) - (-15)\/(-50). Let g(u) be the second derivative of 7*u + 11\/18*u**4 + 0 + q*u**5 + 4\/3*u**2 + 4\/3*u**3. Factor g(l).\nAnswer: 2*(l + 1)*(l + 2)*(3*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -227 = -243*k - 1104 - 824 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -2. Let n(l) = -l**3 + l**2 + 2. Suppose 94*m + 18*m = -339 - 221. Let f(x) = -2*x**3 + 3*x**2 + 5. What is m*n(k) + v*f(k)?\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b - 2*b + 0*b)*(-68*b + 1012*b - 489*b + 833*b).\nAnswer: -9016*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 15384020869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 1511 = 4*x, 2*x - 758 = h - 3*h. Suppose 2*n - x = 238. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 10 + 0*l**2 - 27*l - l**2 + 16. What is the tens digit of r(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - -1. Suppose l*y - y = 26. What is the remainder when 50 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + 14. Let w = 15 + i. Solve w*p = -4, 2*o + 3*p - 4*p - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 101 - 38. Let l be 1624\/b + 2\/2*4. Let v = -1613\/72 + l. Find the common denominator of -61\/2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 92 = -502. Suppose 0 = 4*j + z + 4*z - 131, x = 5*j - 2*z. What is the common denominator of j and 38*(-2 - (2 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*n - 216 = 288 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r**(2\/9))**(-1\/23))**(3\/11))**(-36))**(-10) assuming r is positive.\nAnswer: r**(-240\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 3, -1592, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-3) - 3*96\/(-54). Solve -u = 4*s + 12, s = -2*s + m*u + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (129\/(-387))\/((18\/(-3))\/(-540)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2328867661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/15*2\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 568 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 321143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -16. Suppose -w + p = -v - 0, -5*v + 4*w = 11. Solve v + 1 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -6 - 11*a - a**2 - 119*a**3 + 130*a**3 + 3*a**2. Let s(p) = -78*p**3 - 12*p**2 + 78*p + 42. Let r(b) = -2*s(b) - 15*v(b). Factor r(f).\nAnswer: -3*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwewwwwwwww. What is prob of picking 3 w and 1 e?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3890*a + 3862*a + 560 = 0 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6258 and 7152?\nAnswer: 50064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -10087  (b) -3  (c) -1  (d) -0.1  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5414575?\nAnswer: 5, 109, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1585695033 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -326.6 + 326.5997937. What is w rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (0 - -3)) + -1 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4076 divided by -4076\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -40, -2, 0.05, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -2787.875?\nAnswer: 2790.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 1 = i + 1, 1 = 2*i + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 182 - 50. Suppose 0*i + 3*i = -c. What is the common denominator of (-21)\/15*70\/i and -103\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddgtididdtbdtbdbbb. Give prob of picking 2 b and 2 i.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a**2 - 3 + 0 - 50*a + 3.\nAnswer: -3*a**2 - 50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 5:05 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 2830*h + 0*h**2 - 1 - 1 - 2824*h. Calculate z(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 52\/24 - (-2)\/(-12). Let r(w) = -13*w**2 - 7. Let a(k) = -4*k**2 - 2. Give c*r(g) - 7*a(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-14) + (-1)\/((-6)\/(-129))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1040314200121 + 4?\nAnswer: -1040314200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -73577.1 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3554793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 902 = -2*t - 2*t, -2*k - 2*t + 592 = 0. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 9.4. Sort 3, w, 6 in ascending order.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -364 by -1.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 = 4*p - 4*w, 3*p = 779139*w - 779140*w - 34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 27636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**4\/4 - j**3 - j**2\/2 - 15722. Suppose -3*v - 14 = -2. What is b(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 527045587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (384\/240)\/(1*(-1)\/(-45)). What is the highest common divisor of k and 5112?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 346.\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vmvvvmvvvmvv. What is prob of sequence vmm?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 3, -49, 0.7, -1 in decreasing order.\nAnswer: 3, 0.7, 0.1, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4}. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -27. Solve -j*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 894 is divided by 272?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 97357.1 tonnes?\nAnswer: 97357100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11671996 is divided by 416857.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -964*p + 2590*p + 3704*p.\nAnswer: 5330*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 110032050 + -10?\nAnswer: 110032040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - (-13 + -2)) + (-2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1341153 divided by -713.\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 402*s + 18. What is a(-20)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/30*-3 + (1551\/705)\/((-67)\/(-7))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3725.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/5))**(2\/13)\/(z**(-5)\/(z**0\/z*z)) assuming z is positive.\nAnswer: z**(331\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-11 + -8 + 14)*1. Let a(b) = -129*b + 106. What are the prime factors of a(c)?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 5, t: 2, k: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 2587  (b) 2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**4 + 43*k**2 + 251*k + 6 wrt k.\nAnswer: -24*k**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, f: 3, q: 1, p: 3}. Give prob of sequence nf.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 7. Let n = -4 - -6. Let h = n - 2.3. Which is the second biggest value?  (a) f  (b) h  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - 47 - 64 + 2*y**2 + 20.\nAnswer: 3*y**2 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13274?\nAnswer: 2, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 246246001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14569488 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6298716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.08 - -0.38. What is the third smallest value in p, 7, 1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*a**2 + 14299*a + 978 + 9952 - 14584*a wrt a?\nAnswer: 4*a - 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2566009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 60 - -24aba4?\nAnswer: 24ac34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 2, 0.3, -1, -711, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1592, -3162, -4710, -6236?\nAnswer: -7740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*o + 6 = -2*z, -1 = 2*z - 3*o. Let s = -1033 + 4135\/4. Which is the nearest to s?  (a) 5  (b) -2\/5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/156104 and 10\/1729?\nAnswer: 1092728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 4  (b) 1\/5  (c) -0.04  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 151 and -129.\nAnswer: -19479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -17*r + 63. Let l(q) = 1. Let f(o) = -i(o) - 2*l(o). Let s be f(4). Put -206, -1, s in descending order.\nAnswer: s, -1, -206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -41, -95, -159, -227, -293, -351, -395?\n\"Answer: c**3 - 11*c**2 - 28*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -28*c**2 + 2*c - 37. Let z(s) = 28*s**2 - 3*s + 36. Let t(m) = -7*h(m) - 6*z(m). Does 13 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 6:29 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/819 and -97\/1170.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15564 and 10.\nAnswer: 77820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 6*b**2. Let w be 1\/(4\/(-3 - -47)). Let p(s) = -6*s**2 + 4*s + 4. Let g(v) = -17*v**2 + 11*v + 11. Let c(f) = w*p(f) - 4*g(f). What is r(c(j))?\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 8661?\nAnswer: 17322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2977 times 0.949\nAnswer: 2825.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*t - 65*t = 56*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.06814 times 1.1?\nAnswer: 1.174954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1309531305 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 6, -4*j = 2*o - 0*j + 12. Let n be (1 - 2) + o + 4. Solve -5 + 2 = -n*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -1059*g**2 + 25*g + 61. What is i(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/355  (b) 4  (c) -2  (d) -4  (e) 0.4  (f) 6\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p + 13. Let z = 3018 - 3025. Let k(i) be the second derivative of i**3\/6 - 9*i**2\/2 + i. Let m(t) = z*k(t) - 5*q(t). Determine m(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44 + -13.68\nAnswer: -57.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 322847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*w + 69 = -162, -522 = -2*z - 2*w. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 656, 2661, 5996, 10655, 16632, 23921, 32516?\n\"Answer: -u**3 + 671*u**2 - u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1.30061 or -267?\nAnswer: 1.30061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**19\/z*z)**23\/(z**(7\/2)*((z*z\/(z\/z**(-6\/7)))\/z*z)\/z) assuming z is positive.\nAnswer: z**(6081\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4093 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -2*k**4\/3 - 2*k**3\/3 + 6*k. Factor d(x).\nAnswer: -4*x*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 14*q + 35. Let b = -116 + 113. What is the least common multiple of 32 and t(b)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -6, -5*j = 5*a - 22 - 43. Calculate the remainder when 43 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 275889*v**3 - 19 - 275892*v**3 + 1.\nAnswer: -3*v**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (576\/(-30))\/(-4)*20\/3. Suppose -5*p + f = g, -g + 4 = -4*p + 17. Solve -g = -5*w + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -153 - -269. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29430*k**2 + k**3 + 14722*k**2 + 7*k**3 + 14708*k**2.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajp when three letters picked without replacement from jajppsyyepay.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/(-8))\/(12\/(-48)). Let v = p + 9. Suppose -4*q = -6*q + 10. Put q, -2, v in descending order.\nAnswer: q, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10318477 to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 6*q**2 + 5*q - 10. Let s be p(-7). Let w(m) = 5*m**2 - 4*m + 11. Let x(t) = 0*t - 2 + 0 - t**2 + t + 1. Let g(v) = w(v) + 6*x(v). Give g(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3940277 is divided by 1276?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 5. Suppose h - t*h = -55. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -175949 + 175950. Suppose -d - 11 = -3*b + 2, 2*b = -d + 17. Suppose -b*p + p - q = -20, -q + 2 = -p. Solve p*x = v + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34242859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37 + -36. Let n(b) = -b - 2 + 1 + l. Let s(c) = -21*c. Calculate n(s(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2509, -2530, -2537, -2524, -2485, -2414, -2305?\n\"Answer: s**3 + s**2 - 31*s - 2480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18444 - -19428. Calculate the lowest common multiple of 102 and q.\nAnswer: 16728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.414238 centimeters in micrometers?\nAnswer: 54142.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5*b + 5. Let k be w(-6). Suppose 6*r - r - 13*r = -72. What is the second derivative of -5*a**4 - k*a**4 - 24*a + r*a**4 wrt a?\nAnswer: -372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -30 + (-159 + 154 - (-18 - 0 - -2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 565*u - 611*u = 213*u - 518 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g**3 - 8*g**3 + 11*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6874 (base 12) to base 9.\nAnswer: -16827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 749859 divided by -31\nAnswer: -24189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g - 9 = 0. Suppose 2*x = g*x. Let i be ((-108)\/15 - -7)\/((-4)\/30). Is x <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f\/(f*f**30\/f))*f)\/f**(21\/2) assuming f is positive.\nAnswer: f**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*(-7)\/84*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24423 + -24422.6. Which is the closest to -0.03?  (a) 0.9  (b) 12  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4*z**2 + 6*z - 13. Let r be d(-3). Suppose r*p = 26*p - 5796. Calculate the remainder when p is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15104524 divided by 172.\nAnswer: -87817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6209 less than 0.144?\nAnswer: -6208.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 166893316325 take away 0.01756?\nAnswer: 166893316324.98244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l + 1738 - 1738.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13355090 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -104, -102, -100, -98?\n\"Answer: 2*s - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2921 or -7132?\nAnswer: -7132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(1584) - (sqrt(1584) - (-2 + sqrt(1584) + sqrt(1584))*-1))*3)**2 + (-6*(sqrt(539) - -3*sqrt(539)) + 0)**2.\nAnswer: -864*sqrt(11) + 367524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23\/39 + -1\/13. Which is the smallest value?  (a) -2\/7  (b) f  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-100)\/(-28) + 12\/(-21). Suppose -h - x + 2 = 0, -68*h - b*x = -73*h + 26. Solve -1 = 3*f - 5*z - h, 3*z + 5 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*t**2 - t**2 - t - t**2 + 0*t**2 - 3*t**3 as j*t + w*t**3 + p + k*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 1. Let o(x) = -3. Let w(g) = o(g) + 4*u(g). Let f(y) = 3*y + 7. Determine -f(v) + 6*w(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7305039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2 = 0, 2*a - 55 + 47 = i. Solve -d - 17*s + 19*s = -8, -4*d - a*s = 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3 - 1 = 0. Let z be 5 + p*(2 - 1). Suppose -3*o - 14 = -m, z*m + 3*o = 20 + 6. What is the highest common factor of m and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 6*t. Suppose -5*l - 4*h = -9*h - 85, 4*l - 66 = 2*h. Let k(u) = 13 + 35*u + 18 - 47 + l. Determine o(k(r)).\nAnswer: 210*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 59*g + 294. Let c be k(-5). Suppose 4*b - 5*o - 25 = 0, o = -b - 2*o + 2. What is the tens digit of c + -1 - (-85)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + -2 + (-1*(sqrt(128) + -2 + sqrt(128) + sqrt(128)))**2).\nAnswer: -5770 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 + -23. Let d = -9 - -16. Let i = y + d. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 12*n = 22 + 66 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25 - 68?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j - 2 - 64*j**2 - 4*j.\nAnswer: -64*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2741080 divided by 278?\nAnswer: -9860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 285 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4330110441 - 24?\nAnswer: -4330111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 5:24 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*j = -1345 - 165 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 23?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1878598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 188160481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -35+2543828216\nAnswer: 2543828181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11023001 (base 5) in base 3?\nAnswer: 11211211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 5*g - 1. Let m(t) = -2220*t**2 + 25*t + 1731. Let s(z) = -m(z) + 5*y(z). What is the first derivative of s(r) wrt r?\nAnswer: 4440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 11*o**2 + o - 3. Let n = -2 - -3. What is the smallest common multiple of n and p(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 11*k + 28. Let m = -56 - -66. Let t be b(m). Let x = -38 + t. Solve x = 2*d + 2*c + 12, c = -2*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 11:36 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -61 - -62. Suppose -2*k + 13 - c = 0. Suppose k*p - 737 = 85. What are the prime factors of p?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 10:40 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/40 and -101\/3856650.\nAnswer: 15426600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4334 divided by -8.\nAnswer: -2167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*y + 106*y = 318336. Is y\/(-24) + -1*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4788, 18967, 42604, 75705, 118276?\nAnswer: 170323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.29 + -0.79. Which is the closest to g?  (a) -5  (b) 0.4  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 5) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5552653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.27 and -285554.\nAnswer: -362653.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/30)\/((-4)\/10*240\/128)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 351900601.\nAnswer: 13, 139, 149, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 0, 13*h + 3474 = a + a + 15*h. Calculate the lowest common multiple of a and 1158.\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + -65. Let x = k + 85. Calculate the remainder when 18 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/4*(-5)\/((-30)\/(-52)). Suppose -f*l + 14*l - 5 = 0. Suppose l*o = -5*k + 400, 4*k - 2*o - 360 = 2*o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (197 + 20 + 184)*(-a + 3*a - a)*(3 - 4 - 4 + (1 - 1 - 2)*(-1 - 5 + 4)).\nAnswer: -401*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -m**7\/210 - m**5\/40 + 2*m**3\/3 - 3. Let g(o) be the third derivative of j(o). What is the second derivative of g(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -1 - g**2 + 13 - 11 + g + 0. Suppose 2*z - z = 2. Calculate x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 3*c - 5, 5*c - 2 - 1 = 4*u. Let w(i) = 15*i**2 + 2*i - 2. What are the prime factors of w(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199422661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1674090 is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 241*h**2 + 51584*h - 51320115.\nAnswer: 482*h + 51584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k + 12*k - 8*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 477ac8?\nAnswer: -477ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 1) + (10 - (-6 + 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1280101\/300 + 4267. What is the common denominator of v and 137\/270?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2662 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (7*(-105)\/490)\/(2\/7*210\/(-28))\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1052 - 1052.1. Which is the nearest to h?  (a) 0  (b) 1\/39  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0855 - 0.0803. Round c to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-13\/3))\/n**(1\/25))\/((n**(-12)*n)\/(n**(-11\/3)*n)) assuming n is positive.\nAnswer: n**(124\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 220944.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -13 - 2 - -7 - (-4 - 1). Let t = 4.15 + 1.85. What is the biggest value in 0.09, h, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 4*o - m, 19*o - 16*o + 3*m - 27 = 0. Suppose 17*n - 5913 = -o*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10398885 divided by -15315.\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 197, 775, 1711, 2993, 4609, 6547, 8795?\nAnswer: 11341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -982 + 986. Find the second derivative of -13*o**4 + 263*o + 0*o**4 + 56*o**2 + 10*o**4 + l*o**4 - 168*o**2 wrt o.\nAnswer: 12*o**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 156 and 424684.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**2 - 738712528*u + 34106012439009424 = 0. Calculate u.\nAnswer: 92339066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 11\/(-3))*12\/14. Suppose j*g = 7*g + 6. Put 9, g, 3 in increasing order.\nAnswer: g, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2386 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 189 and 81.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 + (4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 take away -1563597?\nAnswer: 1563631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -9*b**3 + 116*b**2 - 7*b + 99. Calculate i(13).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98273395.\nAnswer: 5, 11, 53, 33713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 241 + -236. Solve 12 = -w*n - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15269718.\nAnswer: 2, 3, 29, 127, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16445.22 millennia to months.\nAnswer: 197342640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -13 - 7. Let d = 5.7 - 2.7. Let g = -127\/3 + 43. What is the nearest to g in d, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yrrrrrryry. What is prob of picking 3 r?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 54*x**3 - x**2 - 13*x + 77. Is o(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1736 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qxqqqqqqqqqqqqqqqxq. Give prob of picking 1 x and 3 q.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 147171709 to the power of 1\/2, to the nearest integer?\nAnswer: 12131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**3\/9 + 68*j**2\/3 + 15968*j\/9 + 45760\/3 = 0. Calculate j.\nAnswer: -44, -10, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 8*l - l)*(-2*l**2 - l**2 + 5*l**2 + (4*l + 0*l - 2*l)*(-2*l + 5*l - 2*l) + 15*l**2 - 14 + 14 + 0*l**2 - 5*l**2 - 2*l**2).\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**7\/42 - 55*j**6\/24 + 74*j**5\/3 - 50*j**4 - 4*j**2 - 81*j - 3. What is a in w(a) = 0?\nAnswer: -60, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2877*i**3*j*x - 149*i**2*j*x + i**2*j + i**2 - 2*i*j*x + i wrt i?\nAnswer: -17262*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p - 44. Let x(i) = -2*i - 15. Let v(s) = -3*q(s) + 8*x(s). Let m(g) = -g + 1. Let d be (-3)\/2*32\/12. Let t be m(d). Calculate v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(198) + (sqrt(198) - -1*sqrt(198) - sqrt(198)))\/sqrt(11) - (sqrt(18) + (sqrt(18) - sqrt(288)))*5)\/(sqrt(144)\/sqrt(4) + sqrt(576)*-2).\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0153197 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h - 5*h + 2*h)*(-h - 24*h - 2*h + 2 + (-2*h + 2*h + 2*h)*(-2 - 1 + 5)) in the form w + y*h + i*h**2 and give i.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -30*k - 112. Suppose -2*x + 65 = -57. Calculate the remainder when x is divided by q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(-6)\/r))\/r)\/(r**(3\/5)*r)*(r*r**(-1))**31 assuming r is positive.\nAnswer: r**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 7*b**2 + 4)*(14 - 14 + 11*b**3).\nAnswer: -77*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4798487689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 63.83276cm?\nAnswer: 0.6383276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/38 in 2, -3, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a9 (base 11) to base 3.\nAnswer: 222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 9*y - 12. Calculate o(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 21?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 166 divided by -74837.\nAnswer: -166\/74837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -128 - -127. Let w be ((p - -3) + 8\/(-6))*-9. Let x be (104\/(-40) - w\/(-15)) + 15. Calculate the greatest common divisor of 32 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -7) + 2 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 2*p**4\/3 - 628*p**3 + 478034*p**2\/3 - 5393264*p + 147507488\/3 = 0.\nAnswer: 19, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26514*d**3 + 13255*d**3 + 13262*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -0.12  (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6932174 and 579?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 630175547 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -5*s - 164, 0 = 4*s + 5*v + 49 + 69. Let m = 30 + s. Let o(n) = 3*n**3 + 2*n**2 - 2*n. Give o(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29106501 and 7.\nAnswer: 203745507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3 = 3*o. Let d be o\/2*(-2 + 0). Solve 0 = d*b - 2*b - 2*i - 9, i = -2*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 103*y**2 + 324*y - 281. Is v(69) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 160 and 49520.\nAnswer: 99040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 7:24 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56212*u**2 + u - 68389 wrt u.\nAnswer: 112424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -104 - -166. Suppose 957 = -5*q + 4*a, q = 5*q + 2*a + 750. Let l = m - q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + -5. Let b = 10 + o. Sort 0.1, -3\/8, b in ascending order.\nAnswer: b, -3\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35617800 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 14e5b?\nAnswer: -14e5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**9\/i))\/i*i*i**(6\/11)*i*(i**(-5)*i)\/(i*i*i**(1\/6)*i) assuming i is positive.\nAnswer: i**(-833\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 91 + -91. Let i(t) = t**2 - 4*t - 1. Let u be i(5). Suppose k - 4 = -u*d - k, 3*d - 3*k - 21 = s. Solve -d - 2 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2 = 2*y, -2*o - 28 = -4*y - 0*o. Suppose 146 = f + f - 4*n, -5*f - y*n + 290 = 0. What is the remainder when f is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + 0. Let m = 12 - q. Let r(o) = m*o - 3*o + 5*o - 2*o + 1. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 315007935 at most 315007936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/1199, 0, 0.0513.\nAnswer: -4, 0, 2\/1199, 0.0513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 759 and 117767061.\nAnswer: 1295437671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaqqaqqaaeqaqawqqw. Give prob of sequence ww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39109941.\nAnswer: 3, 13, 31, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -20\/3168523 and 17\/915.\nAnswer: 47527845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -2*d + c - 2*c, -2*d - 10 = 5*c. Let t = d + 8. Let x(i) = i**3 - 4*i**2 - 2*i + 2. Calculate x(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.15 - 0.25. Let v = -16.6 + z. Let t = v + 20.00000042. What is t rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001112222 (base 3) to base 12.\nAnswer: -2a9b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11051 - 154633\/14. Let q = -112 + 102. Find the common denominator of j and (4\/q)\/(4\/380*-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(1 + -3) - (-600)\/16. Let j = u + -35. What is the closest to 1\/2 in j, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 146113302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8)\/10)\/((-2)\/(-25)). Let n = 18 + u. Suppose 0 = r - 9 - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35285 + 3847.\nAnswer: 39132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11966329 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8*(1 + 2)\/6. Suppose w*r - 48 = 4. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -63*b - 1195. Let q be p(-19). Solve q*x - 2*x + 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/1080 and 77\/4140.\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of 9*o**4\/8 + 29*o**2\/2 + 13. Let w(g) be the second derivative of q(g). Let f(h) = 2*h. Calculate f(w(z)).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of -v + 1647. Let l(k) = -k - 5. What is -14*d(y) + 2*l(y)?\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3976*b - 11955*b + 3969*b = -3976*b - 1122 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the third derivative of 0*b**5 + 0*b**3 + 3*b**2 + 0 + 1\/120*b**6 - 1\/24*b**4 + 0*b. Find the second derivative of i(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 19 - 27 = j, 0 = 4*i - j + 17. Let y = 0.7 + -4.7. Let b(v) = 17*v + 128. Let r be b(-7). What is the biggest value in r, 1, i, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, m: 3}. What is prob of picking 3 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*a**2)*(-792 - 98 + 183 - 260).\nAnswer: 1934*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, s: 3, k: 5, u: 1}. Give prob of sequence yk.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y - 3. Let v be (4\/(-3))\/(18\/27). Let h(u) = 9*u - 7. What is v*h(t) + 5*s(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 11, h: 2}. What is prob of picking 1 h and 2 d?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 + g**2 - 4*g**2)*(-4*g + 5*g + 2*g) + g**3 - 3*g**2 - 2*g**3 + 2*g**2.\nAnswer: -4*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of q**7\/231 + q**6\/33 - q**5\/110 - 5*q**4\/66 - 531*q. Find v, given that w(v) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*s = 5*z + 310, 209 = 4*z - 5*s + 147 + 130 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2408, 4815, 7236, 9677, 12144, 14643, 17180?\nAnswer: 19761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 5*q**2 + 6*q - 6. Let m be n(5). Suppose f + 30 = 209. Let d = f + -83. What is the highest common factor of d and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (580\/464)\/(75\/(-48))*(-1040)\/352.\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(416)*-1)\/(sqrt(6)\/sqrt(27)) + 2)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 5, -8, 1, 13, 126 in decreasing order.\nAnswer: 126, 13, 5, 3, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -428 - -1797\/4. Calculate the common denominator of (927\/(-216))\/((-42)\/(-168)) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that x**2\/4 + 38*x + 5607\/4 = 0.\nAnswer: -89, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31\/3 - 155\/3. Suppose -3*y + 2*f = -129, 0*y = -2*y + 5*f + 97. Let i = y + h. Which is the second biggest value?  (a) i  (b) 1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/5 + 1568\/20. Let m = q + 148. Suppose b = -b + m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**2 + 2*s**2 - 4*s**2)*(-1 + 2*s + 1)*(8*s**2 + 5*s - 5*s).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*r + 9*r**2 + 68*r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -232 - -232. Let u be (-4 - -3)*39 - (q - -4). Sort -4, -3, u.\nAnswer: u, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.031 and 2315605.\nAnswer: -71783.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zztt. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -2, -809.38, 2?\nAnswer: -809.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15751 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29 (base 16) to base 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -77.3.\nAnswer: 15.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1440 times 8797?\nAnswer: -12667680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**2 - 4*a - 1. Let v = -2810 - -2815. What is the lowest common multiple of v and b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 529356527 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of s**5\/20 - 7*s**4\/12 + s**3\/3 - s**2\/2 - 4*s. Suppose 4*q = 4*o + 40, 6*o = -2*q + o - 1. List the prime factors of t(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*x**3 + 2*x**3 + 3*x**3 + 4*x**3 - 2*x**3 - 4*x**3 + (-3*x**2 - 2*x + 2*x)*(-23 - x + 23) to p*x**3 + j + s*x**2 + i*x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 618326563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2 = 8. Let z be (y + 30)*22\/1274. Let v = 2\/637 - z. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2878169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 9. What is the second derivative of 1 + 0*m**2 - 2*m - m**2 - z wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o**2 + 4*o**2 + 0*o**2)*(3 - 3 - 2*o) + 3*o**3 - o**3 - 3*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m - 12*m + 207*m**3 - 203*m**3.\nAnswer: 4*m**3 - 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -912 divided by -19\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x - 2. Let c be s(5). Let o = -2871 - -2873. What is the greatest common factor of c and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-9)*f*f\/(((((f\/(f\/f**(-1)))\/f*f*f)\/f)\/f*f)\/f)*f*f*(f**20\/f)\/f*f*f**(4\/13))**(-4\/9) assuming f is positive.\nAnswer: f**(-100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-9200)\/207)\/40)\/((-5)\/2).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-419*n - 1344*n**2 + 769*n - 348*n)*(0*n + 0*n - 2*n) to the form h*n + r + v*n**3 + q*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 5799?\nAnswer: 5799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*i - 4 = -37*i, -4*j - 4*i = -36. Solve 2*v - 1 - j = u, -21 = 5*u - 4*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -27, 140, 593, 1476, 2933?\n\"Answer: 24*b**3 - b**2 + 2*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 886 is divided by 886.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (69*k**2 + k + k - 2*k)*(1 + 3 - 7) to i*k**2 + u + l*k and give i.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -56*r**4 + 32*r**3\/3 + r - 53. What is the third derivative of s(g) wrt g?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t**2 - 1681*t - 125260. What is o(399)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/10 + 2\/(-4). Suppose l = 2*y - y - 63. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 440124 is divided by 1497.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 - 29*z**2 - 102*z - 68. Calculate the remainder when l(-26) is divided by 183.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 584509, 2338059, 5260645, 9352267, 14612925, 21042619, 28641349?\n\"Answer: 584518*a**2 - 4*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/11 or -12798.9?\nAnswer: -12798.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.34 + 0.04. Let n = f + 0.4. Let j = 92102 - 92104. Sort -2\/5, n, j in ascending order.\nAnswer: j, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 52*i + 318. Let p be t(-6). Let s(m) = -m - 1. Let k be s(-4). Solve -k*g = -p*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**2*l + 522*i**2 - 75*i + 10*l wrt i.\nAnswer: 2*l + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2 = -6. Let z = 719\/21 - 104\/3. Which is the biggest value?  (a) q  (b) 2\/17  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2272 - -49873\/22. Let w = 13 - 5. What is the common denominator of y and -1 - (10\/w)\/(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -7*m + 2. Let g(v) = 20*v - 6. Let d(c) = 6*g(c) + 17*y(c). Let p be d(4). Find the third derivative of 3*q**p + 5*q**5 + q**2 - q**2 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 45, 2, 4, -0.1, 38, 556 in increasing order.\nAnswer: -0.1, 2, 4, 38, 45, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 7*h**2 + 8*h - 11. What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472094.\nAnswer: 2, 7, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.9299 - 0.0701. Which is the nearest to 0.3?  (a) -0.2  (b) 0  (c) l  (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9896.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 7, n: 2, k: 2, i: 1, d: 4}. Give prob of sequence in.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -z**6\/360 + 5*z**3\/6 - z. Let f(s) be the second derivative of g(s). Let r(d) = 10*d**2. Give f(r(c)).\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 3*x + 3*q = -54, 32*q + 59*q + 28 = -5*x - 1266 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -17  (c) -447  (d) -1\/6  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 - (-60 - -56) - -99.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 80 - -72. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4029.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3*(sqrt(204) - (sqrt(204) - 1*sqrt(204)))*-4)\/(sqrt(72)\/(sqrt(384)*1)).\nAnswer: -480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 6:27 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 682 and 7378.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3413 is divided by 650?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1711 + 1707. Which is bigger: h or -480\/119?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - 4*o + o)*(-2*o + 0*o + 3*o) - 2*o + 2*o - o**2 + 3*o**2 + 6*o**2 - 5*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1\/8  (b) 0.1  (c) -5  (d) 6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8642177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 7:13 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oosoosoo. Give prob of picking 1 s and 2 o.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 102*h**2 - 3432 + 3432 + (-h + 0*h + 0*h)*(2*h - 2*h + 2*h).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (3 + 5 + (-2 - -3) - (64 + -45)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2*v - 4*v + 4*v)*(-1 - 3 + 2) + (-1 - 1 + 3)*(2*v - 3*v + 0*v) - 3*v - 3*v + 4*v)*(25*v**2 + 29*v - 29*v) to r*v**3 + s + h*v**2 + j*v and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p - 4*p - 6960 = 0. Suppose -3*b + p = 2*b. What is the highest common divisor of 29 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 23  (b) -5  (c) -7  (d) -0.2  (e) 0.454\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -53441 (base 6) to base 9.\nAnswer: -11007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 28\/30 - 1644\/2740. Factor -1\/3*n**3 - n**2 - m - n.\nAnswer: -(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -7*d**6\/120 - 9*d**5\/20 - 2*d**2. Find the third derivative of r(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31507 (base 15) to base 7.\nAnswer: 1220632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3543165 (base 7) to base 15\nAnswer: -8c9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42484\/11241 + -2\/1249. Let k be (-1)\/4 - (-82)\/(-36). Let s = u + k. Which is the second biggest value?  (a) 3  (b) s  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1720 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -1816  (c) 1  (d) -149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -7\/4*a**2 - 1\/4*a**3 + 1\/4*a**5 + 0*a + 1 + 3\/4*a**4 = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000064225 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -119  (b) -0.027  (c) -59  (d) 0.5  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220 and 1452.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4160 = c + 7*c. What is c rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + 15\/40*10. What is the third biggest value in b, -0.1, -8, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.228*0.1\nAnswer: -0.1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-3))\/((-2)\/84). Let o = q - 7. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 11:23 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12*y - 120?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 142, 235, 370, 559, 814, 1147?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*x = -2*v + 1416, -2*v + 5*x = -1425. Suppose -2*r - 3*f + 687 = 0, -2*r + 4*r - 3*f - v = 0. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 552 and 8188?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iuqvivivuuuiiiqiuiii. What is prob of sequence iq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(-2*sqrt(175)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 96 - 3 = 4*j, -j - 5*i = 8. Calculate the remainder when 33 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 16. Suppose -4*m = 24, 20*n + 5*m = 21*n - 72. Calculate the least common multiple of n and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 774827834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.59308 and 633?\nAnswer: -375.41964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*g + 5*i, 6 = 11*g - 7*g + 3*i. Solve g*j + j = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 19. Let l(g) = -g**3 + 2*g**2 + 4*g - 3. What is l(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 40*n + 8. Let y be r(40). Let m(h) = -2*h**2 + 21*h + 29. Let t(z) = z**2 - 11*z - 15. Let l(d) = -4*m(d) - 7*t(d). Determine l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - 5*t - 132. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 105 and 5425?\nAnswer: 16275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 4803, 97 in decreasing order.\nAnswer: 4803, 97, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, q: 1, k: 1, r: 1, g: 1, w: 2}. What is prob of sequence wxk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2168432 divided by -5?\nAnswer: -2168432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -150.6 - -229.88. Let z = d + -84. What is z rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33311*a**3 - 61*a**2 - a - 53?\nAnswer: -199866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(12\/(-18))\/(12\/(-54))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -451*y - 35770 = -225*y + 504*y for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.042 + -844379\nAnswer: -844378.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/72 and -127\/11832?\nAnswer: 35496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 0 - 3*l**2 - 1\/6*l**3 + 1\/6*l**4 + 1\/60*l**5 + 0*l. Let q be m(-4). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/126 + (-4)\/18. Let w = -3.9 + 3.6. What is the third biggest value in m, w, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 14*c - 944. Let j be p(69). Solve -2*s - s = -4*h - 8, -3*s = 2*h + j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 188\/36 - 2\/9. Suppose -12 = 4*d, -a*z + 6 + 1 = d. Suppose 2*f - 6*b - 18 = -2*b, -3 = 4*f + 5*b. What is the remainder when f is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(450)*1 + sqrt(450))*5)\/(6*sqrt(10)*-1))\/(-6*sqrt(900)*1 + ((sqrt(900) - 1*sqrt(900))*6 - sqrt(900))).\nAnswer: sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -282555 divided by -455?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -9*k - 150. Let r be (40\/(-12))\/((-24)\/(-144)). What is the remainder when m(r) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 8, n: 5}. What is prob of sequence nxnx?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -340433 + -4000?\nAnswer: -344433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -151237, -151229, -151219, -151207, -151193, -151177, -151159?\n\"Answer: n**2 + 5*n - 151243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.77279784 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1301381413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2373, 9443, 21231, 37743, 58985, 84963?\n\"Answer: t**3 + 2353*t**2 + 4*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4919878.096 rounded to the nearest ten thousand?\nAnswer: -4920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7047847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 224181547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5593474303 to the nearest integer?\nAnswer: 74790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2\/3*o**3 + 4\/3*o**4 - 12*o**2 + 0 - 6*o = 0?\nAnswer: -3, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1044 + -1047. Sort f, -37, 1 in decreasing order.\nAnswer: 1, f, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -74, 12, -4 in descending order.\nAnswer: 12, 4, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-17\/6)\/((c*c**(-11\/2))\/c))\/(c**(-1\/18)*c**(-4\/11)) assuming c is positive.\nAnswer: c**(611\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, -14, -12, 3 in increasing order.\nAnswer: -14, -12, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -z - 1. Suppose -z*b - 4*h + 5 = -1, 0 = -5*b + h + 11. Let f be (4\/6)\/(b\/3). Is f < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 6*o - o = 15, -6 = 3*a - 2*o. Suppose -i - i - 4*z + 32 = a, -6 = -2*z. Solve 2*w - i = -2*k, 3*k - 5*w + 6 = -w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 + 6*u - 2. Let t be (-3)\/(-24) - (-434)\/112. What is h(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 2 = 0, 3 = 4*a - 2*p + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3313399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0*5\/10)\/1. Solve d = 5*c - 2*c - 3*m - 9, 3*c = m - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2298*d**3 + 334*d - 332*d + d**2 + 836*d**3.\nAnswer: 3134*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(30)\/(sqrt(10) + sqrt(10) + 1*sqrt(10)) + 4) + (sqrt(36)\/(sqrt(84)\/sqrt(7)) - (sqrt(90)\/sqrt(6))\/sqrt(5)).\nAnswer: -4 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 2*p**4\/5 + 17948*p**3 + 1166328*p**2\/5 + 2063444*p\/5 + 986854\/5 = 0.\nAnswer: -44857, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3943 is divided by 162?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**(2\/7)\/j)\/j)\/j)\/j**(-3)*((j*j*((j*j\/((j\/(j*j**(1\/3))*j*j)\/j))\/j*j)\/j*j)\/j)**(-22\/5))**(-8) assuming j is positive.\nAnswer: j**(8384\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-594 + 50*s - 42*s + 53*s - 74*s)*(-s**3 + s**4 + s**3).\nAnswer: -13*s**5 - 594*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -h**2\/2 - 74. Let q(c) = 278*c**2. What is m(q(f))?\nAnswer: -278*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -10) + (7 - -1) - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a second in milliseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6382 + -4432. Is w - -4 - 2\/((-4)\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -18. Do 1\/2 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 11:37 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1408350 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -7*c + 4. Is 22 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + r + 0*r)*(0*r - r + 0*r + (-r + r - 2*r)*(1 + 3 - 2) + r + 2*r - 4*r + 0*r - r - r + 3 + 2*r + 3 - 3).\nAnswer: -18*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**4\/6 - 2*j**3 - 9*j**2\/2 - 2*j. Is i(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/10 - 113*v**2\/5 - 1254*v + 12996\/5.\nAnswer: -(v - 2)*(v + 114)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 11\/30625?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -473 (base 8) in base 9?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) - 2*sqrt(99)*2)*-2 + 0 + ((sqrt(891) - sqrt(891)*2*-2) + sqrt(891) - (sqrt(891) + -3*(-1 + sqrt(891)))))**2.\nAnswer: -540*sqrt(11) + 89109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(-16*i - 7*i**2 - 1 - 53*i + 61*i).\nAnswer: -14*i**2 - 16*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2565 - -2565. Let d = -912.5 - -913. Let k = 40 - 198\/5. Which is the nearest to k?  (a) d  (b) -2\/21  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*m - 12*m - 46. Let r(x) be the third derivative of 0 + 7\/24*x**4 + 5\/6*x**3 + 0*x + 6*x**m. Differentiate r(b) with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 743948?\nAnswer: 2, 185987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3 - 3 - 2 + 3 + (-2 - 4 + 5)*(-2 - 2 + 2) + 0 - 1 + 2 - 2 + 3 - 2)*(2*x**2 - 2*x**2 + 2*x**2).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/117?  (a) 0.4  (b) -0.1  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -652 in -34, 2\/19, 3\/7?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/5, 5, -1, 1\/6, 2.17, 0.5, 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -22*x**2 + 32*x - 157. Let u(v) = 7*v**2 - 11*v + 52. Let i(n) = 2*l(n) + 7*u(n). What is the remainder when i(5) is divided by (74\/8)\/(1\/4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -164716 divided by 1\nAnswer: -164716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/30*(-2 - -26). Let x be (4\/(-12))\/((-1)\/(-6)). Is x > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 20404 - 5?\nAnswer: 203ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n. Let p(c) = -3*c. Let y(o) = -4*o. Let d(v) = -3*p(v) + 2*y(v). Calculate d(m(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 388 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) - (-3*(sqrt(84)*1 + sqrt(84)) + sqrt(84)))\/(5*(sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3449724 divided by -1334.\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 + 231130?\nAnswer: 231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*m**2 + 3*m**2 + m**2 + m**2 - 2 + 2 + (4*m**2 - m**2 - m**2)*(2 + 3 - 3))*(7*m - 2*m - 4*m) to u + q*m**3 + p*m**2 + r*m and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10312 - -10312.5. Let r = 3 - 17\/6. Which is the closest to r?  (a) -5  (b) z  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, 217, 326, 437, 550?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*j**3 + 29*j**3 + 25*j**3)*(2 + 2 - 2).\nAnswer: 96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 369570238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-20)\/8*(-12 + 0)\/2. Suppose r*v - 10*v - 5 = 0. Is 207 + -8 - (-1 + v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 424201 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80836, 161662, 242488?\nAnswer: 323314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 34\/272*0\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 4:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/2260757 and 5\/3012.\nAnswer: 27129084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132 - (-9 + (88 - 41)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, e: 1, s: 13}. What is prob of sequence hs?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/(r**(5\/4)\/r))\/r)\/(r\/((r*r\/(r**(2\/15)*r))\/r)*r))\/(r*r\/(r\/(r*r**0\/r)))**37)**(5\/11) assuming r is positive.\nAnswer: r**(-2363\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -4*f + 8, 0 = 1854*f - 1860*f + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (682\/(-1023))\/((-34)\/2907).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -4*l - 10. Suppose -v - 3 = -l. Let p(n) = 4*n - 12 - v*n + 3 - 4*n. What is p(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 104 and 37245.\nAnswer: 297960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-b - 2*b + 4*b)*(-10*b + 6 - 6) + 2*b**2 - b**2 + b**2 + b**2 - 3*b**2 + 3*b**2 - b**2 - 4*b**2 + 4*b**2 in the form d + x*b**2 + q*b and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/4  (b) 1\/3  (c) -0.198  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4428934179 take away -0.9?\nAnswer: -4428934178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*m + 4366 = 3567 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 614982 divided by 3\nAnswer: 204994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47900416 by 374222.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -30, 4, -47, 21.\nAnswer: -47, -30, 2, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -53 - -17. Let y = -18 - c. What is the smallest common multiple of -1*1 - (-1 - 14) and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 2. Let k(h) = h**3 + 13*h**2 + h + 15. Let p = -17 + 7. Let n be 126\/p + (-16)\/40. Let t be k(n). Calculate w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -63*l**3 - 95*l**3 + 21 - 55*l**3 + 3*l**2 wrt l?\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1062 - -1062.847. Let s = -0.9 + n. Round s to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*p - 7*p**3 - 86*p + 175*p.\nAnswer: -7*p**3 + 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -72 + 75 + 17*p - 6*p**3 + 7*p**3 + (p - 2*p - p)*(p**2 + 4*p**2 - 4*p**2) + p**3 - 2*p**3 + 2*p**3 + 14*p - 14*p + 2*p**3.\nAnswer: 2*p**3 + 17*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 19*h**2 + 31*h + 18. Give f(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1440\/4841 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -44 + 45. Let x be (-2 + 2)\/c + 4 + -8. Let o be (-2156)\/10 + 10\/(-25) - x. What is o rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 5*p + 10, -2*o - p - 14 = o. Let c = -3 + 11. Let y(t) = -c + 13 + t - 1. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/410 and -10\/3.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4*k - 539 = 0. Factor 196 - 40*s + 8*s - k*s**2 - 24*s + 81*s**2.\nAnswer: 4*(s - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*1369.38059\nAnswer: -5477.52236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -167*q + 154*q + 2 - 3*q**4 - 2*q**3 + 5*q**4 to the form v*q**2 + t*q + o*q**4 + n*q**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 35 = -2*z - 101, -4*o - 3*z = -39. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*7 - (-3 - 6)\/(-9). Let n be -3 - y\/(2280\/845). Let u = 1 + 1. Which is the biggest value?  (a) 2\/3  (b) u  (c) -4  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = 4*d - 52 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -70485, -70482, -70479, -70476, -70473, -70470?\n\"Answer: 3*t - 70488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-5)\/6)\/((-97)\/29682*9).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -17*u**3 + 7*u**2 - 17*u - 24. Is f(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -777, -1642 in decreasing order.\nAnswer: 2, -777, -1642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7455209 to the power of 1\/2, to the nearest integer?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6907 * 49\nAnswer: 338443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*n - 1197*n - 189266 = 1382*n for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-76)\/1064)\/((-3)\/(-7)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c + 10409 = 10439. Let z(h) = -2*h**2 + 23*h + 15. Let l be z(12). Solve -5*s = -c*s - 2*u, l*u = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/4*76\/(-190)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.412 * -79.3.\nAnswer: -32.6716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(40)\/(sqrt(24)\/sqrt(3) + sqrt(8)) - 2*sqrt(5)*-1)**2 - (-3 + ((sqrt(405) - (sqrt(405) - (-1 + sqrt(405))))*-6)**2).\nAnswer: -58323\/4 + 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18 + -0.1915.\nAnswer: 17.8085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/27*-3)\/(12\/(-16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1011 (base 5) to base 6\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64724802.\nAnswer: 2, 3, 97, 111211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y + 5. Let d be q(0). What is the third derivative of -d*j**5 + 5*j**2 + 3*j**5 - j**2 - 5*j**2 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -11*j**4\/6 - 2337*j. Let r(a) = -11*a**2 - 7*a. Determine r(n(v)).\nAnswer: -5324*v**4 + 154*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1075.47160868382 - -2.\nAnswer: -1073.47160868382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-17)*m*m**(-10\/9) assuming m is positive.\nAnswer: m**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 830 greater than -1431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/3 + 1 - -4. Which is the nearest to 1\/2?  (a) y  (b) 0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 32 = 2*y. Let x(l) = l + 1. Let u(p) be the third derivative of p**4\/24 + p**3\/3 - 12*p**2 + 2*p. Let r(n) = y*x(n) + 5*u(n). Give r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26271?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -300276963 + -0.35.\nAnswer: -300276963.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -457 by 1.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2290266 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1814662580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + p = 28, 185*j = 181*j + 6*p - 118 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62279 is divided by 3889.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1153459, 4613834, 10381127, 18455338, 28836467?\n\"Answer: 1153459*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2551418 less than -2551416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 824879666*n**2 + 154620183 wrt n?\nAnswer: 1649759332*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -194751, -194752, -194753, -194754?\nAnswer: -194755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 267 is divided by 129.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 7:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**4*o*o**(-2\/5))**(4\/7)*o*o**(-4\/7)*o*(o*o**3)\/o*((o*o**(1\/4)\/o*o*o*o)\/o)**(-34) assuming o is positive.\nAnswer: o**(-4821\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 59539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert e2 (base 15) to base 9.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -206649.806 and 561353?\nAnswer: 768002.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 6, -5*n + 2*j + j - 19 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5\/2 - 65*d**4\/2.\nAnswer: d**4*(d - 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -66 - 104. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.4  (b) -5  (c) -0.2  (d) -3185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 732996 is divided by 14096.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*m + 4*m + 2*j, -5*m + j = -9. Suppose 459 = 3*n + 3*w, 2*w + 74 = m*n - 228. What is the smallest common multiple of n and 10?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) 0.5  (b) -1\/6  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 151485 and 317235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13108*t = 13353*t - 6125 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -c**3 + 36 + 2*c**2 + 41 - 2*c - 77 + 2*c**4 as q*c + l + m*c**2 + k*c**3 + i*c**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.5 + 4.6. Which is the nearest to k?  (a) 4  (b) 0.2  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k. Let o(r) = 2*r - 55519. Give g(o(z)).\nAnswer: 4*z - 111038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-2 + (0 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 813 in -1\/3, -0.4, -1\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -1\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26877837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 1:22 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 2 = -5*w. Let r = -551\/1448 + 1\/181. Which is the closest to w?  (a) 4  (b) -4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - -1)*2\/2. Let d be 18 + -1 + t + 0. Let j be ((-3)\/(-20))\/((-4)\/d). Put j, 2, -0.1 in descending order.\nAnswer: 2, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 10 - 25 = 0. Suppose 2*m + u - 45 = 0, -u - 2*u + 60 = 3*m. Let s = m - 20. Solve 2*f + 16 = -4*a + 6*f, -r*f = s*a - 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 140 in 2\/11, -9, -0.9, -3\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 3*g + 7, 2*y - 5*g + 18 = -3. Suppose -5*u + 148 + 2 = 0. Calculate the highest common divisor of u and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 1. Let r(s) = s**2 + 4*s - 4. Let t(x) = -4*b(x) - r(x). Let f be t(-3). Suppose p = 2*p - 1. Sort f, p, -4.\nAnswer: -4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 611 - 673. Which is the fourth biggest value?  (a) 2\/11  (b) 1\/3  (c) o  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 784, -2\/7, -9?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91 - -90.9963. Round d to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 72 - 48. Calculate the remainder when 370 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 379 = 44. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 7, -5, -1689 in ascending order.\nAnswer: -1689, -5, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 + -12)*(-8)\/(-3). Let o = 46 + n. Let x = 46 + -6. Calculate the remainder when x is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**6)\/l)**8\/((l\/l**(-1))\/(l\/(l*l**1))) assuming l is positive.\nAnswer: l**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17370 - -25670. Round k to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 840675 is divided by 1485?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 843 - 488. Suppose k = -5*s - 15. Let u = s + 116. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1144954 divided by -572477?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-1))\/((-104)\/(-16)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -5*i - 55. Suppose 91*j + 55 = 86*j. Let y be d(j). Suppose 2*p + 12 = 6*p. Solve 0 = -y*w + p*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3508 - 3507.4. Which is the fourth biggest value?  (a) v  (b) -3\/8  (c) 13  (d) 8  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7.1?  (a) -0.2  (b) 1\/4  (c) -1\/6  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -745 less than or equal to -713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -179 - -189 - (-2 + (2 - 6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - b = 9. Let x be b\/18 - (-50)\/12. Suppose 2*w - 5*w + x*p + 72 = 0, 4*w - 2*p = 106. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6 + 0)\/((-3 + 4)\/1). Let i be -2*3*(-51)\/z. Is 27 a factor of 6 + 9\/(-3) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32542916 to the power of 1\/2, to the nearest integer?\nAnswer: 5705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325\/10 + 1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-114*d + 57*d + 37*d + 2)*(28*d - 3*d + 2*d).\nAnswer: -540*d**2 + 54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/21 - 471986\/8078.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1008 divide 66783260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 131197, 267365, 403535, 539707, 675881, 812057?\nAnswer: 948235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -4 + 4 + 4 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30724*l**2 + 27073.\nAnswer: -61448*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 - -19. Let d = 50.55 - m. What is d rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*l + 28*l = g + 14, -4*g = 4*l - 8. Let k = -4.6 + 5. Put 0.3, k, g in increasing order.\nAnswer: 0.3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.472 and -502.\nAnswer: -236.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6675649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q. Let r(l) be the second derivative of 0*l**2 + 2*l**3 - 1\/2*l**4 - 29*l + 0. What is -r(u) + 12*x(u)?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -544 = h + 25*h + 8*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from lfnud.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m**3 + 8*m**3 - 42*m**3.\nAnswer: -53*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1428 - -1427.8. Which is the fourth smallest value?  (a) 2\/11  (b) -0.6  (c) n  (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(80)*-2 - sqrt(80))**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -897 - -896.9. What is the nearest to 2\/9 in -0.3, c, -7, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k**4 + 1811*k + 46*k**3 + 1832*k + 4*k**2 - 3643*k in the form j*k**2 + y + t*k**4 + s*k**3 + o*k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 279 + -271. Solve 3*m - b - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -200.9 - -201. Which is the smallest value?  (a) 1  (b) -0.0264  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -286*j + 2. Let k(r) = 15*r**2. What is k(b(m))?\nAnswer: 1226940*m**2 - 17160*m + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50671203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 9. What is the closest to 1 in 0.3, q, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*y = -404. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*d - 22 = -74 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 PM and 6:41 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2250 + -2366 + 25 + 5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 7*h - 12, -3*s = 2*h - 12. Suppose 5*c - 82 = -4*z, 7*c - 5*c - s*z - 40 = 0. Solve 0 = -4*u - 5*l - 1, -5*u + 2*u - c = -2*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3318404 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 - -38. Suppose m*g - 566 = 389. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 18 = 282. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 26 = -y, -5*o - 5*y = -63 + 18. Suppose 3 - o = -2*x. Let p(r) = r**2 + r**2 - 1 + x*r**3 + 47*r - 45*r. Give p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -549?  (a) 0.5  (b) 1  (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11999395 divided by -181?\nAnswer: -66295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/sqrt(44)*-6*-2.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) -0.4  (c) 1  (d) -0.93  (e) -16045\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -102001?\nAnswer: 102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3680\/12 - (-1)\/3. Suppose -q + 1562 = 5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4804ac (base 16) to base 6\nAnswer: -245054512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -7*z**2 - 5. Let n(i) = 3*i**2 + 2. Let b(f) = -5*n(f) - 2*s(f). Let v(u) = -5*u**2. Give v(b(g)).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m - 3 + 3)*(2*m**3 + m**3 - m**3) + 1 - m**4 - 1 + (0 + 0 - 2*m**3)*(3*m - m - m) - 3*m**4 + 1 - 1 as g*m**4 + q + i*m + y*m**3 + x*m**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-b + 3*b - b)*(b + 2*b - 2*b) + b**2 - 4*b**2 + 5*b**2 + b**2 - 2*b**2 + 0*b**2)*(51 + 83 + 34) + 3*b - 3*b + b**2 as x*b + o + f*b**2 and give f.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -236, 14, -3\/2, 37\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**4 + 1048*t**3 - 91872*t**2 + 2724840*t - 2634012 = 0. Calculate t.\nAnswer: 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1091418*x**2 - 13*x - 39789610.\nAnswer: -2182836*x - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 34\/5, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/23)*z*z**(-1\/67)*(z*z\/z**(14\/3)*z)\/(z*((z**(3\/7)*z)\/z*z)\/z) assuming z is positive.\nAnswer: z**(-65473\/32361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 139.42 + -141. Let l = v + 85.58. Let z = -83.999897 + l. What is z rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34*m**3*p**3 + m**3*p*s**2 + 5*m**3*s**3 - 2*m**2*p**3*s**3 + p**3*s**2 wrt s?\nAnswer: 30*m**3 - 12*m**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 190023391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1096 - -1092. Let o = 0.2 + -0.2. What is the closest to 1 in -1\/5, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 104\/63 + -10\/7. Let x = -0.64 - -0.2. Let l = x - -0.54. Which is the closest to n?  (a) 10  (b) 0.5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 29*w**3 - 32*w**2 - 288*w - 43. Let f be v(47). Round f to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.412 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s - 3. Let d be j(9). Let p(g) = -g**3 + 4*g**2 - g + 4. Let i be p(4). Let w be 6 + (-2 + 2 - i). What is the highest common divisor of w and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from dtkksqtu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -29. List the prime factors of 1\/(v\/(-4) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 times 73419?\nAnswer: -2349408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -50a (base 12) in base 13?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a. Let y be 0 - (-7)\/(7\/2). Let q(f) = 2*f - 7*f - y*f + 4*f. What is q(b(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 8) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8692 and -96883.\nAnswer: 842107036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -45*4*(18\/20 + -1). Let g be 17*4\/n - 18\/(-81). Solve -g*q - 16 = -h, h = -0*h + 5*q + 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2130 + 2129.75. Which is bigger: -1.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 22 = -82. Let t = 63 - p. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sffsdfr. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 4\/7  (c) 0.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -188397.3497 rounded to the nearest 100?\nAnswer: -188400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -183 + 219. Let t be ((-56)\/(-10))\/((-8)\/(-100)). Suppose 5*n = 5*s + p + 54, -t = -4*n + 2*s. What is the remainder when 32 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 169, 645, 1427, 2515?\n\"Answer: 153*c**2 + 17*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-eight fifths of a millimeter in micrometers?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -7. Let g = -14541 - -14545. Which is the nearest to 14?  (a) -1  (b) i  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*s - 158*s + 17 = 2*k, -3*s - 5*k + 29 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -5*p - 179, 3*i - p - 84 = 42. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -28612688, -28612681, -28612674, -28612667, -28612660?\n\"Answer: 7*k - 28612695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 561506.\nAnswer: 2, 11, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 5*r + 17*o - 15*o, -5*o + 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005408033315 rounded to 7 decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24552 divided by 2.\nAnswer: -12276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -9. Suppose -3*h + 4*h - 217 = -2*z, u*z + 5*h = 437. Suppose -62 = -5*r + w, r + 2 - 8 = -3*w. What is the highest common divisor of z and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7225 divided by 25.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 798300747 to the power of 1\/2, to the nearest integer?\nAnswer: 28254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 0.5  (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**13*f*f\/(f*f\/f**7) assuming f is positive.\nAnswer: f**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 104 = -s. Suppose 17 = 3*h - 10. Calculate the remainder when s is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (104\/(-16))\/((-3)\/6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-147))\/(6\/(-7))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3393 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.69 and -2?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-384)*-8*-9.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -23890381095 and -0.2.\nAnswer: -23890381095.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 12*f. Let g(t) be the first derivative of t**5\/60 + 4*t**3 - 11. Let d(m) be the third derivative of g(m). Determine d(c(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, s: 2, m: 3, a: 1, p: 2, e: 2}. Give prob of picking 2 m, 1 s, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 26\/1247 + -85814\/288057. Let y = n - -2\/21. Let w = 0.09 + 0.61. What is the closest to -2\/7 in 1, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10561908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2. Let d(o) be the first derivative of 1 - 5\/3*o**3 + 0*o**2 + 0*o. What is r(d(u))?\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30427492 - 6*x - 30427492.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 3 + 3)*(-h + h + h) + (2*h - 4*h + 7*h)*(h - 3*h + 5*h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8487520 + 0?\nAnswer: -8487520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -97*c**2 + 100*c**2 + 0 + 5 to f*c + a + j*c**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1108, 1133, 1158, 1183, 1208, 1233?\n\"Answer: 25*l + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 319 and 110.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -7 + 5\/2*x**2 + 0*x. Let y(k) = 3*k**2 + 3211 - 3211. Calculate z(y(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (495\/(-810))\/((-1)\/(-3)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 542339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express r - r**2 + 0 - 3 - 3 + 3 as j + i*r + f*r**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 - -54. Let o = v + -19.1. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 7*o + 2. Let t(u) = -6*u - 2. Let v(f) = -6*h(f) - 4*t(f). Let g be v(-6). Let z(j) = 104 - g - 9*j**2. Let k(r) = -3*r. Calculate z(k(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llyk when four letters picked without replacement from {k: 1, y: 1, f: 3, l: 5, q: 1, d: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110001101000101101101 + -10?\nAnswer: -101110001101000101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15201.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.85 + 0.75. Let f = -0.2 + -0.1. Suppose 12 = 5*v - 4*v + 3*a, 28 = 5*v - a. What is the biggest value in q, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 6*s - 1. Let j(y) = 7*y - 1. Let l be 2\/(-1*4\/10). What is l*j(x) + 6*r(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmgo when four letters picked without replacement from oowoxgmmcmmmwgcoox.\nAnswer: 5\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 143 + -141. Suppose -2 = -l - o, -4*l + 2*o - r = 2. Solve l = -2*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 12:53 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39782*p - 39794*p + 7 + 197 = 0 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -95*i**2*v - 6287*i*v + 3*v + 2825700 wrt i?\nAnswer: -190*i*v - 6287*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*w - 113691 - 1368387 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 952 and 65029692.\nAnswer: 130059384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 3*z + 3, -l - 19 = -5*z - 24. Solve l = -3*r + n - 13, -28*r = -25*r - 5*n + 29 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -ab - -5?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -z**6\/15 - z**3\/3 + 4*z + 3. Let k(r) be the first derivative of w(r). What is the second derivative of k(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (15\/(-55))\/(24\/(-28248)) is divided by 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**3\/8 + 3*b**2\/8 - b\/4 = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -441223 - 360971 = -13*k - 136685. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 458*k + 326 = 239 - 1287 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1759084 micrograms to kilograms.\nAnswer: 0.0000000001759084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10866 (base 16) to base 10.\nAnswer: -67686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1  (b) 2.3  (c) -0.2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 3 = -2*l. Let k(n) be the second derivative of -n**5\/20 - n**4\/12 - n**2 - 106*n. What is the units digit of k(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1562 + 0?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/891376 and -10\/389977.\nAnswer: 6239632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15.4 - -3.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*w - 9 = 34*w. Is w*((-134790)\/18)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 780876650 to the nearest integer?\nAnswer: 27944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*s**2 - 17*s**2 - 21*s**2 + 11*s**2 in the form m*s**2 + c*s + y and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + 91976\/88 + (-4)\/22. Let r = 3150 - c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 187628 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 132 and 1181268?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 4*t**2 + 7*t. Let r be p(5). Let n = 6856 + -6860. Which is the second smallest value?  (a) r  (b) 5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 70?  (a) 2\/17  (b) 0.02  (c) -70  (d) -54  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1992583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*p - 2. Suppose -s = 4*b, -3*s + 7*b - 16 = 3*b. Let c be 1*(-1)\/s*4. Solve 4*x - 4*t = 0, t - p = 2*x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 12 + 168. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 54*o - 9 = 51*o, o + 14 = 5*w. Solve -w*s = 18*s + 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1976, 1980, 1972, 1946, 1896?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 4*f - 2*f - 805 = 0, 3*f = 4*k - 644. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -20051*t. Let a(d) = -2*d**2. Calculate a(s(q)).\nAnswer: -804085202*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 64555 by -12911.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 158 - -2799?\nAnswer: 2946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)*2 + -2.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*4\/(-8) - 2. Let f be (76\/(-190))\/(9\/10 + j). Solve -f*s = s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -104.936 - -14.\nAnswer: -90.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 1 - 2 - 1 + 9 + 2 + (0 + 0 + 1)*(2 - 4 - 1) + 1 + 2 - 4)*(3 + g - 5 - 2*g) to the form l + r*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2*-6602.178\nAnswer: -13204.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 5. Let p = -2 - k. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 55*t**2. Let v(n) = n**2. Determine k(v(f)).\nAnswer: 55*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, y: 4, t: 6, d: 1, z: 3}. What is prob of picking 2 y and 1 z?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15487670 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 3*b + 37 = 0, -36*z + 12*b + 291 = 15*b for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -75, 6 in increasing order.\nAnswer: -75, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2408 a factor of 368106144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + sqrt(192)*3 + 2 - (sqrt(1470) - sqrt(1470)*3 - sqrt(30))\/sqrt(10)) + 3)**2.\nAnswer: 470*sqrt(3) + 6652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2. Let m(o) = -3*o**2 + 2*o. Let k(i) = 153*i + i**2 + 7 + 10 - 136*i. Let j be k(-16). Calculate j*m(p) + 2*v(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -33 + -232300?\nAnswer: -232333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 3622881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -96*h. Suppose -2*y - 258 = -2*t, -5*t - y + 652 = y. Let s(x) = 59*x - t*x + 70*x. What is s(o(d))?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0924 and 0.047.\nAnswer: -0.0043428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1689 is divided by 432?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -427531 = 2162*i + 9251*i - 50902 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*j**3 + 6*j**2 - 67*j**3 - 6*j**2.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 40 = -48. Calculate the smallest common multiple of r and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (9\/6)\/(12\/1376)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 3 = 10*p. Let r = -7654 - -7653.9. Sort r, 1\/2, 3, p in descending order.\nAnswer: 3, 1\/2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2081 - -0.1081. Which is the third biggest value?  (a) -1\/2  (b) x  (c) 1  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 25114, 50392, 75844, 101476, 127294, 153304?\n\"Answer: q**3 + 81*q**2 + 25028*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 1 = 7. Suppose t + 326 = m*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2*i)**(8\/17)\/((i*i*(i**(-13)\/i)\/i)\/(i*i\/(i\/(i**(4\/9)*i)))) assuming i is positive.\nAnswer: i**(2579\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22?  (a) 1\/9  (b) -0.09  (c) 68  (d) -1  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/((-5)\/(10\/4)). Suppose -j*w + 25 = w. Suppose 11 = w*p - 19. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48865315 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}